Paper Citation Record · LEDGER

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.16996.

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

pith.paper-citation-record.v1
2505.16996 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:58:39.213455Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

17 of 17 outbound references displayed

verified exact4
verified fuzzy2
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5bf7787a-c758-49b7-9a44-8c24a5ddcf03 · outbound

This paper cites write newline.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:37.306726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e1c8722-960e-47d1-a4d8-34437e9f817b · outbound

This paper cites Inverse Physics-Informed Neural Networks for transport models in porous materials.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Inverse Physics-Informed Neural Networks for transport models in porous materials

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:58:40.547248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 90a53411-3480-4fbe-becb-380015575169 · outbound

This paper cites Brunton, Joshua L.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Brunton, Joshua L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:37.568196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 108db7de-f6a3-4bd4-ad36-917f431abd39 · outbound

This paper cites an unresolved cited work.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T14:58:39.548911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b9fc329-dd5a-486e-a04d-1a0e07d6ed6f · outbound

This paper cites Kutz, and Steven Brunton.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Kutz, and Steven Brunton

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:37.789056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89a473e5-b04a-4605-be61-b9a1136121c6 · outbound

This paper cites All-in-one simulation-based inference.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations All-in-one simulation-based inference

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:37.926608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 453965a8-81c8-44cf-be95-625fdf05be59 · outbound

This paper cites Neural Operator: Learning Maps Between Function Spaces.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Neural Operator: Learning Maps Between Function Spaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:38.018328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e06c03ea-64e7-46f0-8de8-ee3884c1112c · outbound

This paper cites Lingsch, Dana Grund, Siddhartha Mishra, and Georgios Kissas.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Lingsch, Dana Grund, Siddhartha Mishra, and Georgios Kissas

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:58:41.076677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bc24a50c-bf2d-4c91-8555-3c5168a0a239 · outbound

This paper cites Disentangled Representation Learning for Parametric Partial Differential Equations , October 2024.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Disentangled Representation Learning for Parametric Partial Differential Equations , October 2024

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-07T14:58:40.287341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6b9d97ea-7fde-4187-9777-d6cc715e1060 · outbound

This paper cites Universal Physics - Informed Neural Networks : Symbolic Differential Operator Discovery with Sparse Data.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Universal Physics - Informed Neural Networks : Symbolic Differential Operator Discovery with Sparse Data

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:58:40.783667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 87b82206-e807-4f9f-b8c5-4bdb77258742 · outbound

This paper cites Learning Chemotherapy Drug Action via Universal Physics-Informed Neural Networks.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Learning Chemotherapy Drug Action via Universal Physics-Informed Neural Networks

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:58:39.857283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a17c2c9-5c5b-4ed0-8a09-d411f89e9a43 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Universal Differential Equations for Scientific Machine Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:38.596902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7699f7a0-4fa2-48f5-92d9-c0569149ba26 · outbound

This paper cites Raissi, P.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Raissi, P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:38.733773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ec6c70b-cb5d-4428-82bf-0934cc9e11d2 · outbound

This paper cites Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:38.846061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da64cb28-3d78-47d2-acac-41a18d8617f9 · outbound

This paper cites Physics-Informed Neural Networks and Extensions.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Physics-Informed Neural Networks and Extensions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:38.986515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ad620e0-3caa-4d3e-9380-650c7e10bb3a · outbound

This paper cites Rudy, Steven L.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Rudy, Steven L

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:39.109678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 405db3d5-97f3-45bb-a515-f75c42c58876 · outbound

This paper cites From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T14:58:39.213455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.