Paper Citation Record · LEDGER

Exact and approximate error bounds for physics-informed neural networks

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2411.13848.

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

pith.paper-citation-record.v1
2411.13848 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:59:11.145306Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:22:32.859537Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:22:33.273907Z

Reference resolution

15 of 15 outbound references displayed

verified exact4
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58813d15-120c-49e6-9e56-cdec8810e0e9 · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.071706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9217139-0e01-4e2e-9278-fcd0d2dc6e7a · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.081128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c93e1dc7-55af-4040-b111-c4a7362d6cee · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.088229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c7514bf-63d0-4ce0-87d2-c92959d2be0a · outbound

This paper cites De Felice, S.

Exact and approximate error bounds for physics-informed neural networks De Felice, S

Reference 4

Resolution: verified exact; doi, observed 2026-08-12T15:59:11.368970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 68d74667-fde0-4104-8c2d-e87e95df6b93 · outbound

This paper cites De Ryck and S.

Exact and approximate error bounds for physics-informed neural networks De Ryck and S

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.102081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14fcca4c-89a1-4172-806b-267f6b0556c0 · outbound

This paper cites De Ryck, A.

Exact and approximate error bounds for physics-informed neural networks De Ryck, A

Reference 6

Resolution: verified exact; doi, observed 2026-08-12T15:59:11.345125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9851a96c-04dd-4eb5-a1ed-2117e60c1284 · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.112792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8fb9847-bc1c-42bf-bf45-dd461bd93b2c · outbound

This paper cites Lagaris, A.

Exact and approximate error bounds for physics-informed neural networks Lagaris, A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.117375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f26a04ee-4033-4aa6-83b7-4cd9fb137f21 · outbound

This paper cites Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems.

Exact and approximate error bounds for physics-informed neural networks Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:59:11.643903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 698bcc93-41cb-4308-ae80-b03be625498c · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:59:11.724487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3c596fdf-fc92-420c-a021-5c8fd3933f9d · outbound

This paper cites Lorenz, A.

Exact and approximate error bounds for physics-informed neural networks Lorenz, A

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-12T15:59:11.629079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 91c8c2fe-193e-49ee-8dc4-157ed3f74a59 · outbound

This paper cites an unresolved cited work.

Exact and approximate error bounds for physics-informed neural networks Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.133670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb1566a3-5d0c-4586-8948-4e3f4a1ad2fd · outbound

This paper cites Mishra and R.

Exact and approximate error bounds for physics-informed neural networks Mishra and R

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.137393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 484afa44-756b-4801-b7f9-18e7217e24be · outbound

This paper cites Raissi, P.

Exact and approximate error bounds for physics-informed neural networks Raissi, P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.141107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b26db7e-1932-4f75-bd75-a7a2013b2a5f · outbound

This paper cites Raissi, A.

Exact and approximate error bounds for physics-informed neural networks Raissi, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T15:59:11.145306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 068cb3a4-d78a-4a4d-b5c6-b0ff389a76be · inbound

Fredholm Neural Networks for inverse problems in elliptic PDEs cites this paper.

Fredholm Neural Networks for inverse problems in elliptic PDEs Exact and approximate error bounds for physics-informed neural networks

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:22:33.277825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.