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Paper Citation Record · LEDGER

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.11020.

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

pith.paper-citation-record.v1
2608.11020 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:05:29.795300Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

13 of 13 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b6072b4-b6b0-4605-b384-f38b1058c85b · outbound

This paper cites My Ha Dao, Pao-Hsiung Chiu, Jian Cheng Wong, and Chin Chun Ooi.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond My Ha Dao, Pao-Hsiung Chiu, Jian Cheng Wong, and Chin Chun Ooi

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.745958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.745958Z digest=sha256:24dc0b130b9c9f91ab7cdc70454d4c7bd88f4da386b632fa96191d67bf67824e

Observation 29ae9acd-4592-4194-bcfb-4fe9b914b153 · outbound

This paper cites Tim De Ryck and Siddhartha Mishra.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Tim De Ryck and Siddhartha Mishra

Reference 5

Resolution
verified exact
doi, observed 2026-08-12T12:05:29.888309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:05:29.751549Z digest=sha256:ec88a327883558a8f7a09088e1d96c4a6a6c67a7be6c25b44b1b5898edb5f219

Observation 696fa779-d2dd-4888-adfd-4c4f066d0af3 · outbound

This paper cites ISBN 9798400720185.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond ISBN 9798400720185

Reference 7

Resolution
verified exact
doi, observed 2026-08-12T12:05:29.859124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:05:29.762040Z digest=sha256:b3a38880c7b9c7429947e7254bea68f1dfb463f92bead3613e07e933085ad63e

Observation d5a7c784-7d64-46a8-95ed-6669ef90c498 · outbound

This paper cites Andreas Langer.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Andreas Langer

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.766997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.766997Z digest=sha256:ebb64f4ecc1130c3cac48f35995bda3c6378cc94280e1023463e3d74d942a18b

Observation cf18316f-3183-4e7d-948d-df877950bb8c · outbound

This paper cites Tianyu Pang, Kun Xu, Chongxuan Li, Yang Song, Stefano Ermon, and Jun Zhu.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Tianyu Pang, Kun Xu, Chongxuan Li, Yang Song, Stefano Ermon, and Jun Zhu

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.772468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.772468Z digest=sha256:0d9e0967f35899243df051174ed21ce96c94e9d467d935c807fe8f529e55f964

Observation a361d187-f46e-46d7-a5c0-91b0f0acd592 · outbound

This paper cites Transition Models: Rethinking the Generative Learning Objective.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Transition Models: Rethinking the Generative Learning Objective

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.782358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.782358Z digest=sha256:eb9ce2ae3002cfb3fd2ba4acde97852d95258e9eee5983148d121e96bd41c8c8

Observation 6f4b9383-cab4-4c21-9b81-291f0b2f5ed4 · outbound

This paper cites Hybrid Finite Difference with the Physics-informed Neural Network for solving PDE in complex geometries.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Hybrid Finite Difference with the Physics-informed Neural Network for solving PDE in complex geometries

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.788201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.788201Z digest=sha256:9ab5180bff2d08f48205781379ee4ed5bb1855b246eb7586722c75467e6e528d

Observation e160a8de-346b-4578-bc4b-cb8add41187d · outbound

This paper cites Jiaming Zhang, David Dalton, Hao Gao, and Dirk Husmeier.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Jiaming Zhang, David Dalton, Hao Gao, and Dirk Husmeier

Reference 13

Resolution
verified exact
doi, observed 2026-08-12T12:05:29.838860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:05:29.795300Z digest=sha256:23253d876b0b5a120f79cd12622f39d8bb70f0cac346c0b3b5d247cc633e5224

Observation f3b5397a-70b0-4955-b591-e7752516a5f3 · outbound

This paper cites Finite difference physics-informed neural networks enable improved solution accuracy of the Navier-Stokes equations.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Finite difference physics-informed neural networks enable improved solution accuracy of the Navier-Stokes equations

Reference 2019

Resolution
malformed identifier
no resolver link, observed 2026-08-12T12:05:29.777056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.777056Z digest=sha256:a8660eb8c7fca4e020fc9cc2baeff1c8a9e2a072c0dd14e01c02695f0e950523

Observation 21a5f61c-18c3-482e-a199-28db1456b62f · outbound

This paper cites 20 Junwoo Cho, Seungtae Nam, Hyunmo Yang, Seok-Bae Yun, Youngjoon Hong, and Eunbyung Park.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond 20 Junwoo Cho, Seungtae Nam, Hyunmo Yang, Seok-Bae Yun, Youngjoon Hong, and Eunbyung Park

Reference 2022

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T12:05:30.364939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:05:29.740832Z digest=sha256:afe08fd70d43d9390ee4f97a2e13c0dc3a3346872e29270f72ed0cddc08154a7

Observation c166ddb6-5e18-4c1c-bc6e-43ef1427a8c3 · outbound

This paper cites Chuqi Chen, Yahong Yang, Yang Xiang, and Wenrui Hao.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Chuqi Chen, Yahong Yang, Yang Xiang, and Wenrui Hao

Reference 2023

Resolution
verified exact
doi, observed 2026-08-12T12:05:29.935993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T12:05:29.729591Z digest=sha256:ee09dd2cfda47ab399436713e402af80da5a92684a8bd81318f834ba0dd89e7e

Observation c9756de3-9fbd-4029-b37a-bb254e170345 · outbound

This paper cites Zekai Guo and Ye Li.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Zekai Guo and Ye Li

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-12T12:05:29.757173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:05:29.757173Z digest=sha256:1ac7ffc14edb18f095603f88ff4fa834570beb7f0e03f2c19b079300e19e9d84

Observation a856a817-f13e-4893-b17a-c986f14a952e · outbound

This paper cites Pao-Hsiung Chiu, Jian Cheng Wong, Chinchun Ooi, My Ha Dao, and Yew-Soon Ong.

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond Pao-Hsiung Chiu, Jian Cheng Wong, Chinchun Ooi, My Ha Dao, and Yew-Soon Ong

Reference 2025

Resolution
verified exact
doi, observed 2026-08-12T12:05:29.917058Z

Source-reported events for the cited work

correction dated 2025-11-14. Source: crossref record 10.1007/s10915-025-03098-3->10.1007/s10915-025-02965-3:correction, observed 2026-07-11T03:08:57.580184+00:00. This notice travels one citation hop only.

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Pith citing papers

No inbound Pith citation observations are available.