Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:25:17.808864Z
Paper Citation Record · LEDGER
Robust PDE discovery under sparse and highly noisy conditions via attention neural networks
As of 20 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-30T13:41:02.555024Z
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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T23:25:17.784797Z
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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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.