Paper Citation Record · LEDGER

Geometric Operator Learning with Optimal Transport

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2507.20065.

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

pith.paper-citation-record.v1
2507.20065 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:15:54.455427Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T18:35:59.360815Z

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 cf1bdfde-be26-477e-8244-b6945e2ecee4 · inbound

Latent Dynamics Graph Convolutional Networks for model order reduction of parameterized time-dependent PDEs cites this paper.

Latent Dynamics Graph Convolutional Networks for model order reduction of parameterized time-dependent PDEs Geometric Operator Learning with Optimal Transport

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T10:12:37.037245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 944d6fac-6673-450a-9f1e-4baed7695678 · inbound

Do Neural Operators Forget Geometry? The Forgetting Hypothesis in Deep Operator Learning cites this paper.

Do Neural Operators Forget Geometry? The Forgetting Hypothesis in Deep Operator Learning Geometric Operator Learning with Optimal Transport

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:41:10.896065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6f897818-8177-4bfd-9c09-6ce8befa5656 · inbound

Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale cites this paper.

Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale Geometric Operator Learning with Optimal Transport

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-13T06:27:24.312562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f5dd4fe5-1cf5-484f-99c4-0bdd3e0ad307 · inbound

IKNO: Infinite-order Kernel Neural Operators cites this paper.

IKNO: Infinite-order Kernel Neural Operators Geometric Operator Learning with Optimal Transport

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:46:14.943879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc5f2dbf-89c9-410e-9f1c-712b60861b57 · inbound

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs cites this paper.

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs Geometric Operator Learning with Optimal Transport

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:35:59.362457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 447a0a86-ffc6-4e93-ab43-f7f2fc398272 · inbound

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer cites this paper.

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer Geometric Operator Learning with Optimal Transport

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-01T10:15:44.168038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 92edf15e-4c9f-46e0-9be6-6e072d24577d · inbound

MoNo: Multiscale Optimal Transport Neural Operator for Solving PDEs on General Geometries cites this paper.

MoNo: Multiscale Optimal Transport Neural Operator for Solving PDEs on General Geometries Geometric Operator Learning with Optimal Transport

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-11T11:15:54.455427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.