Paper Citation Record · LEDGER

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2412.05719.

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

pith.paper-citation-record.v1
2412.05719 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:30:13.271001Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:18:24.365146Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy1
unresolved11
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 08bc5611-e902-49bb-8117-e2075370c2df · outbound

This paper cites & Martín, A.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Martín, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.192633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae275917-0b33-4eff-841f-694d59504881 · outbound

This paper cites & Demirdži´c, I.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Demirdži´c, I

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.198553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c370fb63-c37b-497d-b905-6e8f2854bae3 · outbound

This paper cites an unresolved cited work.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs Unresolved cited work

Reference 3

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T20:30:13.418291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9e178e18-2aff-4d04-bb76-cba28c8bcc52 · outbound

This paper cites & Néron, D.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Néron, D

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-11T20:30:13.213782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a003360-2fc6-45b0-8726-6c5783412f1c · outbound

This paper cites & Genet, M.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Genet, M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.219225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b684b514-ab6c-4b86-83d2-c7d5834eea86 · outbound

This paper cites & Remacle, J.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Remacle, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.229851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4db28a2-d579-4269-a429-5cb008797630 · outbound

This paper cites K., Li, S.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs K., Li, S

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-11T20:30:13.234567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 794855d7-1ff6-4a66-8d24-cbebe40248d4 · outbound

This paper cites & Gravouil, A.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Gravouil, A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.239282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b25bb830-503e-4c60-abcc-4cfac7002b17 · outbound

This paper cites & Rønquist, E.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Rønquist, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.244211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe55d2c4-f8a0-46fc-9779-2224d4a4a6ee · outbound

This paper cites & Relun, N.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Relun, N

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.248813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35ed8213-5c49-4938-ba30-2a45177592ad · outbound

This paper cites an unresolved cited work.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.208471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24ed2565-6545-48f4-9a17-d6c4f7edf010 · outbound

This paper cites an unresolved cited work.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-11T20:30:13.374531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6670334c-773b-4938-ab97-01105df0a76e · outbound

This paper cites & Chinesta, F.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Chinesta, F

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.253397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffd9507f-ca03-4de6-b3da-eba7cc80e5a0 · outbound

This paper cites an unresolved cited work.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.257790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da3958fb-1851-4b48-9ca1-2bc5d58293b3 · outbound

This paper cites & Karniadakis, G.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Karniadakis, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T20:30:13.262191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7d7cc21-9c50-48b7-8ff2-6b401b52408c · outbound

This paper cites & Genet, M.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Genet, M

Reference 18

Resolution: malformed identifier; no resolver link, observed 2026-08-11T20:30:13.266599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a8f857c-e3a4-4c6d-8bc9-f10198f95884 · outbound

This paper cites & Srivastava, A.

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs & Srivastava, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:30:13.443494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 101c6441-c7d3-4dd3-9bcf-92e2bc3ba5dc · inbound

Convex Neural Energy Elements: Monolithic Finite-Element Assembly of Geometry-Parameterized Neural Operators with Stability and Error Guarantees cites this paper.

Convex Neural Energy Elements: Monolithic Finite-Element Assembly of Geometry-Parameterized Neural Operators with Stability and Error Guarantees Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T16:18:24.365146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.