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Paper Citation Record · LEDGER

Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields

As of 7 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 3 inbound Pith citation observations for arXiv:2509.04223.

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

pith.paper-citation-record.v1
2509.04223 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:20:48.564588Z

measured 5 of 5 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T00:32:05.829005Z

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

2 of 2 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation e086c3f3-a731-4dbc-905d-4e68881cbf93 · outbound

This paper cites Thermographic data analysis for defect detection by imposing spatial connectivity and sparsity constraints in principal component thermography,.

Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields Thermographic data analysis for defect detection by imposing spatial connectivity and sparsity constraints in principal component thermography,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:20:48.675748Z

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=2026-08-05T10:20:48.554400Z digest=sha256:9899685d473b26d143ed364eaac59832e16213507c65e49fb94fb3c2da3c3887

Observation 8889883c-65fc-4d20-aba7-a7d95144ff42 · outbound

This paper cites Non-invasive inspection for a hand-bound book of the 19th century: Numerical simulations and experimental analysis of infrared, terahertz, and ultrasonic methods,.

Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields Non-invasive inspection for a hand-bound book of the 19th century: Numerical simulations and experimental analysis of infrared, terahertz, and ultrasonic methods,

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:20:48.638350Z

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=2026-08-05T10:20:48.564588Z digest=sha256:3b7496f1fcfba8507771aa1b2d89dd97ee136b3638ce099e7783c97645f908fe

Pith citing papers

Observation 560159fb-941a-409e-bc87-ee67b97f25a3 · inbound

Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials cites this paper.

Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-09T00:49:29.239055Z

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=2026-05-08T02:26:08.441168Z digest=sha256:b6be6ee2639454c54b8882743efddeb566d751149cf14fd39a445cad631b4324

Observation 61bba79c-dd41-4b3c-8630-e33a78f1d580 · inbound

Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials cites this paper.

Generalized Virtual-Wave Theory for Photothermal Coherence Tomography under Arbitrary Excitation Toward Non-Contact Industrial Inspection of Composite Materials Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-01T00:35:09.884604Z

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=2026-07-01T00:32:05.829005Z digest=sha256:448783b802c6f92795597bf82ad7c38debbb034b8680dab20a44881dc599297c

Observation 91e323c9-0446-4a3b-a445-134d2aaf0779 · inbound

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection cites this paper.

A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection Making neural networks understand internal heat transfer using Fourier-transformed thermal diffusion wave fields

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-06-27T18:01:08.547019Z

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=2026-06-27T17:55:03.373344Z digest=sha256:6b8ed3e47b823e7a21d6ff3f1efebf6c030d8d71050db5402730dd21d4ddc5e7