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Paper Citation Record · LEDGER

Affine calculus for constrained minima of the Kullback-Leibler divergence

As of 11 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 2026-08-11T06:34:44.6726+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
raw_fallback, observed 2026-08-09T13:14:14.566695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.050658Z digest=sha256:edc9037360e7ab8bfacc4d60ef20a1ba3b56e83666935beb9306bb037dd94a93

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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.060170Z digest=sha256:88c030ea585380693d07dd95fe3774cd50363bd10875fbd122afe06a95c2ed11

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.065417Z digest=sha256:966c0c575052a65a85b56741406d6466d7fd3d6f7c345f60618f27d85ec2431f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.070455Z digest=sha256:44fc66ee1dd4f623e4abf7b6e8f71b1226e3252743ee09b85293426b185c8be0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.075390Z digest=sha256:8c79421a1caba56536b3bf8597cc15776a8041eeb8658456061b144002917503

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.085079Z digest=sha256:bc774123e9a6c6eefbd4f8ae889fe0ff58bc6d88e7c4a2272b59447aefcd2e15

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.

source=pdf_text observed=2026-08-09T13:14:14.090149Z digest=sha256:eb4c4314a60969f86bcaa8d154f9fa66ac80c2451c8a88e2d68d3a348232f3ff

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.095311Z digest=sha256:81816637c4827177ca77d52ae2e4a4b6f6ccae58571fd584f747c00d4939d520

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.100335Z digest=sha256:dee65cf1144becbe3d063ba24f1c3effb657772688982c58e84a14c2de274160

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.105481Z digest=sha256:b1e4607b675ccace2b6b24872bfe14857ed4e302159433324b8a42c59a203512

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
raw_fallback, observed 2026-08-09T13:14:14.404154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.109879Z digest=sha256:bbc555fba04ce71974eed9829c5def078688d124d620a821c7f6200f51806cb0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.114345Z digest=sha256:0e8003f8bd3a84b69488f5dcb06c5441f3fda6db222f1a39bd3946bc550c595f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.118485Z digest=sha256:fb626e01152066dd795204bca4c234c049ea561e6e4ed5dfb8ae516e13ddbbfa

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.122611Z digest=sha256:7c63c83a537f70c2af6db4390383876ab2a613e08127241464192ecf958474af

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.126819Z digest=sha256:a43ce878a17b826c3f49e2d9a61d031cf29930eac82cb866539180e1c23d0663

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.131201Z digest=sha256:5aadf911ec148b762c1474f522a2306b8536c3ca85f25249e4e18b35e7e1808f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.135341Z digest=sha256:fbf5b9e9a7e962754de7414c1b0e565f0578c773fb386f37ea37cd1a050edae8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.139639Z digest=sha256:3f80330bcf223649e810c2b854c624c10ad7fad56aedf769a1393e8836f1f785

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=sha256:5c1a97e1a51c02c2481b3e0da8694a169419496067188d42c0d27479d3a97a72

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.148432Z digest=sha256:7bef1b2572dbe99d6f9f48fa48f770aa3442c713297cab38473acac51e0a94ef

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.152719Z digest=sha256:28f7ad1069988a09964e149898bc6276d3a1c1cd7df7c795cb0ce4ca65322b53

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.156840Z digest=sha256:a5b3169736dfe2e386ac65ab3f36e82295eab0d102b9542cfbc4eba4d4819e10

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.161001Z digest=sha256:2fc36aea9e03b9f894482808672982812bd1c095539856173738b75c827aea5e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.165199Z digest=sha256:6ce243a6d4507b3ade81f8acd8c217fb6782926266a914061884d4610781e3bd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T13:14:14.080389Z digest=sha256:74a2f30b894e66c8a1525aeb74f1de28836feea77e3d63fe3a8c16f6460a60e6

Pith citing papers

No inbound Pith citation observations are available.