US5768426A
Expired / Lapsed
US
⏱️ 0.0 years remaining
Graphics processing system employing embedded code signals
Assignee: Digimarc Corp
•
Filing: 1994-10-21
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Granted: 1998-06-16
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Expires: 2014-10-21
Abstract
Abstract An identification code signal is impressed on a carrier to be identified (such as an electronic data signal or a physical medium) in a manner that permits the identification signal later to be discerned and the carrier thereby identified. The method and apparatus are characterized by robustness despite degradation of the encoded carrier, and by holographic permeation of the identification signal throughout the carrier. An exemplary embodiment is a processor that embeds the identification signal onto a carrier signal in real time.
Inventors
- 👤 Geoffrey B. Rhoads
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-28 04:00
CPC Classifications
H; H04; H04N; H04N5/00; H04N5/76; H04N5/91; H04N5/913; G; G06; G06Q; G06Q20/00; G06Q20/30; G06Q20/34; G06Q20/341; G06Q20/38; G06Q20/40; G06Q20/401; G06Q20/4014; G06Q20/40145; G06T; G06T1/00; G06T1/0021; G06T1/005; G06T1/0057; G07; G07C; G07C9/00; G07C9/20; G07C9/22; G07C9/25; G07C9/253; G07D; G07D7/00; G07D7/003; G07D7/0032; G07D7/004; G07F; G07F17/00; G07F17/16; G07F17/26; G07F7/00; G07F7/08; G07F7/086; G07F7/10; G07F7/1008; G07F7/1016; G07F7/12; G10; G10L; G10L19/00; G10L19/018; G11; G11B; G11B20/00; G11B20/00086; G11B20/00094; G11B20/00115; G11B20/00166; G11B20/00181; G11B20/0021; G11B20/00884; G11B20/00891; H04B; H04B1/00; H04B1/66; H04B1/665; H04N1/00; H04N1/00002; H04N1/00005; H04N1/00026; H04N1/00037; H04N1/00071; H04N1/00074; H04N1/00079; H04N1/00838; H04N1/0084; H04N1/00843; H04N1/00846; H04N1/32; H04N1/32101; H04N1/32144; H04N1/32149; H04N1/32203; H04N1/32208; H04N1/32251; H04N1/32288; G06T2201/00; G06T2201/005; G06T2201/0052; G06T2201/0065; G06T2201/0081; H04N2005/91307; H04N2005/91321; H04N2005/91335; H04N2201/00; H04N2201/32; H04N2201/3201; H04N2201/3204; H04N2201/3205; H04N2201/3207; H04N2201/3225; H04N2201/3226; H04N2201/3233; H04N2201/3269; H04N2201/327; H04N2201/3271; H04N2201/328
Claims Analysis
Total Claims: 19
Claim 1
Independent Claim
241 words
A steganographic method that includes changing values of input pixels corresponding to an input two-dimensional image to encode an N-bit auxiliary data signal therein, thereby yielding encoded output pixels defining an encoded output image, N being at least two, the method characterized as follows: a difference between the output image and the input image yields a two-dimensional frame of difference data, each difference datum corresponding to an input pixel; each bit of the N-bit auxiliary data signal corresponds to a plurality of said input pixels; there exists first and second input pixels, each having the same value and each encoded by a same bit of the auxiliary data signal, where a difference datum corresponding to the first input pixel is positive, and a difference datum corresponding to the second input pixel is negative; and there exists third and fourth input pixels, each encoded by a same bit of the auxiliary data signal, for which a value of the third input pixel is greater than a value of the fourth input pixel by a first ratio in excess of 1.0, and an absolute value of a difference datum corresponding to the third input pixel is greater than an absolute value of a difference datum corresponding to the fourth input pixel by a second ratio, where said second ratio is less than the first ratio, and the absolute value of the difference datum corresponding to the fourth input pixel is greater than zero.
Claim 2
Dependent Claim
241 words
A steganographic method that includes changing values of input pixels corresponding to an input two-dimensional image to encode an N-bit auxiliary data signal therein, thereby yielding encoded output pixels defining an encoded output image, N being at least two, the method characterized as follows: a difference between the output image and the input image yields a two-dimensional frame of difference data, each difference datum corresponding to an input pixel; each bit of the N-bit auxiliary data signal corresponds to a plurality of said input pixels; there exists first and second input pixels, each having the same value and each encoded by a same bit of the auxiliary data signal, where a difference datum corresponding to the first input pixel is positive, and a difference datum corresponding to the second input pixel is negative; and there exists third and fourth input pixels, each encoded by a same bit of the auxiliary data signal, for which a value of the third input pixel is greater than a value of the fourth input pixel by a first ratio in excess of 1.0, and an absolute value of a difference datum corresponding to the third input pixel is greater than an absolute value of a difference datum corresponding to the fourth input pixel by a second ratio, where said second ratio is less than the first ratio, and the absolute value of the difference datum corresponding to the fourth input pixel is greater than zero.
Claim 3
Dependent Claim
319 words
A computer-implemented digital steganography method for conveying digital signature data, the method comprising encoding and decoding processes in which: (a) the encoding process comprises: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; and wherein: the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; there is substantially no part of the encoded pixel data corresponding to input pixel data meeting said criterion, for which the encoded signature data is not present to some degree; the digital signature data is redundantly encoded at least first and second times in the graphical image, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common, and wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; and (b) the decoding process comprises: discerning the digital signature data from the encoded pixel data, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; wherein the digital signature data is discerned without reference to data corresponding to an original, unencoded version of said graphical image.
Claim 4
Dependent Claim
319 words
A computer-implemented digital steganography method for conveying digital signature data, the method comprising encoding and decoding processes in which: (a) the encoding process comprises: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; and wherein: the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; there is substantially no part of the encoded pixel data corresponding to input pixel data meeting said criterion, for which the encoded signature data is not present to some degree; the digital signature data is redundantly encoded at least first and second times in the graphical image, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common, and wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; and (b) the decoding process comprises: discerning the digital signature data from the encoded pixel data, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; wherein the digital signature data is discerned without reference to data corresponding to an original, unencoded version of said graphical image.
Claim 5
Dependent Claim
323 words
A computer-implemented digital steganography method for conveying digital signature data, the method comprising encoding and decoding processes in which: (a) the encoding process comprises: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; and wherein: the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; there is substantially no part of the encoded pixel data, corresponding to input pixel data meeting said criterion, for which the encoded signature data is not present to some degree; and the digital signature data is encoded redundantly through the encoded pixel data, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common; and (b) the decoding process comprises: discerning the digital signature data from the encoded pixel data, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; said discerning including discerning the digital signature data from corrupted encoded pixel data, the corrupted encoded pixel data comprising said encoded pixel data transformed to effect a rotation of the graphical image corresponding thereto; wherein the digital signature data is discerned without reference to data corresponding to an original, unencoded version of said graphical image, and wherein at least certain rotations of the encoded pixel data do not defeat said decoding.
Claim 6
Dependent Claim
323 words
A computer-implemented digital steganography method for conveying digital signature data, the method comprising encoding and decoding processes in which: (a) the encoding process comprises: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; and wherein: the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; there is substantially no part of the encoded pixel data, corresponding to input pixel data meeting said criterion, for which the encoded signature data is not present to some degree; and the digital signature data is encoded redundantly through the encoded pixel data, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common; and (b) the decoding process comprises: discerning the digital signature data from the encoded pixel data, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; said discerning including discerning the digital signature data from corrupted encoded pixel data, the corrupted encoded pixel data comprising said encoded pixel data transformed to effect a rotation of the graphical image corresponding thereto; wherein the digital signature data is discerned without reference to data corresponding to an original, unencoded version of said graphical image, and wherein at least certain rotations of the encoded pixel data do not defeat said decoding.
Claim 7
Dependent Claim
275 words
A computer-implemented digital steganography method for use by proprietors of graphical images to convey digital signature data, the digital signature data comprising a plurality of binary bits, the method comprising: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantialy all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said processing including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said method resulting in steganographic encoding of digital signature data into regions of the image having substantially non-uniform pixel values; wherein the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; and the digital signature data is encoded redundantly through the encoded pixel data, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common.
Claim 8
Dependent Claim
275 words
A computer-implemented digital steganography method for use by proprietors of graphical images to convey digital signature data, the digital signature data comprising a plurality of binary bits, the method comprising: providing input pixel data corresponding to a two-dimensional graphical image, each input pixel datum having a value; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantialy all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said processing including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said method resulting in steganographic encoding of digital signature data into regions of the image having substantially non-uniform pixel values; wherein the encoded pixel data is neither shrunk nor expanded in total size, compared to the input pixel data; and the digital signature data is encoded redundantly through the encoded pixel data, so said signature data can be decoded both from first and second excerpts of the encoded pixel data, where said first and second excerpts have no pixels in common.
Claim 9
Dependent Claim
186 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to perform the following digital steganography method on input pixel data corresponding to a two-dimensional graphical image; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance with a data hiding parameter corresponding thereto to produce encoded pixel data having digital signature data steganographically encoded therein; said method including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said method resulting in steganographic encoding of digital signature data into regions of the image having substantially non-uniform pixel values.
Claim 10
Dependent Claim
186 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to perform the following digital steganography method on input pixel data corresponding to a two-dimensional graphical image; for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance with a data hiding parameter corresponding thereto to produce encoded pixel data having digital signature data steganographically encoded therein; said method including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said method resulting in steganographic encoding of digital signature data into regions of the image having substantially non-uniform pixel values.
Claim 11
Dependent Claim
323 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to selectively perform the following digital steganography methods: (a) steganographically encoding input pixel data with digital signature data, said input pixel data corresponding to a two-dimensional graphical image, the method comprising: for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said encoding including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said digital signature data including a plurality of binary bits collectively representing first and second data fields, one of said fields serving to identify a proprietor of the image, the other of said fields serving to track a particular graphical image; (b) steganographically decoding encoded pixel data corresponding to an encoded two-dimensional graphical image, the method comprising: discerning from the encoded pixel data, first and second data fields, one of said fields serving to identify a proprietor of the image, and the other of said fields serving to track a particular image, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; wherein said first and second fields are discerned without reference to data corresponding to an original, unencoded version of said graphical image.
Claim 12
Dependent Claim
323 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to selectively perform the following digital steganography methods: (a) steganographically encoding input pixel data with digital signature data, said input pixel data corresponding to a two-dimensional graphical image, the method comprising: for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said encoding including encoding the digital signature data at least first and second times in the graphical image, wherein changes to said pixel values caused by the first encoding of the digital signature data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the digital signature data the second time; said digital signature data including a plurality of binary bits collectively representing first and second data fields, one of said fields serving to identify a proprietor of the image, the other of said fields serving to track a particular graphical image; (b) steganographically decoding encoded pixel data corresponding to an encoded two-dimensional graphical image, the method comprising: discerning from the encoded pixel data, first and second data fields, one of said fields serving to identify a proprietor of the image, and the other of said fields serving to track a particular image, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; wherein said first and second fields are discerned without reference to data corresponding to an original, unencoded version of said graphical image.
Claim 13
Dependent Claim
314 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to selectively perform the following digital steganography methods: (a) steganographically encoding input pixel data with digital signature data, said input pixel data corresponding to a two-dimensional graphical image, the method comprising: for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said digital signature data including a plurality of binary bits collectively representing first and second data fields, one of said fields serving to identify a proprietor of the image, the other of said fields serving to track a particular graphical image; (b) steganographically decoding encoded pixel data corresponding to an encoded two-dimensional graphical image, the method comprising: discerning from the encoded pixel data, first and second data fields, one of said fields serving to identify a proprietor of the image, and the other of said fields serving to track a particular image, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; said discerning including discerning the digital signature data from corrupted encoded pixel data, the corrupted encoded pixel data comprising said encoded pixel data transformed to effect a rotation of the graphical image corresponding thereto; wherein said first and second fields are discerned without reference to data corresponding to an original, unencoded version of said graphical image, and wherein at least certain rotations of the encoded pixel data do not defeat said decoding.
Claim 14
Dependent Claim
314 words
A computer program stored in a computer-readable storage medium, said program causing a computer programmed thereby to selectively perform the following digital steganography methods: (a) steganographically encoding input pixel data with digital signature data, said input pixel data corresponding to a two-dimensional graphical image, the method comprising: for each of a plurality of regions of the graphical image, determining a data hiding parameter related thereto, the data hiding parameter being related by a non-proportional function to pixel value data corresponding to said region; and for each of substantially all of said input pixels meeting a criterion, processing the value thereof in accordance both with a data hiding parameter corresponding thereto and with at least a portion of said digital signature data, wherein encoded pixel data is produced having said digital signature data steganographically encoded therein; said digital signature data including a plurality of binary bits collectively representing first and second data fields, one of said fields serving to identify a proprietor of the image, the other of said fields serving to track a particular graphical image; (b) steganographically decoding encoded pixel data corresponding to an encoded two-dimensional graphical image, the method comprising: discerning from the encoded pixel data, first and second data fields, one of said fields serving to identify a proprietor of the image, and the other of said fields serving to track a particular image, said discerning including performing a plurality of statistical analyses relating to the encoded pixel data; said discerning including discerning the digital signature data from corrupted encoded pixel data, the corrupted encoded pixel data comprising said encoded pixel data transformed to effect a rotation of the graphical image corresponding thereto; wherein said first and second fields are discerned without reference to data corresponding to an original, unencoded version of said graphical image, and wherein at least certain rotations of the encoded pixel data do not defeat said decoding.
Claim 15
Dependent Claim
59 words
The method of claim 1 which further includes storing at least a portion of the N-bit auxiliary data signal in an automated machine-implemented public registry in association with data identifying a proprietor of said image, whereby a third party can consult the registry to identify the proprietor to whom the image encoded with said N-bit auxiliary data signal corresponds.
Claim 16
Dependent Claim
48 words
The method of claim 8 which includes encoding first and second N-bit auxiliary data in said image, and storing only data from said first N-bit auxiliary data in said automated machine-implemented public registry, wherein said second N-bit auxiliary data is private auxiliary data not known to said registry.
Claim 17
Dependent Claim
36 words
The method of claim 8 which further includes discerning the N-bit auxiliary data from the encoded image and determining, from said automated machine-implemented registry and from said discerned auxiliary data, the proprietor of said graphical image.
Claim 18
Dependent Claim
20 words
The method of claim 10 which includes making a copyright royalty payment to said proprietor through said automated machine-implemented registry.
Claim 19
Dependent Claim
60 words
The method of claim 1 which includes encoding the N-bit auxiliary data at least first and second times in the image, wherein changes to said pixel values caused by the first encoding of the auxiliary data differ, both in absolute value and percentage value, from changes to said pixel values caused by encoding of the auxiliary data the second time.
References Cited (Backward Citations)
US3493674A
Cited
US3585290A
Cited
US4231113A
Cited
US3569619A
Cited
US3655162A
Cited
US4944036A
Cited
US3703628A
Cited
US3971917A
Cited
US3805238A
Cited
US3922074A
Cited
US3809806A
Cited
US3838444A
Cited
US3982064A
Cited
US3914877A
Cited
US3984624A
Cited
US4025851A
Cited
US4252995A
Cited
US4238849A
Cited
US4225967A
Cited
US4379947A
Cited
US4230990A
Cited
US4230990C1
Cited
GB2063018B
Cited
GB2067871A
Cited
US4313197A
Cited
US4423415A
Cited
US4528588A
Cited
US4595950A
Cited
US4389671A
Cited
US4395600A
Cited
US4380027A
Cited
US4367488A
Cited
US4476468A
Cited
US4425642A
Cited
US4665431A
Cited
US4967273A
Cited
US4547804A
Cited
US4639779A
Cited
US4805020A
Cited
US4532508A
Cited
US4908873A
Cited
US4553261A
Cited
US4590366A
Cited
US4660221A
Cited
US4637051A
Cited
US4675746A
Cited
US4703476A
Cited
US4835517A
Cited
US5166676A
Cited
US4672605A
Cited
US4654867A
Cited
US4677435A
Cited
US4663518A
Cited
US4921278A
Cited
US4647974A
Cited
US4750173A
Cited
US4682794A
Cited
US4820912A
Cited
US4765656A
Cited
US4712103A
Cited
US4775901A
Cited
US4776013A
Cited
US4876617A
Cited
US4718106A
Cited
GB2196167B
Cited
US4739377A
Cited
US5293399A
Cited
US4864618A
Cited
US4884139A
Cited
US4866771A
Cited
US4903301A
Cited
GB2204984B
Cited
US4941150A
Cited
US4965827A
Cited
US4979210A
Cited
US4855827A
Cited
US5150409A
Cited
US4807031A
Cited
US4811408A
Cited
US5075773A
Cited
US4811357A
Cited
US5394274A
Cited
DE3806411C2
Cited
US4885632A
Cited
US4879747A
Cited
US4874936A
Cited
US5079648A
Cited
US4963998A
Cited
US4920503A
Cited
US5213337A
Cited
US5073899A
Cited
US5144660A
Cited
US4943976A
Cited
US4969041A
Cited
US4939515A
Cited
US4908836A
Cited
US5113437A
Cited
US5161210A
Cited
US5095196A
Cited
US5010405A
Cited
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