Paper Citation Record · LEDGER

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks

As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2506.17908.

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

pith.paper-citation-record.v1
2506.17908 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:25:17.808864Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T13:41:02.555024Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy12
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2aa69276-898f-42f2-bd49-10de2d8ef437 · outbound

This paper cites Hawking , On the Shoulders of Giants: The Great Works of Physics and Astronomy, Running, 2004, Philadelphia, Pa.; London.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Hawking , On the Shoulders of Giants: The Great Works of Physics and Astronomy, Running, 2004, Philadelphia, Pa.; London

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.434216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f90b39e-e78f-4941-9d3f-69cb7ecf6d61 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.416573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 32c89b3d-287f-4275-8e49-e46c31f46a1e · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.399406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b9dba035-d5f4-46cd-a936-27aca47a8f50 · outbound

This paper cites Champion, B.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Champion, B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.382877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b807c6ad-cd40-46d7-b476-f226a0acf011 · outbound

This paper cites Kaheman, J.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Kaheman, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.367570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6ea29575-ad58-492c-a785-4c77cef13aae · outbound

This paper cites Zhang, H.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Zhang, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.350631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3ca22c39-6fb0-4457-8d25-f63932bc52c7 · outbound

This paper cites Entanglement and classical fluctuations at finite-temperature critical points.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Entanglement and classical fluctuations at finite-temperature critical points

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:25:17.909712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c25abd75-95d4-4aa7-bd81-5a3475c1feb8 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.333977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 52671af2-b7b6-43f2-b11e-d6d1b903171d · outbound

This paper cites Schaeffer, G.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Schaeffer, G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.317787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8d2d7315-22ef-4a6a-961f-4d1b0cf13e86 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.300964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 558ac843-c3de-4392-b5b8-6c3008bbd6ae · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.284914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 159a7967-c155-4378-b723-f0e9577ef816 · outbound

This paper cites Bongard, H.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Bongard, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.268327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 507e546b-be7b-4cdc-80ff-375efdba9030 · outbound

This paper cites Direct Reconstruction of Linear Parametric Images from Dynamic PET Using Nonlocal Deep Image Prior.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Direct Reconstruction of Linear Parametric Images from Dynamic PET Using Nonlocal Deep Image Prior

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:25:17.883920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e8c34770-7ad4-4041-b7a3-511db8d32abd · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.252367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1558f9fa-00f4-43aa-ba73-35dc0109f5ea · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.236053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9481d774-845a-43ca-a4a7-0b345d97b406 · outbound

This paper cites De Florio, I.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks De Florio, I

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.219695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c4df993-1999-4bfa-a512-e3e8cbdc17c0 · outbound

This paper cites Raissi, P.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Raissi, P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.203707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 012569cf-1270-4a55-b4d3-c03de1cf8c40 · outbound

This paper cites Raissi, G.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Raissi, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.186909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6b41b2ae-24d1-4d15-8ef4-9d240cc38d5c · outbound

This paper cites Raissi, G.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Raissi, G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.168957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9d469d7a-23d2-4f3e-9263-27f14a123bdc · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.152243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 99fc35bb-d3f8-4a7a-831e-e4bcb277b5be · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.136132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b7f5cfc-da34-49de-8a64-37e3e27e9536 · outbound

This paper cites Mardt, Y.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Mardt, Y

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.120056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 738788e6-b0b1-42f6-8228-b63d5191bdff · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.104170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 047f82e2-733b-464b-8d88-ae5a20ccd26f · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.087410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 604db7cd-67f1-4a14-8293-6da0cd80facc · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.071554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a0e60a3a-6079-448d-9cd1-ed83d71ddc7f · outbound

This paper cites Mardt, Y.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Mardt, Y

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:25:18.054069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dccc35d2-0c41-4414-9f9a-cfa604b0713d · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.033714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0af4e758-d483-450d-a5e2-f2b2bb7a64ae · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:18.015099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff489e3a-9400-4915-9e03-4c40002619b6 · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bec8f76-2e91-4d01-81a0-a1515ecbbabd · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:17.996919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bf0710ec-f04d-4ed5-9c04-a23b9e0ba513 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:17.978235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c840991d-2792-4004-9bda-69cd59601690 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:17.961715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ad2a47b3-6f06-419a-a038-7f84fef453b6 · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:17.944841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a5e97cc-330c-44f4-86e9-e6d5b03c1eed · outbound

This paper cites an unresolved cited work.

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:25:17.927696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation c2936c9d-896e-46ea-9d4c-dd8c892b2ec5 · inbound

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement cites this paper.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Robust PDE discovery under sparse and highly noisy conditions via attention neural networks

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-30T13:41:02.555024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.