Paper Citation Record · LEDGER

Perturbative Contrastive Physical Learning

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2606.09756.

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

pith.paper-citation-record.v1
2606.09756 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:28:48.592339Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

39 of 39 outbound references displayed

verified exact3
verified fuzzy0
unresolved35
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 202f63a9-7a7b-464b-b0aa-bd8b1164b36e · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d33e888-8994-420c-9328-05bdf012ac04 · outbound

This paper cites (a) Best Classification (100.0%) (b) Batch sizeN= 5,η= 0.1 FIG.

Perturbative Contrastive Physical Learning (a) Best Classification (100.0%) (b) Batch sizeN= 5,η= 0.1 FIG

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 210a08d6-f0a7-4377-828e-68179f133481 · outbound

This paper cites How does one compute gradients?.

Perturbative Contrastive Physical Learning How does one compute gradients?

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99da10cc-9a1a-4789-b8d8-3c352d66913e · outbound

This paper cites Hebb.The Organization of Behavior: A Neuropsychological Theory.

Perturbative Contrastive Physical Learning Hebb.The Organization of Behavior: A Neuropsychological Theory

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2808ccf-6917-4eab-afbe-533af5396c5c · outbound

This paper cites Abbott.Theoretical Neu- roscience: Computational and Mathematical Model- ing of Neural Systems.

Perturbative Contrastive Physical Learning Abbott.Theoretical Neu- roscience: Computational and Mathematical Model- ing of Neural Systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 692b7ffa-85bc-4e62-8f5a-55e8858137a4 · outbound

This paper cites Reid, Tanya Latty, Audrey Dussutour, and Madeleine Beekman.

Perturbative Contrastive Physical Learning Reid, Tanya Latty, Audrey Dussutour, and Madeleine Beekman

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 260fed12-81e0-4354-ad83-71a923675a4f · outbound

This paper cites MIT Press, 2016.

Perturbative Contrastive Physical Learning MIT Press, 2016

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a64d06e-558b-4972-a1e6-90796b824c0b · outbound

This paper cites Equilibrium propagation: Bridging the gap between energy- based models and backpropagation.Frontiers in Computational Neuroscience, Volume 11 - 2017, 2017.

Perturbative Contrastive Physical Learning Equilibrium propagation: Bridging the gap between energy- based models and backpropagation.Frontiers in Computational Neuroscience, Volume 11 - 2017, 2017

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 458c4305-632c-4581-aea4-b4cf6f853cec · outbound

This paper cites Wright, Tatsuhiro Onodera, Martin M.

Perturbative Contrastive Physical Learning Wright, Tatsuhiro Onodera, Martin M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39411544-24de-4808-be05-cd2f2e0fce55 · outbound

This paper cites Learning without neurons in physical systems.Annual Re- view of Condensed Matter Physics, 14(Volume 14, 2023):417–441, 2023.

Perturbative Contrastive Physical Learning Learning without neurons in physical systems.Annual Re- view of Condensed Matter Physics, 14(Volume 14, 2023):417–441, 2023

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 656d9e9a-06e8-409d-a4fa-494058021c71 · outbound

This paper cites Wright, Peter L.

Perturbative Contrastive Physical Learning Wright, Peter L

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25413071-ae1c-47ea-a3fb-79943412e22b · outbound

This paper cites The hardware is the soft- ware.Neuron, 112(2):180–183, 2024.

Perturbative Contrastive Physical Learning The hardware is the soft- ware.Neuron, 112(2):180–183, 2024

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68c1e823-8c1b-4b05-b129-dc60f9fe134d · outbound

This paper cites A deep learning theory for neural networks grounded in physics.

Perturbative Contrastive Physical Learning A deep learning theory for neural networks grounded in physics

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:07:28.292684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3fc1e686-db6c-402c-9509-4a7b1788408c · outbound

This paper cites Rocks, and Andrea J.

Perturbative Contrastive Physical Learning Rocks, and Andrea J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2f607e5-26da-4f43-ab52-55daa5364eea · outbound

This paper cites Liu, and Vijay Balasubramanian.

Perturbative Contrastive Physical Learning Liu, and Vijay Balasubramanian

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ae5a790-bb94-4f92-b2e3-a3071e92fb23 · outbound

This paper cites Liu, and Douglas J.

Perturbative Contrastive Physical Learning Liu, and Douglas J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9eb75d1-c289-41e8-9179-6a6ccad21068 · outbound

This paper cites Altman, Menachem Stern, Andrea J.

Perturbative Contrastive Physical Learning Altman, Menachem Stern, Andrea J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

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Observation 9082172b-a01f-4dff-9d45-92754194bae5 · outbound

This paper cites Beyer, Menachem Stern, Andrea J.

Perturbative Contrastive Physical Learning Beyer, Menachem Stern, Andrea J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d0c9ca1-3b41-440a-a107-f85db1f67129 · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2936a51-8200-4930-90a6-ec546f2942db · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6af49165-1197-444e-9a6e-f9f28a8f2f63 · outbound

This paper cites Falk, Adam T.

Perturbative Contrastive Physical Learning Falk, Adam T

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33d34650-3262-49c5-9550-d3427daf3e5b · outbound

This paper cites Wanjura and Florian Marquardt.

Perturbative Contrastive Physical Learning Wanjura and Florian Marquardt

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91c5090e-f7fb-4ca0-9c18-999cf808acda · outbound

This paper cites Menicucci, Timothy C.

Perturbative Contrastive Physical Learning Menicucci, Timothy C

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fca7ef7-741e-4442-825a-20b42ecde21f · outbound

This paper cites Menicucci, Steven T.

Perturbative Contrastive Physical Learning Menicucci, Steven T

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b29700a-9fd3-4014-9573-cf9fd5c1c2bc · outbound

This paper cites Continuous-variable quantum com- puting in the quantum optical frequency comb.

Perturbative Contrastive Physical Learning Continuous-variable quantum com- puting in the quantum optical frequency comb

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36db2e8f-81f1-4a17-8770-f308a2ab2fa0 · outbound

This paper cites Bromley, Juan Miguel Arrazola, Maria Schuld, Nicol´ as Quesada, and Seth Lloyd.

Perturbative Contrastive Physical Learning Bromley, Juan Miguel Arrazola, Maria Schuld, Nicol´ as Quesada, and Seth Lloyd

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4984cbc2-7d46-497d-ae8b-c671d7224952 · outbound

This paper cites Evaluating ana- lytic gradients on quantum hardware.Physical Re- view A, 99:032331, 2019.

Perturbative Contrastive Physical Learning Evaluating ana- lytic gradients on quantum hardware.Physical Re- view A, 99:032331, 2019

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5691ea87-c18b-48dc-8bc2-d7c3ee385378 · outbound

This paper cites Difference target propagation.

Perturbative Contrastive Physical Learning Difference target propagation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6023cb2a-1075-4a0d-b584-e1452574d17e · outbound

This paper cites Training all- mechanical neural networks for task learning through in situ backpropagation.Nature Commu- nications, 15(1):10528, 2024.

Perturbative Contrastive Physical Learning Training all- mechanical neural networks for task learning through in situ backpropagation.Nature Commu- nications, 15(1):10528, 2024

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

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Unavailable: canonical work link unavailable.

Observation 61da3e5c-fd45-4a6e-a1b5-745cd5a1f13d · outbound

This paper cites Performance evaluation for class center- based missing data imputation algorithm.

Perturbative Contrastive Physical Learning Performance evaluation for class center- based missing data imputation algorithm

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fa57173-e39a-48a1-a94c-52ef0d4cd747 · outbound

This paper cites Quantum Equilibrium Propagation: Gradient-Descent Training of Quantum Systems.

Perturbative Contrastive Physical Learning Quantum Equilibrium Propagation: Gradient-Descent Training of Quantum Systems

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:07:28.295541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f11da60c-9be3-4b7f-ae90-b1277c5516ba · outbound

This paper cites Training precise stress patterns.Soft Matter, 19:2120–2126, 2023.

Perturbative Contrastive Physical Learning Training precise stress patterns.Soft Matter, 19:2120–2126, 2023

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8144e344-bdf0-49ef-ad38-06a167236a59 · outbound

This paper cites Training cell stress patterns in 3D cellular packings.

Perturbative Contrastive Physical Learning Training cell stress patterns in 3D cellular packings

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-07-03T00:07:28.276463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa4b50c1-730f-4070-a83b-6e3ec028f70c · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

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Observation 9bac33e6-114a-4744-ad52-4a049bb1624d · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9772965-26da-4b45-81d3-2ee4a5f23f0a · outbound

This paper cites Bromley, Juan Miguel Arrazola, Maria Schuld, Nicol´ as Quesada, and Seth Lloyd.

Perturbative Contrastive Physical Learning Bromley, Juan Miguel Arrazola, Maria Schuld, Nicol´ as Quesada, and Seth Lloyd

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69843e92-4fdb-44f4-b829-db9d58628ce2 · outbound

This paper cites Hybrid quantum-classical learning of nonlinear entanglement witnesses via continuous- variable quantum neural networks, 2025.

Perturbative Contrastive Physical Learning Hybrid quantum-classical learning of nonlinear entanglement witnesses via continuous- variable quantum neural networks, 2025

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

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Observation 349a4708-1eeb-4c09-9086-5fa0c071de88 · outbound

This paper cites Time-series forecasting using contin- uous variables-based quantum neural networks.

Perturbative Contrastive Physical Learning Time-series forecasting using contin- uous variables-based quantum neural networks

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T17:28:48.592339Z

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Unavailable: canonical work link unavailable.

Observation 3618be76-ac27-4c40-ae3e-99eb23bc21d6 · outbound

This paper cites an unresolved cited work.

Perturbative Contrastive Physical Learning Unresolved cited work

Reference 40

Resolution: malformed identifier; arxiv_id, observed 2026-07-03T00:07:28.279480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.