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Paper Citation Record · LEDGER

Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2207.08799.

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

pith.paper-citation-record.v1
2207.08799 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:43:14.775196Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

12
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fbc2d07d-597a-42d0-9b66-0e56c0f3a6b1 · inbound

Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small cites this paper.

Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:13:51.494465Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-13T17:13:51.408311Z digest=sha256:e2e48576dd2e4844f0b0fb7f2073ecef507daa6f0872b1f8585b0c5015a858ff

Observation 695b23b0-ae68-418e-9e26-ceb4e62fcf24 · inbound

Progress measures for grokking via mechanistic interpretability cites this paper.

Progress measures for grokking via mechanistic interpretability Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:52:56.141440Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-14T21:52:56.040569Z digest=sha256:bdcfd02887f882525ea7ecb0bb3e087bf678862db2763ec4370a9ec76e07dd3f

Observation 2aaa1d0a-f51b-4518-b377-c470626ae7eb · inbound

Massive Activations in Large Language Models cites this paper.

Massive Activations in Large Language Models Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-16T07:02:53.826534Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-16T07:02:53.740597Z digest=sha256:51cc151c860472a0b3b81797507510dcd46af15f5d59f3a31aca71b6b7c55436

Observation 4382c841-0db5-4bfa-9031-dfca2a9091ca · inbound

Unraveling Token Prediction Refinement and Identifying Essential Layers in Language Models cites this paper.

Unraveling Token Prediction Refinement and Identifying Essential Layers in Language Models Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T14:43:14.775196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:43:14.775196Z digest=sha256:91e7d1179a7015266758661294c37e2b066fac4a74fdbba3f225c969323351a3

Observation 7f726ba0-ece0-4ead-a770-3acad5f9d011 · inbound

Low-dimensional Functions are Efficiently Learnable under Randomly Biased Distributions cites this paper.

Low-dimensional Functions are Efficiently Learnable under Randomly Biased Distributions Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-08T15:34:16.599535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T15:34:16.599535Z digest=sha256:d45d58a244df17b4723d249506c15de030a2bcd9873ef36d2ba44543273286c2

Observation 19323556-7624-4dab-a6db-53763a74bb8b · inbound

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior cites this paper.

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:17:58.875355Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-14T21:16:40.430384Z digest=sha256:e36b0dec26b1a47a6449a8243c759c682293183508c8c1a000cd9557a5a3e0f6

Observation 298e738a-b6be-435f-86d9-f592bcc31193 · inbound

The two clocks and the innovation window: When and how generative models learn rules cites this paper.

The two clocks and the innovation window: When and how generative models learn rules Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:16:18.120838Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-12T03:15:45.257213Z digest=sha256:b42efce2189083e2ab2984adb719e068d9c40868f2b7c057f7bc5e16cc716166

Observation 746933b5-0e7a-4b20-ac76-0a3269ed01ad · inbound

The Benefits of Temporal Correlations: SGD Learns k-Juntas from Random Walks Efficiently cites this paper.

The Benefits of Temporal Correlations: SGD Learns k-Juntas from Random Walks Efficiently Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:31:24.123871Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-12T05:27:11.761971Z digest=sha256:7baacd75345d8a22768507a08fe8e000f39db572bb1a5291fad4696c0250b42e

Observation b17d132e-133a-4163-a9cf-a73a301c60a2 · inbound

Less Data, Faster Training: repeating smaller datasets speeds up learning via sampling biases cites this paper.

Less Data, Faster Training: repeating smaller datasets speeds up learning via sampling biases Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-21T07:19:46.460873Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-05-21T07:16:15.549463Z digest=sha256:8cad2f88dd7a7c6c17827f3e2a0b6f412881c4d807635b203d57010d5a646c90

Observation 84460bec-87cd-4060-998c-fb2d1b0d334d · inbound

Dead Directions: Geometric Singular Learning cites this paper.

Dead Directions: Geometric Singular Learning Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:36:55.206532Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-06-28T03:20:09.365073Z digest=sha256:c5b4d2b85ee8d80d697bc813556f27c97a7fbcca8ca9b64a9580deebc4d68a4f

Observation 5da745fc-0311-4d6e-bd9e-a4005e0819f7 · inbound

Tracking Representation Dynamics in Large Language Models with Persistent Homology cites this paper.

Tracking Representation Dynamics in Large Language Models with Persistent Homology Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-04T00:39:17.222472Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-26T21:03:07.253265Z digest=sha256:104aab1b9e6de14336c7325c89b96a8e6b4bdcd0b863613df6ca9167ee9b2e18

Observation af373fd4-4fc2-4a8a-88ac-58ab1142c327 · inbound

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity cites this paper.

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-04T06:19:38.277556Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-06-26T14:36:17.793710Z digest=sha256:d49372620a41e48a130fd6cc5e704385a2d2b921d7cb47ff9dd74d731fb03684

Observation d977a711-ba09-4398-9940-0d3116057758 · inbound

Grokking Is Conditional and Fragile: A Fully-Tractable, Multi-Seed Study at 12K Parameters cites this paper.

Grokking Is Conditional and Fragile: A Fully-Tractable, Multi-Seed Study at 12K Parameters Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-11T08:46:29.099447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T08:46:29.099447Z digest=sha256:594d91b5afaa8eb767163c07094cbcb46354d2ca4ad5746a74cc35908fd08bdd