Paper Citation Record · LEDGER

Trainable Spline Representations for Physics-Informed Learning

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.15751.

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

pith.paper-citation-record.v1
2607.15751 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:28:10.411885Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5251ec1f-64b6-4c09-ae4c-d3328f5085fb · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.037673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b43c600-5b62-4401-9481-a40772d6b38c · outbound

This paper cites Coscia, A.

Trainable Spline Representations for Physics-Informed Learning Coscia, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.189781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af5f42d1-7c9d-475f-ab1c-05d341d8500d · outbound

This paper cites Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling.

Trainable Spline Representations for Physics-Informed Learning Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.344064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 990151de-0af5-44e6-973a-a0cb8f2b5fa3 · outbound

This paper cites de Boor.A Practical Guide to Splines, volume Volume 27.

Trainable Spline Representations for Physics-Informed Learning de Boor.A Practical Guide to Splines, volume Volume 27

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.419687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7d2603b-c266-4fe9-9828-297eadec5999 · outbound

This paper cites Grossmann, U.

Trainable Spline Representations for Physics-Informed Learning Grossmann, U

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.497170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 793c5482-ed11-4590-9cfa-38afc5c2a6a0 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.607760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4289f4db-0f3e-4677-9516-b1b303f46681 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:07.743225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caea1950-80e9-449b-8bc5-f314f7d414db · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.012508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df8bc293-ae3a-4697-ac3f-5b37a0ee4ff9 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.167477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98f5868b-5d66-46c9-b5ea-510204f26b25 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.319403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81959739-2ab8-4e8e-888f-70b1ccad4f90 · outbound

This paper cites Piegl and W.

Trainable Spline Representations for Physics-Informed Learning Piegl and W

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.554477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cc918eb-95dc-4b50-9cd1-6d09db5b88ef · outbound

This paper cites Rahaman, A.

Trainable Spline Representations for Physics-Informed Learning Rahaman, A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.755407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5392f35-2c27-4fe6-873c-bba88fb30ff9 · outbound

This paper cites Raissi, P.

Trainable Spline Representations for Physics-Informed Learning Raissi, P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:08.964806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 230bc790-cffd-4dec-86db-45ba48531da7 · outbound

This paper cites Saidaoui, L.

Trainable Spline Representations for Physics-Informed Learning Saidaoui, L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.115498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee58b68d-acef-493c-8d98-bb67f34662ea · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.307599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5bfb621-6224-406c-b3bc-dd353bb9989c · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.524823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8befe153-d4a5-4caf-a735-f8062cfd8d4b · outbound

This paper cites Constraint-driven Optimization and Parametrization of Industrial NURBS Geometries via Neural Deformation Field.

Trainable Spline Representations for Physics-Informed Learning Constraint-driven Optimization and Parametrization of Industrial NURBS Geometries via Neural Deformation Field

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.602111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd8a3f6f-070a-492b-8ebf-bbf01b3ebfc2 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.686813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b7ace35-63a2-4b23-8430-6bc9beaa3ea2 · outbound

This paper cites Wandel, M.

Trainable Spline Representations for Physics-Informed Learning Wandel, M

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.853040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a596ad40-c3ed-439b-bcc0-c9cfba11cc75 · outbound

This paper cites PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks.

Trainable Spline Representations for Physics-Informed Learning PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:09.956404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cff4548-83a2-4982-ac4b-03d2d11817e3 · outbound

This paper cites An Expert's Guide to Training Physics-informed Neural Networks.

Trainable Spline Representations for Physics-Informed Learning An Expert's Guide to Training Physics-informed Neural Networks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:10.030601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7c13530-8128-4ee2-9f36-7b390ae26d07 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:10.129957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f391ec1-60a4-4d4b-b667-0079d6e75d0c · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:10.249324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7684f927-d807-467b-80df-d1656fcc0460 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:10.344057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bb339be-5f39-4dc1-bdf5-5196dbe6d1b5 · outbound

This paper cites an unresolved cited work.

Trainable Spline Representations for Physics-Informed Learning Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T22:28:10.411885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.