Paper Citation Record · LEDGER

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.21622.

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

pith.paper-citation-record.v1
2607.21622 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:55:50.367156Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

29 of 29 outbound references displayed

verified exact2
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93749ced-9e71-4919-ae0c-a6fb6e3650e5 · outbound

This paper cites Aizenbud, D.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Aizenbud, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.239066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ee9ad01-f26e-430d-b4d8-dcdf25ca10e7 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.248972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60433fb8-e824-410f-900c-df77b5c26f51 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.253241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98c09713-624f-451f-a8a5-d300d11b9b6b · outbound

This paper cites Balestriero and Y.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Balestriero and Y

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.262375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a94459b-fe77-4164-9113-fdfac8365f0b · outbound

This paper cites VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.271782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d849e02-5796-4cb7-b83c-cbaa3a9cabb4 · outbound

This paper cites Bi and M.-m.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Bi and M.-m

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.276690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc479afb-5ef8-494a-b8ef-6a0a433b9259 · outbound

This paper cites Bradbury, R.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Bradbury, R

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.281154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc90fdf8-6883-4734-8039-a55dec4feb25 · outbound

This paper cites Buesing, J.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Buesing, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.286416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc38c81-1ffe-484c-8acf-f25d6ae1be65 · outbound

This paper cites A Simple Framework for Contrastive Learning of Visual Representations.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation A Simple Framework for Contrastive Learning of Visual Representations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.290884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edc2b7e7-4e62-478c-a1b1-22d8f9d77e4f · outbound

This paper cites Coates and A.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Coates and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.295640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29ab0715-5ff2-4572-b524-f096a0d59c27 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.300077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14bc1822-598b-4840-811a-6edb4a3f2dd5 · outbound

This paper cites Bootstrap your own latent: A new approach to self-supervised Learning.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Bootstrap your own latent: A new approach to self-supervised Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.304416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d67a3991-e687-40d2-b024-bc4bf3ce905a · outbound

This paper cites The Forward-Forward Algorithm: Some Preliminary Investigations.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation The Forward-Forward Algorithm: Some Preliminary Investigations

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.309112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0aa55a5-003a-48f2-a3c6-ed8a4fdacbf5 · outbound

This paper cites Fast Inference in Sparse Coding Algorithms with Applications to Object Recognition.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Fast Inference in Sparse Coding Algorithms with Applications to Object Recognition

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.313350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a3885b4-4ab0-4102-9344-0308f553df18 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-02T08:58:23.785340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 763b3eee-198a-4105-b9bb-220ae75425db · outbound

This paper cites This is how the Neocortex Learns.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation This is how the Neocortex Learns

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.322596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dda04d8a-3799-43d3-9536-19f5e2dc7180 · outbound

This paper cites Scellier and Y.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Scellier and Y

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-02T08:55:50.327009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e4452b1-f173-4d2e-bbe4-4b6d7a2461dd · outbound

This paper cites Schmidhuber.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Schmidhuber

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.332100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 681a5896-8ba6-44c7-8aa5-8871aa6832d4 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.336897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09c9e4ac-5d1d-4f87-ab60-433f048fb593 · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 20

Resolution: malformed identifier; no resolver link, observed 2026-08-02T08:55:50.345516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 485a3a54-b7c3-484b-aaeb-3099640b0596 · outbound

This paper cites 2.L sim =L var +L temporal (loss identity).

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation 2.L sim =L var +L temporal (loss identity)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.349682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e5b50ed-084d-4d04-9ebe-9af77cec7e2e · outbound

This paper cites (14) equals∂L var-hom/∂h(exact, no missing factor).

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation (14) equals∂L var-hom/∂h(exact, no missing factor)

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.354305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cf9243f-9cc0-46a6-bef2-294d4ce0ccfa · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.358513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbe3f0bb-fc87-4f7f-aae0-d235f2e8c08c · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.362757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 176a5e21-e5c5-4081-9dcb-5fb3e75b7d04 · outbound

This paper cites Table 2 reports the maximum absolute error of each identity.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Table 2 reports the maximum absolute error of each identity

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.367156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfcc08ce-6269-470e-a681-f736a5b96e3c · outbound

This paper cites an unresolved cited work.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation Unresolved cited work

Reference 2008

Resolution: verified exact; doi, observed 2026-08-02T08:58:23.566783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 84d87d90-41bc-4813-84a0-4c5d6e2df5b8 · outbound

This paper cites LeJEPA: Provable and Scalable Self-Supervised Learning Without the Heuristics.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation LeJEPA: Provable and Scalable Self-Supervised Learning Without the Heuristics

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.266763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f7325ee-2307-41a5-8642-e015aa6413f2 · outbound

This paper cites URL https://www.biorxiv.org/content/early/2026/ 06/09/2026.06.08.730984.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation URL https://www.biorxiv.org/content/early/2026/ 06/09/2026.06.08.730984

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.244434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38abba45-6c80-44ea-9630-d23ea0ce5bf4 · outbound

This paper cites URL https://www.sciencedirect.com/ science/article/pii/0025556471900514.

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation URL https://www.sciencedirect.com/ science/article/pii/0025556471900514

Reference 5564

Resolution: unresolved; no resolver link, observed 2026-08-02T08:55:50.257981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.