Paper Citation Record · LEDGER

Multipole Graph Neural Operator for Parametric Partial Differential Equations

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2006.09535.

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

pith.paper-citation-record.v1
2006.09535 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:04:29.557029Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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External citation measurements

159
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c09207a3-f632-47df-b466-5496ea964b76 · inbound

MNO : A Multi-modal Neural Operator for Parametric Nonlinear BVPs cites this paper.

MNO : A Multi-modal Neural Operator for Parametric Nonlinear BVPs Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T17:04:29.557029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16221d96-b00c-4982-b5ba-20393110c7e9 · inbound

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning cites this paper.

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-18T16:06:35.182818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52ff3fa1-b952-4cef-bedb-9e8cb2ab2033 · inbound

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation cites this paper.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:52.601491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55d89571-9e86-425f-a4fb-18e8b328902b · inbound

Symplectic Neural Operators for Learning Infinite Dimensional Hamiltonian Systems cites this paper.

Symplectic Neural Operators for Learning Infinite Dimensional Hamiltonian Systems Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-19T19:23:13.029045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 451fd837-a77c-447e-99ab-dfb50bee3640 · inbound

Semigroup Consistency as a Diagnostic for Learned Physics Simulators cites this paper.

Semigroup Consistency as a Diagnostic for Learned Physics Simulators Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:24:00.380979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 741699f7-b658-489b-87f7-b94510be7178 · inbound

HypNO: A Graph-Based Neural Operator with Physics-Informed Message Passing for Hyperbolic Conservation Laws cites this paper.

HypNO: A Graph-Based Neural Operator with Physics-Informed Message Passing for Hyperbolic Conservation Laws Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T07:31:23.429918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.