Paper Citation Record · LEDGER

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces

As of 14 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2606.06412.

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

pith.paper-citation-record.v1
2606.06412 v1

Coverage vector

measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T22:42:16.293180Z

measured 52 of 52 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

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Reference resolution

52 of 52 outbound references displayed

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Outbound references

Observation 411c4ad0-15bb-4850-9086-74cc9bcf36cf · outbound

This paper cites Ichiki and M.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Ichiki and M

Reference 1

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Observation a996d9af-3c6e-4408-bd7d-89fea6771679 · outbound

This paper cites Ohzeki and A.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Ohzeki and A

Reference 2

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Observation 9cd58b81-ba38-459b-8632-babc2a58604c · outbound

This paper cites Ohzeki and A.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Ohzeki and A

Reference 3

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Observation 809094e4-66ef-4bc9-88d3-5f8ff4f1947f · outbound

This paper cites Rey-Bellet and K.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Rey-Bellet and K

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T22:42:16.293180Z

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Observation 2ccd70d1-a6bd-4417-b3fa-0dea17972801 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T22:42:16.293180Z

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Observation 304d5caf-813b-4d5d-b023-ce176261992e · outbound

This paper cites Stochastic dynamics without detailed balance condition connecting simple gradient method and Hamiltonian Monte Carlo.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Stochastic dynamics without detailed balance condition connecting simple gradient method and Hamiltonian Monte Carlo

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-02T16:27:09.269604Z

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Observation 7aca9553-644a-447e-82c4-160865b1086f · outbound

This paper cites Risken,The Fokker–Planck Equation: Methods of Solution and Applications(Springer, 1984).

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Risken,The Fokker–Planck Equation: Methods of Solution and Applications(Springer, 1984)

Reference 7

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Observation 337e7501-c873-4d64-be77-6d80d82b1b0e · outbound

This paper cites Witten, Supersymmetry and morse theory, Journal of Differential Geometry17, 661 (1982).

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Witten, Supersymmetry and morse theory, Journal of Differential Geometry17, 661 (1982)

Reference 8

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Observation 6d2c1be5-5abf-4e54-81a1-8f5fa5af064b · outbound

This paper cites Welling and Y.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Welling and Y

Reference 9

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Observation 76af44de-79c4-479f-bb8a-d1b4c2c43f6b · outbound

This paper cites Sato and H.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Sato and H

Reference 10

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Observation 292ad316-7325-4109-b546-e406e7db3223 · outbound

This paper cites Mandt, M.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Mandt, M

Reference 11

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Observation 7e57859e-b436-49ad-8038-1068b6026a4a · outbound

This paper cites Three Factors Influencing Minima in SGD.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Three Factors Influencing Minima in SGD

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:27:09.272174Z

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Observation 8fce237d-cc2f-4bbc-967e-eb640fd8dd1c · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 13

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Observation bebe6da2-15d1-4071-9a07-77e6825b6956 · outbound

This paper cites Eyring-Kramers law for Fokker-Planck type differential operators.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Eyring-Kramers law for Fokker-Planck type differential operators

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T16:27:09.274593Z

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Observation 054fd99a-5c5d-439d-a402-66f1baccd5d8 · outbound

This paper cites Yaida, Fluctuation–dissipation relations for stochastic gradient descent, inInternational Conference on Learning Representations(2019).

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Yaida, Fluctuation–dissipation relations for stochastic gradient descent, inInternational Conference on Learning Representations(2019)

Reference 15

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Observation 86e6484d-78f1-49d0-9269-437448adafe0 · outbound

This paper cites Mignacco and P.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Mignacco and P

Reference 16

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Observation 4ada907d-7ee1-4290-bade-6e357cb6c81c · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 17

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Observation 8924166a-cba0-4827-9292-bd9ad6ff0171 · outbound

This paper cites On Large Batch Training and Sharp Minima: A Fokker-Planck Perspective.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces On Large Batch Training and Sharp Minima: A Fokker-Planck Perspective

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-02T16:27:09.276933Z

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Observation fba53fd8-2397-4eea-95e8-444a7c2d176a · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T22:42:16.293180Z

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Observation dfcd096a-3411-4b21-8af3-0404864d4351 · outbound

This paper cites Geman and D.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Geman and D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T22:42:16.293180Z

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Observation 567aadb4-220f-4519-b2f9-01224b92c3dc · outbound

This paper cites Hajek, Cooling schedules for optimal annealing, Mathematics of Operations Research13, 311 (1988).

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Hajek, Cooling schedules for optimal annealing, Mathematics of Operations Research13, 311 (1988)

Reference 21

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Observation e772c3e8-39b9-4f00-93b3-7d61a31995dd · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 22

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Observation 92390371-8edf-4b70-9859-6f113773115f · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 23

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Observation 5e1e5c0d-9789-4f8f-81a3-f374077c8079 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 24

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Observation 72e95a21-5b2e-4307-a0c5-163e316fe714 · outbound

This paper cites Girolami and B.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Girolami and B

Reference 25

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Observation abfb163b-1cbe-48ea-ae80-5581096b5585 · outbound

This paper cites Patterson and Y.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Patterson and Y

Reference 26

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Observation e53c7202-5455-461e-9abb-8491d24be542 · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 27

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Observation 1d85e3ba-8080-43dd-9183-1b98c57c110a · outbound

This paper cites Ohzeki, Stochastic gradient method with accelerated stochastic dynamics, Journal of Physics: Conference Series699, 012019 (2016).

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Ohzeki, Stochastic gradient method with accelerated stochastic dynamics, Journal of Physics: Conference Series699, 012019 (2016)

Reference 28

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Observation 03647f77-0466-444a-a074-58daefce4a81 · outbound

This paper cites Loshchilov and F.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Loshchilov and F

Reference 29

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Observation 0ad7314d-f480-4704-b749-21f7033bbf16 · outbound

This paper cites Shazeer and M.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Shazeer and M

Reference 30

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Observation 23065f76-49d6-41ff-ae8e-b74256f84141 · outbound

This paper cites Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-02T16:27:09.266798Z

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Observation 43dce0c0-0821-4161-b207-043886c9d0d2 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 32

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Observation 2bdcd867-90a9-49dd-9771-fbaea8ff2850 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T22:42:16.293180Z

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Observation 96483bee-2e39-4757-a867-eb90f58c2971 · outbound

This paper cites An Empirical Model of Large-Batch Training.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces An Empirical Model of Large-Batch Training

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:27:09.261934Z

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Observation dcc3abe0-14d2-4677-8a84-739be9b82bbc · outbound

This paper cites Improving Generalization Performance by Switching from Adam to SGD.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Improving Generalization Performance by Switching from Adam to SGD

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:27:09.264447Z

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Observation 2bd7fc2c-67ab-4725-b8db-28f1ce3fe917 · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 36

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Observation dc85eb1a-528c-4c04-9a56-f86c32e4e701 · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 37

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Observation 4f7dc2a5-1651-4756-aa83-d7f5eb0395de · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 38

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Observation 74b60f82-dde9-4eca-91dd-5b20680bfe66 · outbound

This paper cites Cohen, S.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Cohen, S

Reference 39

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Observation 3b3d83fe-013e-49bc-8ac6-a4917fb8335a · outbound

This paper cites SGD at the Edge of Stability: The Stochastic Sharpness Gap.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces SGD at the Edge of Stability: The Stochastic Sharpness Gap

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:27:09.259494Z

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Observation 7091d32b-785c-44a1-b913-a55531b4d3bb · outbound

This paper cites Foret, A.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Foret, A

Reference 41

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Observation 87d2e900-0376-4a2e-8e28-6dd021121b5c · outbound

This paper cites Benamou and Y.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Benamou and Y

Reference 42

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Observation b6233dd8-2054-4b78-805a-09f155bef726 · outbound

This paper cites Jordan, D.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Jordan, D

Reference 43

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Observation 43bdb6d4-a911-449b-80cf-fc8cca7455b9 · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 44

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Observation a80f390a-402a-41e5-aff2-e37b672bc386 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 45

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Observation 61738f7b-9b71-4d7e-8dfa-0cc82b951289 · outbound

This paper cites Metropolis, A.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Metropolis, A

Reference 46

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Observation 4c8a5334-52fb-4c19-9ea5-82ba1295efc8 · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 47

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Observation e4865b65-c6da-460f-a587-a8126f5b2632 · outbound

This paper cites Duane, A.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Duane, A

Reference 48

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Observation ab7f2e83-938f-4611-87ef-3833ca248433 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 49

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Observation 06876016-e7a7-41de-bd1c-5b31a31b44a5 · outbound

This paper cites Bakry and M.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Bakry and M

Reference 50

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Observation 2f890d11-37fb-427d-bc12-57904b878590 · outbound

This paper cites an unresolved cited work.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 51

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Observation add7df96-42f3-47ff-9a2a-46567055e66a · outbound

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Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces Unresolved cited work

Reference 52

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Pith citing papers

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