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Paper Citation Record · LEDGER

Affine calculus for constrained minima of the Kullback-Leibler divergence

As of 22 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2502.02177.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.02177 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:14:14.165199Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved9
  • parse uncertain1
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3989095d-9884-4bcc-8bfa-b8ecd9281a6d · outbound

This paper cites Organizer Preben F.

Affine calculus for constrained minima of the Kullback-Leibler divergence Organizer Preben F

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 779390cc-5337-4789-9f30-cf6ec46d8e7b · outbound

This paper cites 2, 251–276.

Affine calculus for constrained minima of the Kullback-Leibler divergence 2, 251–276

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.553507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.050658Z digest=sha256:5e02d87fd50c88982006a2dd0caaf58bd1e66b135954437312cccde052bd7286

Observation 4520ccdd-ee96-46f2-ae05-1c5096b6dead · outbound

This paper cites 194, Springer, [Tokyo], 2016.

Affine calculus for constrained minima of the Kullback-Leibler divergence 194, Springer, [Tokyo], 2016

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.540451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f6b1aaac-f2df-4cca-bd33-595d29622361 · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.527005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.060170Z digest=sha256:0f3c7abfe34b6e8f9d5843be2370cdfc48874fe6c68d95254a79d70747951c2d

Observation f0d7e9d7-89a0-4f6d-82c5-9d5e1899bec9 · outbound

This paper cites MR 1 800 071.

Affine calculus for constrained minima of the Kullback-Leibler divergence MR 1 800 071

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.513508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.065417Z digest=sha256:4aee055376c57e762618195975590d80091da2610c8ad29d17d64142739371bb

Observation 78ff9bb0-790f-4518-9c70-eee385f86e85 · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.500007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.070455Z digest=sha256:19082bf17e134a72820a8b8a5e3ae212a42af0fbf26cf919b2b8112c71b546b1

Observation ab5825ef-c149-4d73-9509-43db461b4831 · outbound

This paper cites Brown, Fundamentals of statistical exponential families with app lications in statistical decision theory, IMS Lecture Notes.

Affine calculus for constrained minima of the Kullback-Leibler divergence Brown, Fundamentals of statistical exponential families with app lications in statistical decision theory, IMS Lecture Notes

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.486297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.075390Z digest=sha256:842e6a8aabd3c9e5b9b70d14705f443335d19e0a8b58b8ec141c78de7632f355

Observation 04d48209-03d4-4a63-86c7-b93248b6cc34 · outbound

This paper cites 13, 2250214.1–46.

Affine calculus for constrained minima of the Kullback-Leibler divergence 13, 2250214.1–46

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.459043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f1c9c0d7-4f1c-4675-83b1-327836b23e09 · outbound

This paper cites Dually affine Information Geometry modeled on a Banach space.

Affine calculus for constrained minima of the Kullback-Leibler divergence Dually affine Information Geometry modeled on a Banach space

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T13:14:14.090149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bba583f7-7140-4d42-98f2-bdf84ae019e6 · outbound

This paper cites Cover and Joy A.

Affine calculus for constrained minima of the Kullback-Leibler divergence Cover and Joy A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.445795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.095311Z digest=sha256:972c0e384d76fc18f9cc2c7671cc84ece4074e665789c7e5948de074f3ba18a7

Observation 9b429d08-e89b-4a8a-999e-c4384e1d1401 · outbound

This paper cites MR 1138207 (92i:53001).

Affine calculus for constrained minima of the Kullback-Leibler divergence MR 1138207 (92i:53001)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.432740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.100335Z digest=sha256:2827d492e55863bc92cbbea25fa981f6501b8854c078aa0437fd501396083d15

Observation 3d06e568-e4d2-4e14-bee4-f520f0f14f93 · outbound

This paper cites 5, Cambridge University Press, New York, 2016, Algorithms, evidence, and data science.

Affine calculus for constrained minima of the Kullback-Leibler divergence 5, Cambridge University Press, New York, 2016, Algorithms, evidence, and data science

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.419011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.105481Z digest=sha256:ded2f815b97f25864dfc013eb936c6fd2c71d6733ebf3b8096adaa78af4208fb

Observation 4165fe47-5051-40ab-824f-8d31aa41ed49 · outbound

This paper cites Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, D avid Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio, Generative adversarial networks , 2014.

Affine calculus for constrained minima of the Kullback-Leibler divergence Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, D avid Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio, Generative adversarial networks , 2014

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e9d927cb-c828-4e64-a663-d25fc7e260f2 · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.389012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 651e7034-b3a9-4941-8afc-bfa18942dcf1 · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.375219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.118485Z digest=sha256:e50768330c165c245df99d17ccbe362fb0d45f1ddaf17081ec90829f5ed68058

Observation 84a7834c-87fb-4bc2-8b6f-63bcd2790ae1 · outbound

This paper cites Landau and Eugenij M.

Affine calculus for constrained minima of the Kullback-Leibler divergence Landau and Eugenij M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.360985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.122611Z digest=sha256:030033c478b2e8a71f59a5edbe23254bde952952f21b3f4356faef78efa0a0a6

Observation 96555a1b-832c-4c0e-90a0-1eaa308cc17d · outbound

This paper cites 160, Springer-Verlag, 1995.

Affine calculus for constrained minima of the Kullback-Leibler divergence 160, Springer-Verlag, 1995

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.347190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.126819Z digest=sha256:5eb578e9c1815296bd711d49f6ef2635235cb02515d768d754d2313becc0090c

Observation 7a6d7c19-d225-4f54-994e-0857b4da5410 · outbound

This paper cites Lin, Divergence measures based on the Shannon entropy, IEEE Transactions on Information Theory 37 (1991), no.

Affine calculus for constrained minima of the Kullback-Leibler divergence Lin, Divergence measures based on the Shannon entropy, IEEE Transactions on Information Theory 37 (1991), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.333422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.131201Z digest=sha256:f6ccce0fcfa4a8fcbe4973a1b6e892781a230d2f24e68b57a17be72566b2a774

Observation a1c5d209-6674-4cd5-906c-a1bf4b7afe52 · outbound

This paper cites 2, 137–179.

Affine calculus for constrained minima of the Kullback-Leibler divergence 2, 137–179

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.318933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.135341Z digest=sha256:d2f1a75ac122db0df88fbd9dd84305c2129ed3b6d507b6a27a2d62e675c25514

Observation d2e4fe9c-a19f-4e95-a820-3e7ed38b74ed · outbound

This paper cites 1034, Springer-Verlag, 1983.

Affine calculus for constrained minima of the Kullback-Leibler divergence 1034, Springer-Verlag, 1983

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.303549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.139639Z digest=sha256:2e6ea79560727cfd2b58d81f73c62ac556c46d3ad4b5c563ea3e19bce6be2d28

Observation 0554b496-ee6d-420e-afbb-fc862a4f935a · outbound

This paper cites Computational Optimal Transport.

Affine calculus for constrained minima of the Kullback-Leibler divergence Computational Optimal Transport

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-09T13:14:14.143944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:14:14.143944Z digest=sha256:e8632b824d7001f1789bb78abae2078682db256c6d0fc0ca6a044ab08c8cdbf5

Observation b2a966ef-5635-44a4-b976-764507c3fbaa · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.288357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 727ca85f-37df-4305-b277-23309b0132c0 · outbound

This paper cites 2, 221–242.

Affine calculus for constrained minima of the Kullback-Leibler divergence 2, 221–242

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.274173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.152719Z digest=sha256:8856cddfe5cdeba3023a1cb6b0b48c854460e4ac914fe693bb957a5fdbebc62a

Observation 362e09d9-1eb2-40a9-8c98-17954acef433 · outbound

This paper cites 752–759, Springer International Publishing, 2021.

Affine calculus for constrained minima of the Kullback-Leibler divergence 752–759, Springer International Publishing, 2021

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:14:14.259194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.156840Z digest=sha256:d616ecaec681c24a4edad5eda5270b1ca63e4fe26395d6d66238558b6303f7dd

Observation 6e87c9ea-7175-4ef6-b13f-18ed3e2bf3a2 · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.244978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.161001Z digest=sha256:a23d92c52760955dc2e6af3bb93b7bf08be9e31e58dc3c9d8761afe2c324d1b8

Observation 77f7be6b-edd1-48b1-9baf-54e34692646f · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:14:14.230075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.165199Z digest=sha256:a1134ca7e56bd07b3b5585558c2e722e1bc21e59b908ebe9121d4a51e3727c0b

Observation fdb9bd50-fc75-4b3a-8479-d6ba7804113d · outbound

This paper cites an unresolved cited work.

Affine calculus for constrained minima of the Kullback-Leibler divergence Unresolved cited work

Reference 1986

Resolution
parse uncertain
raw_fallback, observed 2026-08-09T13:14:14.472127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T13:14:14.080389Z digest=sha256:2619320922bfced6a0fb0edc8dd8b5b8c858475d152fb80c4f288d1a0f210449

Pith citing papers

No inbound Pith citation observations are available.