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Paper Citation Record · LEDGER

Autonomous Emergence of Hamiltonian in Deep Generative Models

As of 4 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2604.20821.

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

pith.paper-citation-record.v1
2604.20821 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T17:19:39.384277Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T06:53:15.498071Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T06:55:29.013653Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved8
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19cfea97-606b-4eab-adb6-36742ce240c9 · outbound

This paper cites Abramson, J.

Autonomous Emergence of Hamiltonian in Deep Generative Models Abramson, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.243136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 16cb4280-97df-4e9e-9255-0536ddf9ad66 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.222647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:8c3b4d88d9c8c078f8f03ecac5f03c3bc89da99234d9911e66db8ea551f9f4f4

Observation 2e0fbc97-ee3c-415e-b2bb-9d724704ff80 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.245344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 26081dd2-2fb2-42f8-ac64-ccb1afae17d8 · outbound

This paper cites Bahri, J.

Autonomous Emergence of Hamiltonian in Deep Generative Models Bahri, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.220844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:99cb09ebd7761d1efb4b55185caec7c8dd672ff6c7550ae386c0865cafb5f11f

Observation e3e887b1-1c50-40b8-be79-642bec8b71b6 · outbound

This paper cites Udrescu and M.

Autonomous Emergence of Hamiltonian in Deep Generative Models Udrescu and M

Reference 6

Resolution
verified exact
doi, observed 2026-05-19T17:22:41.724987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 0196ea22-044f-48e5-9dd0-81e44ee9fe1c · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.236548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:5cd1c3bb1aad1880a99cdbd4c925823c86639099bb94976d98e1efa1aa182553

Observation bb4ae85a-8ec0-4343-a5d2-257c7eb4cc26 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.217346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:f553ffdabe6e39c535fccf6b4ef873c63c260380a44504fe28ee4bfd2ef19d12

Observation a32e2241-569c-4163-9947-c95fb4b5a446 · outbound

This paper cites ACKLEY, G.

Autonomous Emergence of Hamiltonian in Deep Generative Models ACKLEY, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.234261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:e51555097ed33fb1c880ffb12642fa7f82598effa24f11166bbfcd3d8e1dd0fa

Observation 27757af7-ee4e-4d98-b8db-55320105c60c · outbound

This paper cites Hyv¨ arinen, Journal of Machine Learning Research6, 695 (2005).

Autonomous Emergence of Hamiltonian in Deep Generative Models Hyv¨ arinen, Journal of Machine Learning Research6, 695 (2005)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.232279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:e36233a7e90c8c185665ba5077c2c87f9775adfec7bd5d125d5b153940d6a964

Observation 0161f5b9-f39b-4837-a82d-fd45cc6136e8 · outbound

This paper cites Vincent, Neural Computation23, 1661–1674 (2011).

Autonomous Emergence of Hamiltonian in Deep Generative Models Vincent, Neural Computation23, 1661–1674 (2011)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.241045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation e660812a-476a-4efc-8e11-2c55142d5e62 · outbound

This paper cites Manca, S.

Autonomous Emergence of Hamiltonian in Deep Generative Models Manca, S

Reference 12

Resolution
malformed identifier
doi_truncated, observed 2026-05-19T17:22:41.722565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation fe15358a-aef1-4e9c-bb5d-4d708b7b269d · outbound

This paper cites De Bortoli, E.

Autonomous Emergence of Hamiltonian in Deep Generative Models De Bortoli, E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.230150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:ed170ae774f020e7aab385af9297ca8f8ab77ca2438f65ba06990b0f2973970e

Observation 4c8403a5-1da6-4607-8a4d-26bbb8111f55 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.219099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:9b38bbc780992905ca4e95fea0986f97468313bf7b322096f56ceb917c7c3ed3

Observation a1f2645e-6b87-44ed-9aa1-c0c011791882 · outbound

This paper cites Zaidi, M.

Autonomous Emergence of Hamiltonian in Deep Generative Models Zaidi, M

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:4a296b2a3aacbfb0cca494e87ca35407edaddecc88553c08478ec5a427a38d3b

Observation 27b41a8f-3438-43af-9931-7c0b26b5928b · outbound

This paper cites Holderrieth, Y.

Autonomous Emergence of Hamiltonian in Deep Generative Models Holderrieth, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.215402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation f95d5142-f9b9-41bd-89c3-342745e28bb0 · outbound

This paper cites Park, inThe Thirty-ninth Annual Conference on Neu- ral Information Processing Systems(2026).

Autonomous Emergence of Hamiltonian in Deep Generative Models Park, inThe Thirty-ninth Annual Conference on Neu- ral Information Processing Systems(2026)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.228244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:dc396cd216c5d85ff8a290439b855930be2556e01db3cef48c57f3a3069aeecd

Observation 5ba460e0-6634-4e70-9f16-695d16327837 · outbound

This paper cites Binder and A.

Autonomous Emergence of Hamiltonian in Deep Generative Models Binder and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.211102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:9ae1c9cb41f7a3308e31fc7b5faa2ae2ce4fc20ebb405619f4b8a5b8d87e07de

Observation d2784044-c133-4f14-b23c-a391ba8ef1f3 · outbound

This paper cites Bhattacharjee and S.-C.

Autonomous Emergence of Hamiltonian in Deep Generative Models Bhattacharjee and S.-C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.247593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:e24b885ea20c42f5c2035534f28dad545e1c4e5eaf59e7fa227d10b09ccf9a62

Observation 52616ac9-db39-4d08-8515-3f1fe9ba356f · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.212893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:42edaaaaba391b6d565bcb4dbb523ac61cb9c0ee1e1d8b9d0d2b37709cc94845

Observation e2cd4d95-4293-4536-8db2-adebfb443ab5 · outbound

This paper cites Villar, D.

Autonomous Emergence of Hamiltonian in Deep Generative Models Villar, D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.238815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:32a8f10129e50ffbe3f48dbddf83187fdf497d4c73cc3792d3cffcd8be1bd042

Observation 13ccca2c-f4ee-4447-ab17-8fc3ba0d88c0 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.224579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:6bc441b1a715f6b48a8d066aff6c7487adbbb06a2e93ed125ba61d5480a2b409

Observation 6c8987fb-f689-4c3b-b361-f9397de83c82 · outbound

This paper cites Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E.

Autonomous Emergence of Hamiltonian in Deep Generative Models Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E

Reference 23

Resolution
verified exact
doi, observed 2026-05-19T17:22:41.719963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:29c8daf4d6067cf20d43b667dffcd8b7b0a351102cf7a0fcee9411d4e8c2cd7e

Observation 54a13468-22d8-4c64-9553-03a252542c81 · outbound

This paper cites Hukushima and K.

Autonomous Emergence of Hamiltonian in Deep Generative Models Hukushima and K

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.250060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:6394ff6b0235ce5f378cf7220dfe03c46c40fa8fcd1be93cd572cbeefcd88eb9

Observation 5d524667-2810-47fa-9f7b-d6726934a5f6 · outbound

This paper cites an unresolved cited work.

Autonomous Emergence of Hamiltonian in Deep Generative Models Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-19T17:22:42.252219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:33c1ed614dc9c4f4b51c77922226e273a96795b75d897ee48965d0ed2027e6e1

Observation b461fe71-9a8d-4f81-8419-430e31b28dfd · outbound

This paper cites Creutz, Physical Review D36, 515–519 (1987).

Autonomous Emergence of Hamiltonian in Deep Generative Models Creutz, Physical Review D36, 515–519 (1987)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T17:22:42.254448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T17:19:39.384277Z digest=sha256:2740c9d47c41b7a4727b607e4d16c164e25b54b487745993b18f759e44a8a50b

Pith citing papers

Observation 2bbab654-b0df-4595-8b38-44a585199e91 · inbound

Unsupervised Thermodynamics of Molecular Diffusion Models: Action-Operator Semantics and Auditable Free-Energy Readout cites this paper.

Unsupervised Thermodynamics of Molecular Diffusion Models: Action-Operator Semantics and Auditable Free-Energy Readout Autonomous Emergence of Hamiltonian in Deep Generative Models

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-01T06:55:29.016195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-07-01T06:53:15.498071Z digest=sha256:19ab3439c4335cf43c9531ec0282ecc09931b0d831a313727b84dfc8f1a95cdd