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Paper Citation Record · LEDGER

PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2210.07182.

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

pith.paper-citation-record.v1
2210.07182 v7

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:38:51.152380Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T03:09:30.472837Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 15c22532-75c4-4a16-bda8-89beeff7e069 · inbound

Tensor Network Structure Search Via Canonical Dimension Tree Enumeration cites this paper.

Tensor Network Structure Search Via Canonical Dimension Tree Enumeration PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-09T11:38:51.152380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T11:38:51.152380Z digest=sha256:b0363c014b5ba67ea00175a2c17007e343d1c1133112c7e71c69d283c62af88f

Observation e0f6a752-460b-42e6-bc87-9860899c05b8 · inbound

Hierarchical Implicit Neural Emulators cites this paper.

Hierarchical Implicit Neural Emulators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.760233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.760233Z digest=sha256:556c61165b8da90cd7defcf31f85c1c397545f97214bba8c17f7293db2d5e921

Observation b8d63dab-d4b0-4aa2-bca7-8798b95edcbb · inbound

Modeling turbulent and self-gravitating fluids with Fourier neural operators cites this paper.

Modeling turbulent and self-gravitating fluids with Fourier neural operators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:04.871043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T10:46:04.871043Z digest=sha256:87c81c2a93dcddab926093c256a12bcd68ae1f54add177932a179375a9c8daf5

Observation ad6de6ae-19ec-465a-be0a-aba741fde0d5 · inbound

Flow marching for a generative PDE foundation model cites this paper.

Flow marching for a generative PDE foundation model PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.485863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:8fe27829f77e5c481468d7563322a734c268b8fda3adafaac0ad06166667a101

Observation 4ff005b7-0a34-442e-8344-eae7d40e3a71 · inbound

Walrus: A Cross-Domain Foundation Model for Continuum Dynamics cites this paper.

Walrus: A Cross-Domain Foundation Model for Continuum Dynamics PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 2024

Resolution
malformed identifier
no resolver link, observed 2026-08-03T21:23:18.909389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:23:18.909389Z digest=sha256:49767860da8c149434caeb2532d09d1c4844c14830750ceb53bbbba9a137db87

Observation b2a56a1c-bac6-43c1-b22c-2fb914cca4a7 · inbound

Data assimilation via model reference adaptation for linear and nonlinear dynamical systems cites this paper.

Data assimilation via model reference adaptation for linear and nonlinear dynamical systems PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-03T01:00:00.354142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:00:00.354142Z digest=sha256:77148c9d892174d85ba82b2e548a12b98cd1c0dc974c08606832d66937157704

Observation 78a42b2f-96d7-456b-b619-6a009e665c3c · inbound

Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations cites this paper.

Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-10T08:12:26.554188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T08:11:08.769850Z digest=sha256:ca266dc8ef296c58e4519d416b1d8b4a3b72bb40c56319fc643f75337402c72c

Observation 753c4070-a946-42fd-9a35-6837edf83aec · inbound

Mechanism Learning: Prototype-Anchored Mechanism Inference for Scientific Forecasting cites this paper.

Mechanism Learning: Prototype-Anchored Mechanism Inference for Scientific Forecasting PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-20T15:28:25.583174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T15:24:37.958002Z digest=sha256:eaabdc21aa6a55956786be9aeb2ddebd78fc0e168e160dcac172dbaa63233ed2

Observation 57334431-1da5-49a2-b14b-5acce9a20456 · inbound

ELADO: Elliptic PDE Assessment Datasets for Operator Learning cites this paper.

ELADO: Elliptic PDE Assessment Datasets for Operator Learning PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-04T03:09:30.474788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-26T18:20:00.248849Z digest=sha256:1b1b870828876ef0b11de63c569332a4d469442dbd802d2261b99d157265bdec

Observation 1dac649e-c87a-4fff-936f-a4460f0f3996 · inbound

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators cites this paper.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-02T02:17:10.991634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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