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Paper Citation Record · LEDGER

Learning long range dependencies through time reversal symmetry breaking

As of 19 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 3 inbound Pith citation observations for arXiv:2506.05259.

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

pith.paper-citation-record.v1
2506.05259 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:46.598779Z

measured 81 of 81 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:46:05.805154Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T09:34:46.796448Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 281017e3-dabd-4764-9d1e-201deee15183 · outbound

This paper cites Resurrecting recurrent neural networks for long sequences.

Learning long range dependencies through time reversal symmetry breaking Resurrecting recurrent neural networks for long sequences

Reference 1

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Observation 4fe2e771-77e7-471f-82d7-93ef7277e1a7 · outbound

This paper cites Combining recurrent, convolutional, and continuous-time models with linear state space layers.

Learning long range dependencies through time reversal symmetry breaking Combining recurrent, convolutional, and continuous-time models with linear state space layers

Reference 2

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Observation 77222ca7-a725-41f9-963d-a4c7a120755c · outbound

This paper cites Efficiently Modeling Long Sequences with Structured State Spaces.

Learning long range dependencies through time reversal symmetry breaking Efficiently Modeling Long Sequences with Structured State Spaces

Reference 3

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Observation c5f9d62e-e734-43f0-9e65-65761888c7d6 · outbound

This paper cites Diagonal state spaces are as effective as structured state spaces.

Learning long range dependencies through time reversal symmetry breaking Diagonal state spaces are as effective as structured state spaces

Reference 4

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Observation ca711b2b-9a94-42e7-bf9b-834dc54f1ba9 · outbound

This paper cites Simplified State Space Layers for Sequence Modeling.

Learning long range dependencies through time reversal symmetry breaking Simplified State Space Layers for Sequence Modeling

Reference 5

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Observation 375b8519-85d7-4019-8d89-67609bff4387 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

Learning long range dependencies through time reversal symmetry breaking Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 6

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Observation 2c5b9417-15a3-490d-9b3e-11773de8c831 · outbound

This paper cites The hardware lottery.

Learning long range dependencies through time reversal symmetry breaking The hardware lottery

Reference 7

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Observation 305936de-fd35-4fdc-9280-c3a4c957c0c9 · outbound

This paper cites Attention is all you need.

Learning long range dependencies through time reversal symmetry breaking Attention is all you need

Reference 8

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Observation ab12caa5-7c72-45b8-a0cc-e3f2656e5684 · outbound

This paper cites The hardware is the software.

Learning long range dependencies through time reversal symmetry breaking The hardware is the software

Reference 9

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Observation 3e64e34f-0179-4997-88d2-f276d2ceea55 · outbound

This paper cites Self-learning machines based on hamiltonian echo backpropagation.

Learning long range dependencies through time reversal symmetry breaking Self-learning machines based on hamiltonian echo backpropagation

Reference 10

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Observation 6f210341-9002-468e-867e-b4f4be73a5e9 · outbound

This paper cites Training of Physical Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Training of Physical Neural Networks

Reference 11

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Observation 29d065fb-c8a9-47ba-8010-71d67d6711be · outbound

This paper cites Automatic differentiation in machine learning: a survey.

Learning long range dependencies through time reversal symmetry breaking Automatic differentiation in machine learning: a survey

Reference 12

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Observation 2a227184-a792-47e0-91b8-17254905c8f5 · outbound

This paper cites A learning algorithm for continually running fully recurrent neural networks.

Learning long range dependencies through time reversal symmetry breaking A learning algorithm for continually running fully recurrent neural networks

Reference 13

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Observation c79d7f24-1a6a-4fd4-88a9-9045672be392 · outbound

This paper cites Online learning of long-range dependencies.

Learning long range dependencies through time reversal symmetry breaking Online learning of long-range dependencies

Reference 14

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Observation 3233fcfa-c10b-43a5-9d71-ed0d74499c31 · outbound

This paper cites Unbiased Online Recurrent Optimization.

Learning long range dependencies through time reversal symmetry breaking Unbiased Online Recurrent Optimization

Reference 15

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Observation e4b0d576-1c58-4bfb-98ab-13a09bd9c4d7 · outbound

This paper cites A solution to the learning dilemma for recurrent networks of spiking neurons.

Learning long range dependencies through time reversal symmetry breaking A solution to the learning dilemma for recurrent networks of spiking neurons

Reference 16

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Observation aecb07af-5b3d-418e-b5f9-6ff14d2e7e82 · outbound

This paper cites A Truly Sparse and General Implementation of Gradient-Based Synaptic Plasticity.

Learning long range dependencies through time reversal symmetry breaking A Truly Sparse and General Implementation of Gradient-Based Synaptic Plasticity

Reference 17

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Observation 048b5a2c-3ef8-4569-b034-65878233ad6f · outbound

This paper cites Accelerating stochastic gradient descent using predictive variance reduction.

Learning long range dependencies through time reversal symmetry breaking Accelerating stochastic gradient descent using predictive variance reduction

Reference 18

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Observation dfb8ff2f-0fb7-438e-b644-381b727db9d2 · outbound

This paper cites Stochastic Subspace Descent.

Learning long range dependencies through time reversal symmetry breaking Stochastic Subspace Descent

Reference 19

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Observation af2c1023-f5cb-4751-a34d-5f5f6037e13a · outbound

This paper cites Multivariate stochastic approximation using a simultaneous perturbation gradient approximation.

Learning long range dependencies through time reversal symmetry breaking Multivariate stochastic approximation using a simultaneous perturbation gradient approximation

Reference 20

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Observation 8f07c399-256d-4e03-9f07-bf007d380599 · outbound

This paper cites Model of birdsong learning based on gradient estimation by dynamic perturbation of neural conductances.

Learning long range dependencies through time reversal symmetry breaking Model of birdsong learning based on gradient estimation by dynamic perturbation of neural conductances

Reference 21

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Observation a7db0ae1-bb54-43e8-9980-2cfe86bcbe96 · outbound

This paper cites Scaling Forward Gradient With Local Losses.

Learning long range dependencies through time reversal symmetry breaking Scaling Forward Gradient With Local Losses

Reference 22

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Observation f4503e48-6ecd-4e1b-b4aa-0a3780f6d05e · outbound

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Learning long range dependencies through time reversal symmetry breaking Learning by directional gradient descent

Reference 23

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Observation b4c84264-0dbf-4095-8e30-e9b4393c0515 · outbound

This paper cites Can forward gradient match backpropagation? In International Conference on Machine Learning, pages 10249–10264.

Learning long range dependencies through time reversal symmetry breaking Can forward gradient match backpropagation? In International Conference on Machine Learning, pages 10249–10264

Reference 24

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Observation c48a6307-d456-4c77-9238-99007baa7320 · outbound

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Learning long range dependencies through time reversal symmetry breaking Fine-tuning language models with just forward passes

Reference 25

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Observation 9eca4ab4-110c-47c1-a2bd-f301f4ad1e45 · outbound

This paper cites A cookbook for hardware-friendly implicit learning on static data.

Learning long range dependencies through time reversal symmetry breaking A cookbook for hardware-friendly implicit learning on static data

Reference 26

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Observation 6cba4313-f33e-4cf9-bf95-d7867a643109 · outbound

This paper cites Equilibrium propagation: Bridging the gap between energy-based models and backpropagation.

Learning long range dependencies through time reversal symmetry breaking Equilibrium propagation: Bridging the gap between energy-based models and backpropagation

Reference 27

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Observation b04d74f9-292d-48c4-b345-830fb5531cb0 · outbound

This paper cites Mathematical theory of optimal processes.

Learning long range dependencies through time reversal symmetry breaking Mathematical theory of optimal processes

Reference 28

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Observation 26e7acba-4e17-4ebe-9966-ea6863428590 · outbound

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Learning long range dependencies through time reversal symmetry breaking Oscillatory State-Space Models

Reference 29

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Observation 8a59e09c-57e0-4faf-be0d-1bb54f72f5ab · outbound

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Learning long range dependencies through time reversal symmetry breaking Unicornn: A recurrent model for learning very long time dependencies

Reference 30

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Observation d626989b-5aa5-4faf-87ce-b2eb80003a8c · outbound

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Learning long range dependencies through time reversal symmetry breaking Neural ordinary differential equations

Reference 31

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Observation b51d4256-1ee7-40d6-8339-a5bd482a0644 · outbound

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Learning long range dependencies through time reversal symmetry breaking The Elements of Differentiable Programming

Reference 32

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Observation 822c1b56-b813-4841-8969-fac028c9be71 · outbound

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Learning long range dependencies through time reversal symmetry breaking Numerical methods for ordinary differential equations

Reference 33

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Observation 9eea6805-7850-4c88-8220-a3237ee893e0 · outbound

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Learning long range dependencies through time reversal symmetry breaking Log neural controlled differential equations: The lie brackets make a difference

Reference 34

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Observation 829825ed-2a28-4011-82a7-1250efbe0952 · outbound

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Learning long range dependencies through time reversal symmetry breaking The UEA multivariate time series classification archive, 2018

Reference 35

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Observation 9c115af8-623e-43c2-accf-df8200eddda5 · outbound

This paper cites Deep ppg: Large-scale heart rate estimation with convolutional neural networks.

Learning long range dependencies through time reversal symmetry breaking Deep ppg: Large-scale heart rate estimation with convolutional neural networks

Reference 36

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Observation ce341d79-4494-4c35-8141-e5422b535a07 · outbound

This paper cites Scaling equilibrium propagation to deep convnets by drastically reducing its gradient estimator bias.

Learning long range dependencies through time reversal symmetry breaking Scaling equilibrium propagation to deep convnets by drastically reducing its gradient estimator bias

Reference 37

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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.

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Observation 8b740734-ad56-408a-a945-5585411066b5 · outbound

This paper cites Symplectic Recurrent Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Symplectic Recurrent Neural Networks

Reference 38

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Unavailable: canonical work link unavailable.

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Observation 87bb92c4-1814-41d6-9bc9-a04042e6453e · outbound

This paper cites Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019.

Learning long range dependencies through time reversal symmetry breaking Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019

Reference 39

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unresolved
no resolver link, observed 2026-08-07T10:29:46.459786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.459786Z digest=sha256:6695011775b1d9324d47b27807f74ca624ed2a3046b924ec3ca2d9fb525e54ce

Observation 246a17f6-32de-436f-bd24-25774f7a07d9 · outbound

This paper cites Lagrangian Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Lagrangian Neural Networks

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.463558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.463558Z digest=sha256:5e5a58ee5a16ad41199765ca87be84e43ff146890cd6f8776775ac3cbd171247

Observation 4b987e41-7265-481e-bf90-4022177d76e8 · outbound

This paper cites Hamiltonian Generative Networks.

Learning long range dependencies through time reversal symmetry breaking Hamiltonian Generative Networks

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.467599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.467599Z digest=sha256:68323da965913b8f530fb7492339b5db105ad1081b3856d4717faee9ba743a0c

Observation 7fc416e9-53a5-4c0b-9637-6451a319a608 · outbound

This paper cites Hybrid monte carlo.

Learning long range dependencies through time reversal symmetry breaking Hybrid monte carlo

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.471712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.471712Z digest=sha256:481675cbbc6bf9de45a9ac82c03298f8a433e49b580bcfce11800080448c7738

Observation a1a24142-14a6-45e2-8852-f290c459249b · outbound

This paper cites Mcmc using hamiltonian dynamics.

Learning long range dependencies through time reversal symmetry breaking Mcmc using hamiltonian dynamics

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.475913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.475913Z digest=sha256:24e237a473e29cda18d3468d96eaf8f9642ae7ae5953defff7dd24706df96b29

Observation 8ae4701e-9f1d-44f1-b13a-45fae1d4e852 · outbound

This paper cites Magnetic hamiltonian monte carlo.

Learning long range dependencies through time reversal symmetry breaking Magnetic hamiltonian monte carlo

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.177908Z

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.

source=pdf_text observed=2026-08-07T10:29:46.478945Z digest=sha256:3ce68ec76d6b3cdfed5aa10ee0780cbd0001984cb0e45ba528ddfb431c04a853

Observation d85bf66d-0a09-4479-8e73-216c9c9f545d · outbound

This paper cites Memory-Efficient Optimization with Factorized Hamiltonian Descent.

Learning long range dependencies through time reversal symmetry breaking Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:29:46.732188Z

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.

source=pdf_text observed=2026-08-07T10:29:46.482638Z digest=sha256:54db3cdc85753a6f84e0f2e54ab28d833161528031f0b7f66a577d67f2be3a5b

Observation d804dd90-62f2-4172-9334-cf94bde76e5f · outbound

This paper cites Supervised learning in physical networks: From machine learning to learning machines.

Learning long range dependencies through time reversal symmetry breaking Supervised learning in physical networks: From machine learning to learning machines

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.168912Z

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.

source=pdf_text observed=2026-08-07T10:29:46.485886Z digest=sha256:41cf7ccede45b7027f6feb5d9f5c67cf8ff13f3513bb8b22eff089e51cefdca0

Observation 1ba138ae-54b9-4f85-ac58-417a9863db92 · outbound

This paper cites Holomorphic equilibrium propagation computes exact gradients through finite size oscillations.

Learning long range dependencies through time reversal symmetry breaking Holomorphic equilibrium propagation computes exact gradients through finite size oscillations

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.159805Z

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.

source=pdf_text observed=2026-08-07T10:29:46.488807Z digest=sha256:25366ecba36167ce1dc2b882b93604c1d15b0a5bf9bd070cebf8e5cc69bd6738

Observation 992e0393-bc65-4d1c-879a-65e1e12a9527 · outbound

This paper cites Energy-based learning algorithms for analog computing: a comparative study.

Learning long range dependencies through time reversal symmetry breaking Energy-based learning algorithms for analog computing: a comparative study

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.150029Z

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.

source=pdf_text observed=2026-08-07T10:29:46.491875Z digest=sha256:e62b3f2bae5275a4ecd5fd538884fd01c6b5aa0af439373fa8cc4ddefd27fb6e

Observation 21704beb-ebea-4c2b-8d93-a2d00a2c60be · outbound

This paper cites Towards training digitally-tied analog blocks via hybrid gradient computation.

Learning long range dependencies through time reversal symmetry breaking Towards training digitally-tied analog blocks via hybrid gradient computation

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.141319Z

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.

source=pdf_text observed=2026-08-07T10:29:46.495223Z digest=sha256:b72239a9f46434abd955b3a60880265cf757b45b7a44c56e7b922a8800113ade

Observation 22384ae5-1439-4722-8685-3c9f5b33aab2 · outbound

This paper cites A Fast Algorithm to Simulate Nonlinear Resistive Networks.

Learning long range dependencies through time reversal symmetry breaking A Fast Algorithm to Simulate Nonlinear Resistive Networks

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.499235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.499235Z digest=sha256:edd86ef23062cb2ebc9f161b75df2907260f3fe73bed3954b24c9a01cf2bed1e

Observation 486773ce-89b3-42e0-86be-8f2b708b168e · outbound

This paper cites Agnostic Physics-Driven Deep Learning.

Learning long range dependencies through time reversal symmetry breaking Agnostic Physics-Driven Deep Learning

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.502663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.502663Z digest=sha256:9c78e8dbb0eae52adada71da15c0b56778056d5393947bbe1c22445b96808456

Observation c359c44c-06d6-4d87-8969-fc6da2d8cf86 · outbound

This paper cites Abreu, I.

Learning long range dependencies through time reversal symmetry breaking Abreu, I

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.132004Z

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.

source=pdf_text observed=2026-08-07T10:29:46.506653Z digest=sha256:35ea1860e32d719986ceb87192a065861766f5b1118b96981a00595b5f453269

Observation cf09e175-9dd8-409c-aca6-87e6ea83f8c4 · outbound

This paper cites SuperMind: A survey of the potential of superconducting electronics for neuromorphic computing.

Learning long range dependencies through time reversal symmetry breaking SuperMind: A survey of the potential of superconducting electronics for neuromorphic computing

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.513274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.513274Z digest=sha256:a990dc7871c5003e5db76d51a5ee595dd9b441a0188660a44b95d31118d0bef1

Observation 9e9f331f-a1c3-447b-b5ae-55a32e26e5af · outbound

This paper cites Grollier, D.

Learning long range dependencies through time reversal symmetry breaking Grollier, D

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.516365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.516365Z digest=sha256:0e9191bc769e6a7d3d35a6bb90f66b1ae7cdb8a067f1dea2d94917eb32d46b70

Observation a3e3936e-5030-4dba-b3f8-0244601629d6 · outbound

This paper cites Gaussian Error Linear Units (GELUs), June 2023.

Learning long range dependencies through time reversal symmetry breaking Gaussian Error Linear Units (GELUs), June 2023

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.123311Z

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.

source=pdf_text observed=2026-08-07T10:29:46.519629Z digest=sha256:64e8cf4ebec88ecdc619cdf495f24d28d250a7a9d02bf48e1fc0a53940734e8f

Observation 064d975d-fdc7-455d-9d8f-86cfc2a51194 · outbound

This paper cites Dauphin, Angela Fan, Michael Auli, and David Grangier.

Learning long range dependencies through time reversal symmetry breaking Dauphin, Angela Fan, Michael Auli, and David Grangier

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.113998Z

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.

source=pdf_text observed=2026-08-07T10:29:46.522857Z digest=sha256:0a085867c7249f37945beda0af103a042901126066cf0cdb2e80e417b6f8b66e

Observation 4f3e9b97-45d8-4056-8cff-46661d4e6caf · outbound

This paper cites JAX: composable transformations of Python+NumPy programs, 2018.

Learning long range dependencies through time reversal symmetry breaking JAX: composable transformations of Python+NumPy programs, 2018

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.104359Z

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.

source=pdf_text observed=2026-08-07T10:29:46.526146Z digest=sha256:8f0f9242ae9f4bd06c7a200c0719a4906ea98d3e08bb24e03f68aa3489ee2656

Observation 3394f5b6-4b9e-4551-88d8-7968d40f9b73 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.095267Z

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.

source=pdf_text observed=2026-08-07T10:29:46.530525Z digest=sha256:63f9654a2f59d7733b746747537dedbb978278db59c6498239dad90c7b3efd02

Observation e8c635e6-033a-4bf8-a790-be7080492034 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.085661Z

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.

source=pdf_text observed=2026-08-07T10:29:46.534555Z digest=sha256:2f09e05d993bdca5f40f5be067a9e114b7b9b0c8cd3e1043d8dcd9b9b2f7c88a

Observation a314541f-9e4f-441f-9ddb-5595b6e9dddd · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.076283Z

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.

source=pdf_text observed=2026-08-07T10:29:46.537867Z digest=sha256:467bb6856bc2dbf8c0cce9ba6dc18233f4afb855ff2b146acbb858a15fc9e920

Observation 78fa1190-e579-47a0-a44c-f6c7355f42d0 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.067629Z

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.

source=pdf_text observed=2026-08-07T10:29:46.540926Z digest=sha256:a7c1c768855feacb7b97532cb5ca2a9bb5b16ec7b84c7b490c7446a6f480bf3b

Observation 6b1a9a77-e3e0-448b-8720-fe312f563e28 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.058282Z

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.

source=pdf_text observed=2026-08-07T10:29:46.544779Z digest=sha256:fdd171116c684413fb8ea4d2cbea8309432ae95da7f492230948f130cb5347b7

Observation f194b62d-77e9-4b9b-ba38-ed417c20d410 · outbound

This paper cites Remark 1.

Learning long range dependencies through time reversal symmetry breaking Remark 1

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.048941Z

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.

source=pdf_text observed=2026-08-07T10:29:46.548744Z digest=sha256:cd376020a0272d44fe0a43f5d1c460a7c2313d677ca6ff061babc6e9c862f40e

Observation 20e2dd0d-db50-4c9b-89be-f47ffbf7121c · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.039815Z

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.

source=pdf_text observed=2026-08-07T10:29:46.552489Z digest=sha256:b43977800c3ef1a542bfd1d5db747c15d3f389efce7f9a325a3ad627ee72ec1e

Observation 0afab395-bec0-4b4b-b052-69b21ce36e0f · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.031017Z

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.

source=pdf_text observed=2026-08-07T10:29:46.555542Z digest=sha256:d2c7fa3f3c613a1faef4570c763a38665b14d6c9d52af519a76df21058f647c3

Observation 97595997-0dca-4ae0-8ac2-246dd4f2b332 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.021894Z

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.

source=pdf_text observed=2026-08-07T10:29:46.558845Z digest=sha256:2bce0279127e657d821fdd80be3f274f82e2123edaf39f5b29dcafe067fed9e9

Observation 8a93b2c8-0a0d-438e-8052-30ca27eb2e2e · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:47.011810Z

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.

source=pdf_text observed=2026-08-07T10:29:46.562463Z digest=sha256:e43c7d3fc3168561c9fc43bfcd77478cbc2ac41a78a7db770251ac744e155a47

Observation fda6cf7a-787f-4088-b65a-5bd058539d2b · outbound

This paper cites Note that while we did not assume in the main part of this manuscript that ℓ depended on θ, we assume it in the appendix for the generality of our derivations.

Learning long range dependencies through time reversal symmetry breaking Note that while we did not assume in the main part of this manuscript that ℓ depended on θ, we assume it in the appendix for the generality of our derivations

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:47.002445Z

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.

source=pdf_text observed=2026-08-07T10:29:46.566605Z digest=sha256:fee634880dfc5be9c7b085dbe69d92afb3b30ce135c8dea8cf981dde06f8251f

Observation 002d4cce-accd-4204-8e06-029dae16e07b · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:46.993224Z

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.

source=pdf_text observed=2026-08-07T10:29:46.570314Z digest=sha256:4b9db40c7a8f3c920d44f44278f73682e9da1817da544c8c21e61e6ba67a1099

Observation f1ee8606-49d7-4f7c-83c7-10cd32878aba · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:46.983446Z

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.

source=pdf_text observed=2026-08-07T10:29:46.573579Z digest=sha256:deca185d49729c4fac7aab5b536487afc4a9096f6aebd7fd2dc2441c0a2f6248

Observation f205da30-d0f8-4826-a0c3-07b15efb03ce · outbound

This paper cites Proof of Lemma A.1.

Learning long range dependencies through time reversal symmetry breaking Proof of Lemma A.1

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.973953Z

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.

source=pdf_text observed=2026-08-07T10:29:46.576597Z digest=sha256:570e1134026a3c8d067d5de8e6c3bd874ef9ff33f94678af48b7926411427873

Observation eb6aed0c-088d-4cc5-87d0-919f625e6a49 · outbound

This paper cites V and T only depend on ϕ and π respectively: V [Φ, θ, u] = V [ϕ, θ, u], T [Φ, θ, u] = T [π, θ, u].

Learning long range dependencies through time reversal symmetry breaking V and T only depend on ϕ and π respectively: V [Φ, θ, u] = V [ϕ, θ, u], T [Φ, θ, u] = T [π, θ, u]

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.963183Z

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.

source=pdf_text observed=2026-08-07T10:29:46.579819Z digest=sha256:b3a867cc3ccaa7375bab05f55730e2b37d758ed2b723f078dd8a5b689289fab9

Observation 978d1835-7505-4e49-9ed1-b3cf018f1b4c · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:46.952595Z

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.

source=pdf_text observed=2026-08-07T10:29:46.583562Z digest=sha256:e21f25dff3d3fe2729b57fe22e2182b57a35345ccfbd8b4119fed4dbec37973f

Observation b7b30259-05c7-40cb-8afb-307e7956bc77 · outbound

This paper cites Remark 4.

Learning long range dependencies through time reversal symmetry breaking Remark 4

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.943187Z

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.

source=pdf_text observed=2026-08-07T10:29:46.587640Z digest=sha256:3183a57be129debd45e4843eda99bccf3ba476aab2df7afad46dfebb08cd80f5

Observation ae49b28f-0ca4-4421-9985-2305f0b7f7e8 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:29:46.932949Z

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.

source=pdf_text observed=2026-08-07T10:29:46.591435Z digest=sha256:812b199213d8eb8ca8d1f53c12fcc390f7292fc38e270bd13ac58674149e9a2d

Observation 64afcd7b-7db9-41f8-ae87-b7df8580712f · outbound

This paper cites chain rule.

Learning long range dependencies through time reversal symmetry breaking chain rule

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.922756Z

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.

source=pdf_text observed=2026-08-07T10:29:46.594975Z digest=sha256:1e812f0e50a0ee5d16a5898733bf38e038a034a0d9a1b34e408e18f72196ee12

Observation 473b6529-c0e0-4fed-a184-d236db1bd56d · outbound

This paper cites I − δ2 2 A δ[I − δ2 4 A] −δA I − δ2 2 A # , F k =.

Learning long range dependencies through time reversal symmetry breaking I − δ2 2 A δ[I − δ2 4 A] −δA I − δ2 2 A # , F k =

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.912078Z

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.

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Observation b7d7f25d-3870-49f9-822b-053ecebccd5a · outbound

This paper cites doi: 10.1016/j.revip.2024.100093.

Learning long range dependencies through time reversal symmetry breaking doi: 10.1016/j.revip.2024.100093

Reference 2024

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

Observation f903955e-1bc4-4379-82ce-343c1067b43b · inbound

Equilibrium Propagation for Dissipative Dynamics cites this paper.

Equilibrium Propagation for Dissipative Dynamics Learning long range dependencies through time reversal symmetry breaking

Reference 26

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6001f196-9f4e-4a12-824a-6a7e822ca087 · inbound

Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model cites this paper.

Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model Learning long range dependencies through time reversal symmetry breaking

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-22T09:34:46.798945Z

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.

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Observation 78ee6357-725f-41ab-bc4c-cd2af153e0d7 · inbound

Unifying Physical Backpropagation cites this paper.

Unifying Physical Backpropagation Learning long range dependencies through time reversal symmetry breaking

Reference 31

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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