Paper Citation Record · LEDGER

Evidential Physics-Informed Neural Networks

As of 10 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2501.15908.

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

pith.paper-citation-record.v1
2501.15908 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:55:40.991608Z

measured 32 of 32 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:55:46.802847Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:55:47.795991Z

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy25
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 957d11c6-fa77-4e0f-892e-58967319441d · outbound

This paper cites R., M AKARENKOV , V., AND NAHAVANDI , S.

Evidential Physics-Informed Neural Networks R., M AKARENKOV , V., AND NAHAVANDI , S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.435887Z

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.

Observation 684c721b-badd-460a-8441-ab5a1192abde · outbound

This paper cites Deep evidential regression.

Evidential Physics-Informed Neural Networks Deep evidential regression

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.421397Z

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.

Observation 6ea742d0-3363-451b-ada7-01e1bebd6af8 · outbound

This paper cites A., AND RAISSI , M.

Evidential Physics-Informed Neural Networks A., AND RAISSI , M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.408215Z

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.

Observation feb63359-0dce-42ff-a2c1-7960a8ea6a67 · outbound

This paper cites A hands-on introduction to physics- informed neural networks for solving partial differ- ential equations with benchmark tests taken from astrophysics and plasma physics, 2024.

Evidential Physics-Informed Neural Networks A hands-on introduction to physics- informed neural networks for solving partial differ- ential equations with benchmark tests taken from astrophysics and plasma physics, 2024

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.394734Z

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.

Observation d8a88dd0-255d-4a9f-b63a-8af530357a25 · outbound

This paper cites E., AND DAL NEGRO , L.

Evidential Physics-Informed Neural Networks E., AND DAL NEGRO , L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.380712Z

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.

Observation 4b60437b-6bba-4405-ab5f-c4cb60bd310e · outbound

This paper cites D., AND JALAIAN , B.

Evidential Physics-Informed Neural Networks D., AND JALAIAN , B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.367417Z

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.

Observation ebd681d6-366f-49dd-a74a-0584ac40b3f9 · outbound

This paper cites M., AND THOMAS , J.

Evidential Physics-Informed Neural Networks M., AND THOMAS , J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.354115Z

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.

Observation 39905848-9745-45f9-892a-c6a2834b67c2 · outbound

This paper cites S., G IAMPAOLO , F., ROZZA , G., R AISSI , M., AND PICCIALLI , F.

Evidential Physics-Informed Neural Networks S., G IAMPAOLO , F., ROZZA , G., R AISSI , M., AND PICCIALLI , F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.341060Z

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.

Observation fe71f48f-7525-4c2f-93dd-c7d0f1678ee9 · outbound

This paper cites Autodeuq: Automated deep ensemble with uncertainty quantifi- cation.

Evidential Physics-Informed Neural Networks Autodeuq: Automated deep ensemble with uncertainty quantifi- cation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.327824Z

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.

Observation 7a591c8b-d1b2-4d60-93fe-1cb62b51776f · outbound

This paper cites Dropout as a bayesian approximation: Representing model un- certainty in deep learning.

Evidential Physics-Informed Neural Networks Dropout as a bayesian approximation: Representing model un- certainty in deep learning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.314355Z

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.

Observation 2909edda-b542-48b4-8d2e-a9a85d4933e8 · outbound

This paper cites Ensemble deep learning: A review.

Evidential Physics-Informed Neural Networks Ensemble deep learning: A review

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.300340Z

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.

Observation 99778734-02ba-4f11-9ba5-9d3304dd271a · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.287078Z

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.

Observation 835411ad-b9c1-40bd-bb8b-613d7ca6a52d · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.273951Z

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.

Observation 87f8fbd6-d76d-479f-9c6c-a7c88705d6b2 · outbound

This paper cites Physics-informed ma- chine learning: A survey on problems, methods and applications, 2023.

Evidential Physics-Informed Neural Networks Physics-informed ma- chine learning: A survey on problems, methods and applications, 2023

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.260708Z

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.

Observation 4b8ba690-539a-4ecb-97f2-acf8b57a3899 · outbound

This paper cites Pinnacle: A comprehensive benchmark of physics-informed neural networks for solving pdes, 2023.

Evidential Physics-Informed Neural Networks Pinnacle: A comprehensive benchmark of physics-informed neural networks for solving pdes, 2023

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.246000Z

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.

Observation 592ee8f5-fc8c-41dd-91d9-b545c81e2aec · outbound

This paper cites Multilayer feedforward networks are universal ap- proximators.

Evidential Physics-Informed Neural Networks Multilayer feedforward networks are universal ap- proximators

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.232682Z

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.

Observation 0e5cec5c-0540-4383-9376-00ec61d9b675 · outbound

This paper cites D., M AO, Z., A DAMS , N., AND KAR- NIADAKIS , G.

Evidential Physics-Informed Neural Networks D., M AO, Z., A DAMS , N., AND KAR- NIADAKIS , G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.219647Z

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.

Observation 5f6ceab6-c851-4cde-a2a1-42b0f5701e7e · outbound

This paper cites K., W ANG , G., Y EDAVALLI , V., AND SAIR , H.

Evidential Physics-Informed Neural Networks K., W ANG , G., Y EDAVALLI , V., AND SAIR , H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.206701Z

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.

Observation 3f390162-1304-417e-8031-dc20dbfda2fb · outbound

This paper cites A review of physics informed neural networks for multiscale analysis and inverse problems.

Evidential Physics-Informed Neural Networks A review of physics informed neural networks for multiscale analysis and inverse problems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.193719Z

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.

Observation 2212b47c-7b99-4921-8b86-6218a8b54885 · outbound

This paper cites P., AND BA, J.

Evidential Physics-Informed Neural Networks P., AND BA, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.180645Z

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.

Observation 29a8b57d-b9c3-41f8-a05d-9801fb90ab31 · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.167615Z

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.

Observation 5547ff9c-3833-4b45-bce7-04ea552aabb9 · outbound

This paper cites Artifi- cial neural networks for solving ordinary and partial differential equations.

Evidential Physics-Informed Neural Networks Artifi- cial neural networks for solving ordinary and partial differential equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.154136Z

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.

Observation 521acc23-2982-4457-85ab-895032baaac7 · outbound

This paper cites Simple and scalable predictive un- certainty estimation using deep ensembles.

Evidential Physics-Informed Neural Networks Simple and scalable predictive un- certainty estimation using deep ensembles

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.140401Z

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.

Observation 692f35fa-bd55-483e-94e8-b0217669e215 · outbound

This paper cites Automatic dif- ferentiation in pytorch.

Evidential Physics-Informed Neural Networks Automatic dif- ferentiation in pytorch

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.127367Z

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.

Observation 3d5292e7-4aba-41a7-891a-423952aeac94 · outbound

This paper cites Physics-informed neural networks: A deep learn- ing framework for solving forward and inverse prob- lems involving nonlinear partial differential equa- tions.

Evidential Physics-Informed Neural Networks Physics-informed neural networks: A deep learn- ing framework for solving forward and inverse prob- lems involving nonlinear partial differential equa- tions

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.115168Z

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.

Observation a3d17471-7774-442d-938d-fcaf50153ac0 · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.100286Z

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.

Observation 1ac17b3e-2e97-4fc7-94b2-26f1efeab675 · outbound

This paper cites Evidential deep learning to quantify classification uncertainty, 2018.

Evidential Physics-Informed Neural Networks Evidential deep learning to quantify classification uncertainty, 2018

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.085829Z

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.

Observation e5109d0e-642f-485d-94b7-d4fc7017e115 · outbound

This paper cites S., W ANG , K., AND MCBETH , R.

Evidential Physics-Informed Neural Networks S., W ANG , K., AND MCBETH , R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.070348Z

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.

Observation f4c36102-fc64-4a6a-bfee-bb37310a9d64 · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.056459Z

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.

Observation 533fb385-b1e3-4bad-8ae5-cd019705c535 · outbound

This paper cites an unresolved cited work.

Evidential Physics-Informed Neural Networks Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:55:41.043221Z

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.

Observation 33d3b7c5-715d-46e8-af50-97aa5c2375c2 · outbound

This paper cites Tbrats: Trusted brain tumor segmentation.

Evidential Physics-Informed Neural Networks Tbrats: Trusted brain tumor segmentation

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:55:41.028065Z

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.

Pith citing papers

Observation 69648ba3-7b91-4d49-8173-c9b8c4082114 · inbound

Repulsive Ensembles for Bayesian Inference in Physics-informed Neural Networks cites this paper.

Repulsive Ensembles for Bayesian Inference in Physics-informed Neural Networks Evidential Physics-Informed Neural Networks

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:55:47.898636Z

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.