Paper Citation Record · LEDGER

Geometry-aware LegONet for PDE Learning on Arbitrary Domains

As of 5 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.23069.

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

pith.paper-citation-record.v1
2607.23069 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:46:03.547746Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy0
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0baf7b69-f960-426d-b887-3bc2ae7dd53a · outbound

This paper cites & Spiliopoulos, K.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Spiliopoulos, K

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.146242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1d19dd4-b59d-4a41-9374-6962fcddae26 · outbound

This paper cites & Karniadakis, G.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Karniadakis, G

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.301845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0feed667-b447-4961-b6f5-cdef9097a97d · outbound

This paper cites & Karniadakis, G.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Karniadakis, G

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.366879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 565a29ab-9b08-4375-9d55-a1f43437c5b6 · outbound

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

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Fourier Neural Operator for Parametric Partial Differential Equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.427130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 960444cc-b832-4514-8e9c-6fbd0155ca75 · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.496751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9bcf7ac-84b2-41a6-92d4-f8a3c00a96b9 · outbound

This paper cites & Battaglia, P.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Battaglia, P

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.564919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7a4c064-0794-4c32-9f92-e1e924acea96 · outbound

This paper cites J.Finite Difference Methods for Ordinary and Partial Differential Equations(SIAM, Philadelphia, PA, 2007).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains J.Finite Difference Methods for Ordinary and Partial Differential Equations(SIAM, Philadelphia, PA, 2007)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.629258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d462c351-d989-4ccb-976c-e7dade489875 · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.771253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1afc3b06-1e67-41d7-8097-08a3dcaf4025 · outbound

This paper cites P.Chebyshev and Fourier Spectral MethodsSecond edn (Dover Publications, Mineola, NY, 2001).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains P.Chebyshev and Fourier Spectral MethodsSecond edn (Dover Publications, Mineola, NY, 2001)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.829962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a90dd4d0-2ccf-40a3-a275-ecae6e1bf4e6 · outbound

This paper cites E.et al.Physics-informed machine learning.Nature Reviews Physics3, 422–440 (2021).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains E.et al.Physics-informed machine learning.Nature Reviews Physics3, 422–440 (2021)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.887773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1860ab9-69c1-44c3-874d-711e826787e1 · outbound

This paper cites & Srivastava, A.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Srivastava, A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.904000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8c19fe1-d4f2-4c32-aeab-e38bbef7c31b · outbound

This paper cites A., Ross, Z.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains A., Ross, Z

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:02.972776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11c6ff38-b26a-4576-9e45-7c1f4c4bf960 · outbound

This paper cites Z., Liu, B.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Z., Liu, B

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.035044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c1608c1-ba9f-40ad-be4e-d21757a8736a · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.099002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc6115b1-5a2f-4c28-af18-06854707f74d · outbound

This paper cites Advances in Neural Information Processing Systems36, 35836–35854 (2023).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Advances in Neural Information Processing Systems36, 35836–35854 (2023)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.155895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfa214b-9d8b-4f83-8b3f-0fb84c233677 · outbound

This paper cites Proceedings of Machine Learning Research202, 12556–12569 (2023).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Proceedings of Machine Learning Research202, 12556–12569 (2023)

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.311613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45059cc7-555e-48e0-8513-07df108234a6 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.481953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bad5545c-6ed1-4520-886a-4d75b39f06f5 · outbound

This paper cites & Meidani, H.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Meidani, H

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.509845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd3c6f17-d722-4498-ba36-61343d3f3027 · outbound

This paper cites BENO: Boundary-embedded Neural Operators for Elliptic PDEs.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains BENO: Boundary-embedded Neural Operators for Elliptic PDEs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.512775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8ed92b1-b99a-420b-836b-d23012196493 · outbound

This paper cites Imposing Boundary Conditions on Neural Operators via Learned Function Extensions.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Imposing Boundary Conditions on Neural Operators via Learned Function Extensions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.516269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27307ccf-3ff2-469b-8381-953152ff5899 · outbound

This paper cites & Lin, G.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Lin, G

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.519388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4639aa2-24e7-4d3b-a669-57b5609bcc82 · outbound

This paper cites On the construction and comparison of difference schemes.SIAM Journal on Numerical Analysis5, 506–517 (1968).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains On the construction and comparison of difference schemes.SIAM Journal on Numerical Analysis5, 506–517 (1968)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.522040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18b8abc7-9c52-4d35-8091-b3812419733b · outbound

This paper cites & Wanner, G.Geometric Numerical Integration(Springer, New York, NY, 2006).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains & Wanner, G.Geometric Numerical Integration(Springer, New York, NY, 2006)

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.524752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec493ad8-ba72-4f65-b54c-0dd9342b9eba · outbound

This paper cites L., Proctor, J.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains L., Proctor, J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.527357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffabd04a-a422-47df-9bf9-5a947da1e15f · outbound

This paper cites H., Brunton, S.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains H., Brunton, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.529815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 891281c0-ea6c-4e17-8558-9b22a1b690e8 · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.532463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5792fd03-a956-4630-b1be-542d606f4abe · outbound

This paper cites N.Spectral methods in MATLAB(SIAM, Philadelphia, PA, 2000).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains N.Spectral methods in MATLAB(SIAM, Philadelphia, PA, 2000)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.535063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 536660f8-0684-4e89-9d8c-db16c125e9d8 · outbound

This paper cites Y., Quarteroni, A.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Y., Quarteroni, A

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.537729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36eb5d1b-5562-452c-9d59-dda6d9941761 · outbound

This paper cites 32 (Elsevier, Amsterdam, 2003).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains 32 (Elsevier, Amsterdam, 2003)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.540151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79a7517c-1dfe-4975-a694-38637df601bc · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.542567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff09adab-e354-4867-9629-e163b4bec7ec · outbound

This paper cites an unresolved cited work.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.545078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5531eca2-4fbd-49e5-b063-5b48bf0056cb · outbound

This paper cites Regression shrinkage and selection via the lasso.Journal of the Royal Statistical Society Series B: Statistical Methodology58, 267–288 (1996).

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Regression shrinkage and selection via the lasso.Journal of the Royal Statistical Society Series B: Statistical Methodology58, 267–288 (1996)

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.547746Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.