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Paper Citation Record · LEDGER

A deep learning theory for neural networks grounded in physics

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2103.09985.

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

pith.paper-citation-record.v1
2103.09985 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:43:37.958943Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T00:07:28.281479Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f25ca100-d99b-42a8-a5d4-623ae8897412 · inbound

A First-order Generative Bilevel Optimization Framework for Diffusion Models cites this paper.

A First-order Generative Bilevel Optimization Framework for Diffusion Models A deep learning theory for neural networks grounded in physics

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-07T23:43:37.958943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T23:43:37.958943Z digest=sha256:3a05fce97102d183c8548f52511ab56a5ee5507145c8b63d1fe11f1408280a97

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

Perturbative Contrastive Physical Learning cites this paper.

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

Reference 13

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T17:28:48.592339Z digest=sha256:097b9310854497e71032d567d6269ea94e614200c861e65efdc3fab0da2ce390

Observation 741a7ed9-8a72-4f9b-9627-e7661f091ae6 · inbound

Optimization under Persistent State-Dependent Bias: Gradient-based Method and Complexity Analysis cites this paper.

Optimization under Persistent State-Dependent Bias: Gradient-based Method and Complexity Analysis A deep learning theory for neural networks grounded in physics

Reference 284

Resolution
unresolved
no resolver link, observed 2026-08-01T00:57:28.573083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T00:57:28.573083Z digest=sha256:13116829c648748da41c1de77260874114b963106f96620ef4ce0849f9258ce3