Paper Citation Record · LEDGER

Local Learning Rules for Out-of-Equilibrium Physical Generative Models

As of 22 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 4 inbound Pith citation observations for arXiv:2506.19136.

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

pith.paper-citation-record.v1
2506.19136 v4

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:44:11.114673Z

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One-hop event checks from named stored sources.

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:46:05.899468Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:26:37.736106Z

Reference resolution

58 of 58 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 026206c6-febb-44b3-b38d-e09d80e0c63b · outbound

This paper cites Jaeger, B.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Jaeger, B

Reference 1

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Observation c43c3b60-471d-4924-adf8-d7d2c13040af · outbound

This paper cites Yanagimoto, B.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Yanagimoto, B

Reference 2

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Observation 010447e3-2190-445e-ba59-94e71f3b8433 · outbound

This paper cites Finocchio, J.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Finocchio, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:12.082704Z

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Observation bad7549c-6667-4eb3-a6f9-926a12c5fc0d · outbound

This paper cites Melanson, M.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Melanson, M

Reference 4

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Observation 8fd6fd4b-5ebd-483d-9796-56c228f417f3 · outbound

This paper cites Aifer, K.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Aifer, K

Reference 5

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Observation 27d58f38-021d-465e-819b-c678b26f7d3e · outbound

This paper cites Duffield, M.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Duffield, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:12.038519Z

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Observation 81d18db9-7f55-4df6-a112-f4a681afb2fb · outbound

This paper cites Lipka-Bartosik, K.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Lipka-Bartosik, K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:12.024062Z

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Observation 69319bb3-da68-4695-b788-0b0b0bcf2d9d · outbound

This paper cites Anderson, S.-Y.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Anderson, S.-Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:12.009350Z

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Observation 4dbd60b7-22b3-4623-a3a2-55e2101ae388 · outbound

This paper cites Yildirim, N.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Yildirim, N

Reference 9

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Observation c7b142f7-3ccc-4d07-bea7-53b092b1adcc · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 10

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Observation cf1a12a8-05ef-463a-87cd-a2994846bc1c · outbound

This paper cites Nonlinear Computation with Linear Optics via Source-Position Encoding.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Nonlinear Computation with Linear Optics via Source-Position Encoding

Reference 11

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Observation 3444725f-6b00-406f-9d7f-eabf6c920fec · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 12

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Observation c63af9f3-fa6b-430e-8e08-11b19d9c024b · outbound

This paper cites Nakajima, H.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Nakajima, H

Reference 13

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Observation 72e3f657-9148-472f-bef5-74d3da99b089 · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 14

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Observation 00007d62-90fe-4b02-9b96-e2c86b6ef35c · outbound

This paper cites Hebb, The organization of behavior (1949).

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Hebb, The organization of behavior (1949)

Reference 15

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Observation b32507a8-065a-41c6-899d-91a9f9de0198 · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 16

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Observation 636a3c43-6944-40b0-a4b7-73efeab0e29f · outbound

This paper cites Towards Biologically Plausible Deep Learning.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Towards Biologically Plausible Deep Learning

Reference 17

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Observation f37f4563-91b6-41ba-bb1d-384878769af4 · outbound

This paper cites Training of Physical Neural Networks.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Training of Physical Neural Networks

Reference 18

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Observation c1b02f0b-44e4-4733-b27e-61030929acbe · outbound

This paper cites Stern and A.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Stern and A

Reference 19

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Observation c1299c59-fd7c-48d2-8913-c526dd76a5c3 · outbound

This paper cites Hexner, A.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Hexner, A

Reference 20

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Observation ce66f7d3-0156-4118-b215-93144c54b368 · outbound

This paper cites Scellier and Y.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Scellier and Y

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:11.891153Z

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Observation 34456e01-a4dd-42a1-9c4d-caf8af1a5aa0 · outbound

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 22

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Observation 04deb521-e53f-434f-b0e8-474330ec783c · outbound

This paper cites Stern, D.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Stern, D

Reference 23

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Observation e3d74900-2379-4ef1-a542-f9c180ed2e44 · outbound

This paper cites Equilibrium Propagation for Dissipative Dynamics.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Equilibrium Propagation for Dissipative Dynamics

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:44:11.339936Z

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Observation f9dab257-b5f5-47b7-a9d4-d083febdb867 · outbound

This paper cites Lopez-Pastor and F.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Lopez-Pastor and F

Reference 25

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Observation 30351680-1d3f-4009-987b-e64588cb5d74 · outbound

This paper cites de Bos and M.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models de Bos and M

Reference 26

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Observation d3ec365f-08b0-422d-b54c-4e422d6bac40 · outbound

This paper cites Hexner, Training precise stress patterns, Soft Matter 19, 2120 (2023).

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Hexner, Training precise stress patterns, Soft Matter 19, 2120 (2023)

Reference 27

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Observation ceb59e19-fa5b-4b20-a194-9f4f7846a7cf · outbound

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 28

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Observation 6b19a3f3-2d2b-4c14-91db-41290038d508 · outbound

This paper cites Laydevant, P.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Laydevant, P

Reference 29

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Observation ce638e63-a2d6-4c9a-8303-de4ee2e365f3 · outbound

This paper cites Dillavou, M.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Dillavou, M

Reference 30

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Observation c91c03ee-8fe0-4d05-ae4b-e70d746bef30 · outbound

This paper cites Dillavou, B.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Dillavou, B

Reference 31

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Observation ffc963de-44ab-4041-946b-77718089b621 · outbound

This paper cites Laydevant, D.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Laydevant, D

Reference 32

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Observation cbe64554-4421-476d-8e7a-c1e4f6f1d941 · outbound

This paper cites Niazi, S.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Niazi, S

Reference 33

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Observation 0203ec24-f0ce-46b0-884e-5c33bcf30341 · outbound

This paper cites Ernoult, J.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Ernoult, J

Reference 34

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Observation 7b82ff5f-6f60-4d7c-bf07-4610880ddb29 · outbound

This paper cites Kaiser, W.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Kaiser, W

Reference 35

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Reference 36

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Reference 37

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Observation 7c2436fd-04d3-4462-81a7-011959261524 · outbound

This paper cites Baldi and F.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Baldi and F

Reference 38

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Observation fe7f4309-85ba-488e-85af-bf228332d527 · outbound

This paper cites Hyv¨ arinen, Estimation of non-normalized statistical models by score matching, Journal of Machine Learning Research 6, 695 (2005).

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Hyv¨ arinen, Estimation of non-normalized statistical models by score matching, Journal of Machine Learning Research 6, 695 (2005)

Reference 39

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Observation e0852963-e28a-4704-9a3e-8812ec3b39b5 · outbound

This paper cites Song and S.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Song and S

Reference 40

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Observation b9eb3947-c7bb-48c0-9696-a07514041493 · outbound

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

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Score-Based Generative Modeling through Stochastic Differential Equations

Reference 41

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Observation 03950e30-07a0-4357-9704-b16347bd1e6b · outbound

This paper cites Score-Based Generative Modeling with Critically-Damped Langevin Diffusion.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Score-Based Generative Modeling with Critically-Damped Langevin Diffusion

Reference 42

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Observation b3986281-95bf-490d-b44e-a10d1dc0e64e · outbound

This paper cites Saharia, W.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Saharia, W

Reference 43

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Observation 8508f429-c4f9-4f57-97fa-83c380554b10 · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 44

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 45

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Observation 0180f5e1-c9a0-42ed-8e32-bc655bd5d768 · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

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Observation 1c3e5827-efdd-4296-984e-981c8eaf1234 · outbound

This paper cites Salakhutdinov and H.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Salakhutdinov and H

Reference 47

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Observation d4941528-e240-4790-9501-3c01ff71dcab · outbound

This paper cites an unresolved cited work.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 48

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Observation 3a14590a-35b4-4e88-aa98-ebb4dbfcf450 · outbound

This paper cites Flow Matching for Generative Modeling.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Flow Matching for Generative Modeling

Reference 49

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 50

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Observation be85ba0e-3c62-4399-8edb-a3c5321f8241 · outbound

This paper cites Vempala and A.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Vempala and A

Reference 51

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Observation 0321f522-108d-4d8d-a7f4-cc43c4503dab · outbound

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 52

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Observation d8063951-93ab-460d-808b-464ee4d0ea1b · outbound

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Local Learning Rules for Out-of-Equilibrium Physical Generative Models Unresolved cited work

Reference 53

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Observation 701cce59-51dd-4f85-baa4-52ddc99c9a03 · outbound

This paper cites Serra-Garcia, M.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Serra-Garcia, M

Reference 54

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Observation dd725245-6e75-4269-a387-ffbdf57a0389 · outbound

This paper cites Serra-Garcia, A.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Serra-Garcia, A

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:11.508176Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0f624971-1142-4f66-9fbe-836db0f1de52 · outbound

This paper cites Hyvarinen, Connections between score matching, con- trastive divergence, and pseudolikelihood for continuous- valued variables, IEEE Transactions on neural networks 18, 1529 (2007).

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Hyvarinen, Connections between score matching, con- trastive divergence, and pseudolikelihood for continuous- valued variables, IEEE Transactions on neural networks 18, 1529 (2007)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:11.493010Z

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Observation 41815aff-e7fd-4506-9e5f-ebd8bfd417e4 · outbound

This paper cites Vahdat, K.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models Vahdat, K

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:44:11.477358Z

Source-reported events for the cited work

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Observation 08fc5261-a3af-4061-9e5a-7cce98455938 · outbound

This paper cites An analytic theory of creativity in convolutional diffusion models.

Local Learning Rules for Out-of-Equilibrium Physical Generative Models An analytic theory of creativity in convolutional diffusion models

Reference 58

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Pith citing papers

Observation 20d7e591-64f2-402c-988a-1ef25d441c31 · inbound

Solving the compute crisis with physics-based ASICs cites this paper.

Solving the compute crisis with physics-based ASICs Local Learning Rules for Out-of-Equilibrium Physical Generative Models

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T17:33:54.525630Z

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Observation d6c8a088-3920-4a37-9f11-dd89098fb6a3 · inbound

Embodying computation in nonlinear perturbative metamaterials cites this paper.

Embodying computation in nonlinear perturbative metamaterials Local Learning Rules for Out-of-Equilibrium Physical Generative Models

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:26:37.739482Z

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Observation 55029184-901b-4197-8206-42c0d4ec0ab4 · inbound

A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing cites this paper.

A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing Local Learning Rules for Out-of-Equilibrium Physical Generative Models

Reference 144

Resolution: unresolved; no resolver link, observed 2026-08-01T21:12:18.464627Z

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Observation bde93477-ce26-4af7-85a3-b7bcfff8c27f · inbound

Unifying Physical Backpropagation cites this paper.

Unifying Physical Backpropagation Local Learning Rules for Out-of-Equilibrium Physical Generative Models

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-16T00:46:05.899468Z

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