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Paper Citation Record · LEDGER

Learning long range dependencies through time reversal symmetry breaking

As of 7 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 2 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 80 of 80 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:59:58.728215Z

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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  • verified fuzzy33
  • unresolved44
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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

This paper cites Learning by directional gradient descent.

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

This paper cites Fine-tuning language models with just forward passes.

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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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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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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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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verified fuzzy
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.455649Z digest=sha256:14a4258c63e243b5ea2fa622dfaf139e0134b23322386d442b61c6e846079a25

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

Resolution
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=sha256:024b0f9e3a9bafecad6a62bc75b3124489574ad5a7b4e9d0a9505b2bf391494e

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:a3dcc49400c115d63ff35fad7f4b63b9694cbb56f11abab424126a1a9ae51718

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=sha256:60e8c67ff19d79c54569965162613989e4e9ee7f53db6a780570e58e506f719f

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:e8cfff245405b681423febca1a0213bb1db0914cbc585d5314281e4352ddbf0c

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=sha256:5f4ed37934d4424b8a9b12823c7ca1a62d5f97dec5b45bf0c09aba0155b27262

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.478945Z digest=sha256:26d98f7e5a88f3ceef11d99fa40f8c0e74f6cf663dd2f39da7798e0553745b54

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.482638Z digest=sha256:fe9875c6c1cb4f6526e11064e532a0dc64f8543a9edda36953929954c22bf944

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.485886Z digest=sha256:c17240d29ca1b6467acf9c97e35523c4c02bc0389be39cd6f2ba1e855d4b419d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.488807Z digest=sha256:f291ba3cde707b3f408bf57ba13661d1ca93aaa8cc0a16728d45cbe805789e4f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.491875Z digest=sha256:f6bb30bda06e2e55580b78c55472800d8b0a0b4888f3f8c2ae3782b4099d81fd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.495223Z digest=sha256:6d7c631af56dcaa25777cad0fcf4539f3d179bc24872cbec1ddc55c8edda90da

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=sha256:43782a2bb2945adc3eb216f1715ffdeb4667f57ea592701cfdc2cc19adc5dddc

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:dacc66a66cef4ba85158554988d6b7f7a340b3b917f1c0025dcb2ce8ee9bad2d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.506653Z digest=sha256:43ed6a6c41cda1d719ac4f1ea18f1b23dd1ec0988167b8893a5124653e7c8458

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:bae7926b7e4b8a674471ff4c46e593c5f5bf434484037d467c834edb5426a090

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:b8358ccdf758be7b45beb793b16352e92748885b486fe337ad4d213b5124d6ee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.519629Z digest=sha256:3f76c4cecd2ee567a27816d61cafeeb26b53bf2260c547e1dd8f173c572e18e7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.522857Z digest=sha256:1acd60fd6ddbd9366cd5706a85f3ecce73c0c8e35aecbd7bfd31203ed2f0d0fc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.526146Z digest=sha256:b2738c2f48f30b60835cd14e7da6ea1cba093b726e39922e930a61bc1181429f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.530525Z digest=sha256:cbf558d49716305b100a320ef8ed9c760b82f8320ea4fe36429e853410db2630

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.534555Z digest=sha256:ca59555bed6c05266ac12a53371670ba453feb262936930a8d774029f8d7f16e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.537867Z digest=sha256:ba49dea8b30b54adaead7af4605d369b319ce1aee5b196dd23839b7586e1b394

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.540926Z digest=sha256:e97b41e850beb8ddfb58ce1de4a260c34d6da378a30723c998e93f7ee4017dc2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.544779Z digest=sha256:a86bc783fa0cbd9c6248258b7f01a035f55d03b1d16a343ea640809a1fbf3383

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.548744Z digest=sha256:76ec294b33c24b7bc1757ca695f78876e702aef59f32870cd484422795fd85e5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.552489Z digest=sha256:6c3d9828995c2060a9dd093647f34201f459c53ae7f7cb73628997ed306167e7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.555542Z digest=sha256:58a149e4a6420b2dd86929c46d9fefc4937db4ddbb1ab7217b4649da50216f15

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.558845Z digest=sha256:bf1d6d5db843cd8e1b50992013f9aa058b6c9eab7e016a7a73eaeeeb765694b0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.562463Z digest=sha256:449bf8e084eed5ddd78acc8ffb470d43bd82beb93a5b775a5883ed9f34df9cde

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.566605Z digest=sha256:cdc1b18c0a6cf80333c695309daa872788f97b8ab229671af2967d4bf8c38f98

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.570314Z digest=sha256:2a0a29dfdd76d38c785e947d70bd3b3de6689cfddcbd0e2a37baa35fc461a04d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.573579Z digest=sha256:a80c58f82ec0e879d24d103b1bd3f863d23340f4baf2bf2ea4204f1bdb783340

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.576597Z digest=sha256:6cc2b1094d2c39e281f3acc9f6a1f5d9540278d9d66d9863598d55b4d70a0bd5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.579819Z digest=sha256:3534697c2aa5aac5eb37e74405adbc3347c2a9bac8ceb7e61bcb30b44bd09e22

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.583562Z digest=sha256:7b310d994af6a24c24b9ba5075d9c03787f253502f4c1c6ba36a604ea003696e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.587640Z digest=sha256:e9e06c4123e3908d0046cc97351740bfaa7120930dc100b0f841632c67b8769e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.591435Z digest=sha256:d446a9eb549d9db0aa9d80e5a1718eda5ae9a40fb93030e0e8fa1126e383255c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.594975Z digest=sha256:5287b3608c44cfde161643c6fe1973cbeb3d9ea9ec3713344d6377d5f28bd303

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:29:46.598779Z digest=sha256:995ee6bf84f6277e3ebd09471ab715da01c41a9054adb1bf0e7ee10edb02f7ba

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
no resolver link, observed 2026-08-07T10:29:46.510227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.510227Z digest=sha256:8fbabfac241b5569660ea2a74ff11e7375ad8cc7bc224a62876cc21270e99142

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
no resolver link, observed 2026-08-06T22:59:58.728215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:59:58.728215Z digest=sha256:96178dffcf73c83c252408d47bf23da90bf7f835b4c37d63d8b15d8c0514927a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-22T09:33:58.160546Z digest=sha256:e7d1ca3ef8d09e62e87dfdbd55922d65472398c898caded67de34d5c31ff8d2c