Paper Citation Record · LEDGER

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs

As of 4 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.18511.

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

pith.paper-citation-record.v1
2505.18511 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T01:47:23.863510Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T19:38:41.569416Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T19:47:18.903049Z

Reference resolution

21 of 21 outbound references displayed

verified exact2
verified fuzzy10
unresolved8
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5a39b10f-7e41-467b-b983-b918b56709f8 · outbound

This paper cites Bahouri, J.-Y.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Bahouri, J.-Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.234682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 12c5f183-3315-40fa-9f26-b026307e4e70 · outbound

This paper cites Chevyrev, A.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Chevyrev, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.232611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation c3a14ae3-0745-4c6b-8091-118c139e5697 · outbound

This paper cites Da Prato and J.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Da Prato and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.230600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation d6b26c9e-55df-4370-aceb-c21766e51652 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.228580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5a87132d-5758-4410-87b3-52f4e451daa7 · outbound

This paper cites Gubinelli and M.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Gubinelli and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.226713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 81be2b6a-53d5-4871-a252-1ac5ccfdd8b3 · outbound

This paper cites Gubinelli, P.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Gubinelli, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.224915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation af12ba71-8fc8-46d7-9486-176fb51a2e53 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.223036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ff578f06-4279-489e-bda0-25e28fc0e625 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.221095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 71cf2819-460a-4894-a1de-4c6ba32d8aae · outbound

This paper cites Kidger, J.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Kidger, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.219030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ee1862c1-bb2d-4ead-9613-c311be60d173 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.216970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 025b8c9a-9dca-45ec-9d61-392731efe6b8 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-22T01:50:54.704521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation db59416e-4baa-49f0-8bcb-c5dcf2ad3c32 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.215009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation e63c2292-7428-41c2-a660-a7b3c9bf6704 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.212786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 1045e976-9d20-431e-a78e-6e76678586f6 · outbound

This paper cites Morrill, C.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Morrill, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.210597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 879eccce-0fce-4fa3-82c2-eceb87a88a8d · outbound

This paper cites Neufeld and P.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Neufeld and P

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-22T01:50:54.708641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation d6e9928d-ccd8-40a0-b378-7f50630ea3a0 · outbound

This paper cites Salvi, M.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Salvi, M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.208332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a8ff5ca9-e9fa-47da-811c-4c7ec2f99e3f · outbound

This paper cites SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.206008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation d1558a9e-847b-4596-985e-99734fc488e0 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 18

Resolution: parse uncertain; raw_fallback, observed 2026-05-22T01:54:32.203606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 623072a9-f141-4c05-9c88-bb9b39a68561 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.201326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 27fe2020-a6de-4f6f-81b2-2fa3115f7e95 · outbound

This paper cites an unresolved cited work.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-22T01:54:32.199097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation b90df559-0d00-4b1d-b608-4d3ac04674f0 · outbound

This paper cites /Phi42+_expl_xi_eps_2_1200.parquet.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs /Phi42+_expl_xi_eps_2_1200.parquet

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T01:54:32.196516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Pith citing papers

Observation b2d16d2d-b451-4b99-b853-b85f3d101096 · inbound

TRIE: An Evaluation Framework for Stochastic PDE Surrogates cites this paper.

TRIE: An Evaluation Framework for Stochastic PDE Surrogates SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-07-02T19:47:18.904613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.