Paper Citation Record · LEDGER

Graph-Based Operator Learning from Limited Data on Irregular Domains

As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2505.18923.

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

pith.paper-citation-record.v1
2505.18923 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:44.093535Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T14:43:03.403254Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T18:41:10.912217Z

Reference resolution

36 of 36 outbound references displayed

verified exact9
verified fuzzy3
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80fc4716-4bfd-4051-9af0-6bad4747fb98 · outbound

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

Graph-Based Operator Learning from Limited Data on Irregular Domains Fourier Neural Operator for Parametric Partial Differential Equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.387570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bca00269-20f7-426f-8107-033a7c828eb6 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Graph-Based Operator Learning from Limited Data on Irregular Domains DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.427248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 994c96ea-35d5-408f-a1a5-ed89b0ddb70d · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.500027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8972c031-f604-46c9-a280-10477a6fd08a · outbound

This paper cites Physics-Informed Neural Operator for Learning Partial Differential Equations.

Graph-Based Operator Learning from Limited Data on Irregular Domains Physics-Informed Neural Operator for Learning Partial Differential Equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.604629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ecac242-2da3-4f18-a9d5-1c7ada45bdfb · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Graph-Based Operator Learning from Limited Data on Irregular Domains Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.689595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6adc4fa5-8ddd-4433-becd-c6f7e43e898a · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.714224Z

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 2f5829f1-2336-4287-8223-715ed610c9fc · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.698426Z

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 6cd57cef-1eea-4213-a4a1-d151f9edd612 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.682440Z

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 8a414195-f4ba-4ea0-ab42-1dada8277a3e · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.667312Z

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 f3d57312-966b-49cf-bc32-0dcf7a140223 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.652711Z

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 74c10c36-f4f1-4874-b211-58d8e056f597 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.637588Z

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 2d5cead8-eb51-4ebc-a10f-010052995be1 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.621140Z

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 8dcb79a7-17ab-4744-bca3-ba45bd447737 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.606058Z

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 5ea57a2f-b817-496d-ae61-01341d2b1957 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.590294Z

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 0676d2e8-422e-4c89-abe9-2fd70e369b8c · outbound

This paper cites Instruction-driven history-aware policies for robotic manipulations.

Graph-Based Operator Learning from Limited Data on Irregular Domains Instruction-driven history-aware policies for robotic manipulations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:43.576218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90d1f7cd-7aa8-41e3-b4a8-35320193ce84 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.573837Z

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 c434640d-1a83-40fc-9a7a-759e62950f6d · outbound

This paper cites Vehicle Teleoperation: Performance Assessment of SRPT Approach Under State Estimation Errors.

Graph-Based Operator Learning from Limited Data on Irregular Domains Vehicle Teleoperation: Performance Assessment of SRPT Approach Under State Estimation Errors

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.398913Z

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 5f047820-4839-4ab4-9012-4b3beca3a3c4 · outbound

This paper cites Ion temperature gradient mode mitigation by energetic particles, mediated by forced-driven zonal flows.

Graph-Based Operator Learning from Limited Data on Irregular Domains Ion temperature gradient mode mitigation by energetic particles, mediated by forced-driven zonal flows

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.375359Z

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 818f24f9-9339-42c3-ba26-087e0f3b31ad · outbound

This paper cites The role of hydrodynamics for the spatial distribution of high-temperature hydrothermal vent-endemic fauna in the deep ocean environment.

Graph-Based Operator Learning from Limited Data on Irregular Domains The role of hydrodynamics for the spatial distribution of high-temperature hydrothermal vent-endemic fauna in the deep ocean environment

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.354698Z

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 4419ea7a-ccb0-4c24-a047-f74eeb8354f4 · outbound

This paper cites B., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A.

Graph-Based Operator Learning from Limited Data on Irregular Domains B., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:27:44.556019Z

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 18342d5c-eb7b-46cc-a6a3-1a5c4902a9f8 · outbound

This paper cites Arp 220: New Observational Insights into the Structure and Kinematics of the Nuclear Molecular Disks and Surrounding Gas.

Graph-Based Operator Learning from Limited Data on Irregular Domains Arp 220: New Observational Insights into the Structure and Kinematics of the Nuclear Molecular Disks and Surrounding Gas

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.332731Z

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 2828eaaa-109b-4538-bca9-50eb4db0487e · outbound

This paper cites On the parameterized complexity of computing tree-partitions.

Graph-Based Operator Learning from Limited Data on Irregular Domains On the parameterized complexity of computing tree-partitions

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.311483Z

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 d0d7a6d1-484e-4586-9881-4354eadc8e2d · outbound

This paper cites On long waves and solitons in particle lattices with forces of infinite range.

Graph-Based Operator Learning from Limited Data on Irregular Domains On long waves and solitons in particle lattices with forces of infinite range

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.289980Z

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 9ad45c2b-c142-4d8d-b026-c6e1ae705635 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.540032Z

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 e7cdb6bb-0e94-4862-83f6-b41256a71816 · outbound

This paper cites F., Preciado, V.

Graph-Based Operator Learning from Limited Data on Irregular Domains F., Preciado, V

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:27:44.524492Z

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 64f811a1-52f7-4c9c-ac0a-6f9085ac155b · outbound

This paper cites and Townsend, A.

Graph-Based Operator Learning from Limited Data on Irregular Domains and Townsend, A

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.046334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9391c0e-8d33-48ce-995d-ad5ca81337a8 · outbound

This paper cites Equivariant Graph Neural Operator for Modeling 3D Dynamics.

Graph-Based Operator Learning from Limited Data on Irregular Domains Equivariant Graph Neural Operator for Modeling 3D Dynamics

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.050866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdd39207-270b-41fe-8359-b4262ae144ce · outbound

This paper cites and Gu, G.

Graph-Based Operator Learning from Limited Data on Irregular Domains and Gu, G

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T14:27:44.145128Z

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 0bc13743-0b29-4af2-89b4-88e7648a17c8 · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.060581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9b30324-cf78-4ab6-8aac-fa472d4c86dd · outbound

This paper cites Operator Learning: Algorithms and Analysis.

Graph-Based Operator Learning from Limited Data on Irregular Domains Operator Learning: Algorithms and Analysis

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.064959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8acbcd3f-1dde-4d6d-840c-cc04984f5785 · outbound

This paper cites A Mathematical Guide to Operator Learning.

Graph-Based Operator Learning from Limited Data on Irregular Domains A Mathematical Guide to Operator Learning

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.069257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59382a6e-aba6-4ea1-af08-7601aa9b4afb · outbound

This paper cites Operator Learning Using Random Features: A Tool for Scientific Computing.

Graph-Based Operator Learning from Limited Data on Irregular Domains Operator Learning Using Random Features: A Tool for Scientific Computing

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.218594Z

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 7ca1f551-3360-48bc-90b9-9335c3480c68 · outbound

This paper cites Cauchy Random Features for Operator Learning in Sobolev Space.

Graph-Based Operator Learning from Limited Data on Irregular Domains Cauchy Random Features for Operator Learning in Sobolev Space

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:27:44.194852Z

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 dc8ff351-e03c-4001-87bc-5a0ed9a63172 · outbound

This paper cites Kernel Methods are Competitive for Operator Learning.

Graph-Based Operator Learning from Limited Data on Irregular Domains Kernel Methods are Competitive for Operator Learning

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.083624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 155cb7b4-c944-45fe-a60a-737ae0d561be · outbound

This paper cites an unresolved cited work.

Graph-Based Operator Learning from Limited Data on Irregular Domains Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:27:44.508601Z

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 b9cdb1ea-c068-4df8-80de-30a49150bc44 · outbound

This paper cites L., Lenssen, J.

Graph-Based Operator Learning from Limited Data on Irregular Domains L., Lenssen, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:27:44.493457Z

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 580429a0-3112-4b27-aca8-d10175fd907d · 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 Graph-Based Operator Learning from Limited Data on Irregular Domains

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:41:10.938351Z

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.