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Paper Citation Record · LEDGER

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.14317.

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

pith.paper-citation-record.v1
2411.14317 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:26:53.691346Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T23:04:26.136775Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T23:05:12.617670Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47a5cd26-3906-43c1-9583-a587115109d2 · outbound

This paper cites The Mechanics and Statistics of Active Matter.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking The Mechanics and Statistics of Active Matter

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.550430Z digest=sha256:f9289d6d61cc5ed311d7087ca56578c5775e05ee9ec937e796546e346d1e2618

Observation 05440587-9a35-482f-877f-b0bb1c35187e · outbound

This paper cites an unresolved cited work.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T15:26:53.555107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:26:53.555107Z digest=sha256:6378c5ce7ff3501674c455b86947193a809c31c38c805e779241dfb8bd456068

Observation ffdf64c0-a3e1-4fb0-8175-4e932802350c · outbound

This paper cites Bowick, Nikta Fakhri, M.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Bowick, Nikta Fakhri, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.142981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.559863Z digest=sha256:72a9e97ba0607c0e261a41266e7ac5f48e579b948b5378f3c5c9d0948f19b1c2

Observation 9198c09f-cc66-4c95-838b-cbc58761e8bb · outbound

This paper cites Lebowitz and Herbert Spohn.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Lebowitz and Herbert Spohn

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.127947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.564526Z digest=sha256:bed16c28859fed6ba5017738bb72fd96608337cd1f2c0a5c773fd24a6154dc50

Observation 360f2bdf-1aff-465e-9e3e-b050a2b04c4d · outbound

This paper cites Entropy production along a stochastic trajectory and an integral fluctuation theorem.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Entropy production along a stochastic trajectory and an integral fluctuation theorem

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.114666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.569226Z digest=sha256:e7828457469231c6094c2f0debb61c0a8b1cc1330e13083d27feeadf4de08641

Observation ee73bbca-79ab-4b39-821e-524fd96f51f3 · outbound

This paper cites Stochastic thermodynamics, fluctuation theorems, and molecular machines.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Stochastic thermodynamics, fluctuation theorems, and molecular machines

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.574547Z digest=sha256:cf36b4465878ad4653fdfb2b13f25f0fdf1f3374e7066e84d815256feb05cde8

Observation 7d0a9ff2-efbd-4570-8a7e-2a2ade4d455c · outbound

This paper cites Cates, Julien Tailleur, Paolo Visco, and Fr\' e d\' e ric Van Wijland.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Cates, Julien Tailleur, Paolo Visco, and Fr\' e d\' e ric Van Wijland

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.087510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.579340Z digest=sha256:9a52119c649ac73dfbada34f79bd1c5ac9e0557733b6e36617c98af0d7df414c

Observation 1f0fad1c-5acd-4748-946c-1937b358e27e · outbound

This paper cites an unresolved cited work.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:26:54.073649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.583904Z digest=sha256:fde165da431b7e111bc9c753a3087b5528318750a0eb018479d70985041f08b7

Observation 39865473-c2e6-490b-94f4-6275583c5b19 · outbound

This paper cites Phan, Robert H.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Phan, Robert H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.060815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.588361Z digest=sha256:33ee50321834cbc59da72a209939c6a7f985a42c92009a2f9b0c667618aba8a5

Observation d8243559-7162-4687-a606-03a84b88e149 · outbound

This paper cites Chaikin, and Dov Levine.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Chaikin, and Dov Levine

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.047312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.592427Z digest=sha256:c332725885e66d3ba2a05fd6856d906cc97659a6c4d8e7f58a1d792a064f14f3

Observation 3b52ac8b-4b32-439a-8def-de1d80f9a264 · outbound

This paper cites Boffi and Eric Vanden-Eijnden.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Boffi and Eric Vanden-Eijnden

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.032573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.596823Z digest=sha256:d0485fdacfdbef15869de6b4f0f021e92dd09a8b7db8fa5beec73570c0ef7ca4

Observation 64fbd271-c616-403b-9600-d5c19ddbf65f · outbound

This paper cites Boffi and Eric Vanden-Eijnden.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Boffi and Eric Vanden-Eijnden

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.019922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.601263Z digest=sha256:fb9cf070708a8f011cbb0d74a7c8340dc5a41b4a85bf27e382b6219709b44497

Observation e00b7230-1a0d-4056-bde1-4826a24da69b · outbound

This paper cites Empirical investigation of starling flocks: a benchmark study in collective animal behaviour.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Empirical investigation of starling flocks: a benchmark study in collective animal behaviour

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:54.007384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.605420Z digest=sha256:dadb85c398cebead09c32d8e44eda724bf4ab22b8f243436c25ce43308cd0976

Observation 348ac12f-b88b-4b71-9379-acafae639d91 · outbound

This paper cites Pine, and Paul M.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Pine, and Paul M

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.610004Z digest=sha256:b0437469fc6f32fa7c53541ba624f19eef6def8e22ad53c3e60f5592f346ba78

Observation 9430fd1f-1795-4cc5-9c64-79e72b363850 · outbound

This paper cites Flocks, herds, and schools: A quantitative theory of flocking.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Flocks, herds, and schools: A quantitative theory of flocking

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.980410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.614041Z digest=sha256:df8845fda1cb4da2ebf6a54a188c44f3ee29d39733d970cc02f3ec49b1c2d284

Observation 9c50cede-a975-46ea-98b9-3d824b7ed184 · outbound

This paper cites Hydrodynamics and phases of flocks.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Hydrodynamics and phases of flocks

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.967160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.617929Z digest=sha256:aa068bbb663544049046577726dcf01f792f223410058eb97b663c296acfebe5

Observation 74c19f57-66f8-41bf-82b3-70a7940d503c · outbound

This paper cites Long- Range Order in a Two - Dimensional Dynamical XY Model : How Birds Fly Together.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Long- Range Order in a Two - Dimensional Dynamical XY Model : How Birds Fly Together

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.953179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.621880Z digest=sha256:b004f9933976b0243ee869f9831c3c275a309d42f1bb72948981686bcd925a5d

Observation f7fc4099-96ab-4357-aee5-0b79b86e28e1 · outbound

This paper cites Novel Type of Phase Transition in a System of Self - Driven Particles.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Novel Type of Phase Transition in a System of Self - Driven Particles

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.626156Z digest=sha256:9f8071f50c14a8b4f329bce6d1a5a4821a60bf0ece93fba1710c54f29c4982cf

Observation 2e54b8c9-e594-4a46-bf55-a5e16b89ba94 · outbound

This paper cites Chaté, F.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Chaté, F

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.630580Z digest=sha256:072f19fbab535d0717b4ea62a3283d02ed799b758eb29ecb18c5a4661ba54c47

Observation 5a03614d-2d98-4679-b541-593906f953b4 · outbound

This paper cites an unresolved cited work.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:26:53.911663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fb4d0a5b-3baa-4746-9aed-b877918357f9 · outbound

This paper cites Manneville.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Manneville

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.897431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.639381Z digest=sha256:5d80abce42b42455b0c6df9f1d980e02fa5e20de4bc3c8863e7c49ef946b95e4

Observation 9ee0646d-72c3-46a2-9645-290247671d90 · outbound

This paper cites an unresolved cited work.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:26:53.883447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.643590Z digest=sha256:65a130fcfd7acc5d23837a74a3c4bba54dce3af19ff340f582d8af6edf70f6ff

Observation 74d3b396-5a9d-430a-8722-ea6d4e72debc · outbound

This paper cites Shivers, Irene Giardina, Thierry Mora, and Aleksandra Walczak.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Shivers, Irene Giardina, Thierry Mora, and Aleksandra Walczak

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.870153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.647653Z digest=sha256:52567ed79e6b678ac765f2dc0ba7f36bfd89b970930ae8b9616902e22bf851cc

Observation 750b8972-c865-42d9-9089-21dedeecd74b · outbound

This paper cites Fluctuation Relations for Diffusion Processes.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Fluctuation Relations for Diffusion Processes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.855328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.652368Z digest=sha256:aa22869512e8091cae38ba8ea00d2786f88dfddb3353969b58bccce4c7961fca

Observation 92122ee8-0508-4c02-a6d4-da1d935b240e · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Score-Based Generative Modeling through Stochastic Differential Equations

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-12T15:26:53.656905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:26:53.656905Z digest=sha256:1766055276cba3c5d7c87eea9b0ca697c9f1b842e5eb9bcd76cdab3f3a4daac6

Observation c2e14d3d-1750-48fd-af93-56e574754a71 · outbound

This paper cites Estimation of Non - Normalized Statistical Models by Score Matching.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Estimation of Non - Normalized Statistical Models by Score Matching

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.840874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.661807Z digest=sha256:eaef1f4e85206d0b722e728d098ead00074f62f84004098dc6a5e5cc3d739fc1

Observation b9ad1fa6-b78c-4d16-b4e6-53c66ffa0db8 · outbound

This paper cites an unresolved cited work.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:26:53.823609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.665821Z digest=sha256:56b0e5b43b2a6c3087274983a75c20f492be62577de0bdab076fd0fb184f59ce

Observation 9c1d3902-003c-415c-8b4a-fcfa81ec6448 · outbound

This paper cites Onsager and S.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Onsager and S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.809867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.669793Z digest=sha256:8795cc918d3d08053002d4830bc7c160fbd0b9734019f5fb2d51fcccd2c50387

Observation b2d3d305-3da7-41e5-a5e5-21db6700db12 · outbound

This paper cites Machlup and L.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Machlup and L

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.795232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.674827Z digest=sha256:dc6d7aff69f116fe49e246624d93008c1207d5bca751a9fa09a0966c20b695a0

Observation 479280b1-392b-41c4-820a-c9d6c3ea1b89 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Adam: A Method for Stochastic Optimization

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T15:26:53.678486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:26:53.678486Z digest=sha256:851ea245ec11e310b7d93bc859949c8fd2fc661f099babc1e1f9310459528968

Observation 4726b586-e28d-41b8-b599-d2a0fbdf355f · outbound

This paper cites Relational inductive biases, deep learning, and graph networks.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Relational inductive biases, deep learning, and graph networks

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-12T15:26:53.682776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:26:53.682776Z digest=sha256:dd9a0ff89803abb200bacce59d92653c789850f68e75409033fe1e15b66c71c3

Observation 724dab7b-d7bc-4121-942c-95524aee4b39 · outbound

This paper cites Intermittency and Clustering in a System of Self - Driven Particles.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Intermittency and Clustering in a System of Self - Driven Particles

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.779299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.687389Z digest=sha256:9721590dd3b88d0b79d8237f093218411cf4a2597c0e659c05132c58996490e9

Observation de3a2b09-ac65-4360-b2bf-2084f171bfe9 · outbound

This paper cites Interacting particle solutions of Fokker - Planck equations through gradient-log-density estimation.

Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking Interacting particle solutions of Fokker - Planck equations through gradient-log-density estimation

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:26:53.765275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:26:53.691346Z digest=sha256:c1773aefed6b3bb22f76b697400c8f605f51882a8c5a863f5dbe0804d81a2180

Pith citing papers

Observation 85861702-e6fb-49fc-8df6-89221ea8283e · inbound

Localizing entropy production along non-equilibrium trajectories cites this paper.

Localizing entropy production along non-equilibrium trajectories Model-free learning of probability flows: Elucidating the nonequilibrium dynamics of flocking

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-22T23:05:12.622153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T23:04:26.136775Z digest=sha256:f615f308bd518f638da28d448bb1ee5448059f97791bc584cd39417c69ea3cba