Paper Citation Record · LEDGER

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2606.04804.

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

pith.paper-citation-record.v1
2606.04804 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T07:10:10.545344Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T14:41:17.212711Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

18 of 18 outbound references displayed

verified exact3
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 3253020b-e66c-4307-9e1c-8acfc5023f98 · outbound

This paper cites arXiv preprint arXiv:2509.24735 , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems arXiv preprint arXiv:2509.24735 , year=

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.274766Z

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 9cd279d5-f478-49a9-a305-d4a754835566 · outbound

This paper cites Source-Guided Flow Matching.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Source-Guided Flow Matching

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T07:06:44.272556Z

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 954780f7-0189-4ec5-a97e-739c8cd6bad2 · outbound

This paper cites The Fourteenth International Conference on Learning Representations , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems The Fourteenth International Conference on Learning Representations , year=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94d27fb2-129b-4e3a-acf8-400a0645e9ef · outbound

This paper cites International Conference on Learning Representations , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems International Conference on Learning Representations , volume=

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d722dc0-0990-49a7-a683-dc0ab66c8877 · outbound

This paper cites Inverse Problems , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Inverse Problems , volume=

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37e04cf8-001c-47c3-8ffc-2e174d9eb4a2 · outbound

This paper cites 2014 , publisher=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems 2014 , publisher=

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 447de5bf-3fce-44cf-80ab-289bb49537a2 · outbound

This paper cites Proceedings of the National Academy of Sciences , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Proceedings of the National Academy of Sciences , volume=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4c1502d-e709-41f1-ba2e-1ae43326a7a2 · outbound

This paper cites Journal of Scientific Computing , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Journal of Scientific Computing , volume=

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dbebef7-32c5-4add-a0e5-17a6067a0b77 · outbound

This paper cites Proceedings of the IEEE/CVF International Conference on Computer Vision , pages=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Proceedings of the IEEE/CVF International Conference on Computer Vision , pages=

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 806299fd-d12f-4657-b7d0-2af0bab19d21 · outbound

This paper cites Mathematics of computation , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Mathematics of computation , volume=

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85abccc6-a368-45a8-b07e-3568803b3e8d · outbound

This paper cites The Fourteenth International Conference on Learning Representations , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems The Fourteenth International Conference on Learning Representations , year=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0788d2b-0fa2-4003-90ad-d6bb35ab1755 · outbound

This paper cites arXiv preprint arXiv:2602.21469 , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems arXiv preprint arXiv:2602.21469 , year=

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.278252Z

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 64e92546-0d7f-433c-a6b4-e2ae044c32b4 · outbound

This paper cites AI4X 2025 International Conference , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems AI4X 2025 International Conference , year=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42109466-1271-4347-a971-1ccb603ff4d2 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Advances in Neural Information Processing Systems , volume=

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c1675f8-5ac1-417b-8a0d-b2d72355461c · outbound

This paper cites Journal of Computational Physics , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Journal of Computational Physics , volume=

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 241c3c80-25b7-47d0-9827-b14cd6439d88 · outbound

This paper cites Journal of Computational Physics , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Journal of Computational Physics , volume=

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 105070e6-31c2-4672-af58-9fdecc8cf02f · outbound

This paper cites Communications on Pure and Applied Mathematics , volume=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems Communications on Pure and Applied Mathematics , volume=

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T07:10:10.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ab6af92-287a-4ba0-bb65-125e4984fac8 · outbound

This paper cites arXiv preprint arXiv:2510.09534 , year=.

The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems arXiv preprint arXiv:2510.09534 , year=

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.280842Z

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.

Pith citing papers

Observation 87bdf520-ed9f-4f6f-9d9f-d02ff506c1d5 · inbound

Constraint residuals, graph posteriors, and determinant-corrected full-space targets in Bayesian inverse problems cites this paper.

Constraint residuals, graph posteriors, and determinant-corrected full-space targets in Bayesian inverse problems The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-06-28T02:41:32.312287Z

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.