Paper Citation Record · LEDGER

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains

As of 5 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2604.04061.

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

pith.paper-citation-record.v1
2604.04061 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T11:26:17.627449Z

measured 40 of 40 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

40 of 40 outbound references displayed

verified exact0
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f491057d-e943-490f-a8c9-3f7eaa875766 · outbound

This paper cites Wang and Venkat Srinivasan,Computational battery dynamics (CBD)—electrochemical/thermal coupled modeling and multi-scale mod- eling, Journal of power sources, vol.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Wang and Venkat Srinivasan,Computational battery dynamics (CBD)—electrochemical/thermal coupled modeling and multi-scale mod- eling, Journal of power sources, vol

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 040c7b6c-8676-46ce-9e1c-5c4b609f93ad · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c14c3e1d-9640-4b32-9016-be8c33de7ed2 · outbound

This paper cites 14, 2025.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains 14, 2025

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7484c8a-a3a6-4ef9-98c5-9e33b23b6c37 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7f8d675-8182-4426-a881-5216a5285d5d · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70e615d4-935b-4434-811c-34e933c18cf4 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f9ad94-a39c-497f-a3d9-f3b970d4e3ed · outbound

This paper cites Media, vol.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Media, vol

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation badfc62a-1a2c-4f82-bd88-c345cc6def7b · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7c16e58-f864-40b5-be0e-b7fed5ac96c3 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 812d8c59-fa55-4c02-9e92-03faf5e66c0f · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38a4d9db-58bf-4834-b6f1-b5f2454d22e6 · outbound

This paper cites 213–277, 1974.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains 213–277, 1974

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cd90da2-c490-4ab5-8125-50ae73585a42 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91abec83-02ab-410a-b2e2-1ff31c026729 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac7c31c6-a45a-4013-b0a8-715b149709d8 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c10b2dba-00eb-47b0-9ed0-9ece6b1c422e · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c887b031-e37d-4ac5-9ded-f3d9313e601f · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3781180f-732b-4dcc-a3a6-22a021964c4d · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 564533c1-8a06-4b58-8657-aab8ace6d0dc · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c71f71ba-3a31-43f9-9c3c-619e8d81c15a · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 855a8992-99f4-4ec6-883b-5d3085739999 · outbound

This paper cites 2018, no.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains 2018, no

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c372119a-08b9-4427-8a8d-ad844d6de3be · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b5621f-1330-4179-b4c4-13f199a3b8d4 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09f4b676-e0d0-4b64-b253-6e1735355be0 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58b79b9-c2b5-478b-890d-d4b871b12f2f · outbound

This paper cites A deformation-based framework for learning solution mappings of PDEs defined on varying domains.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains A deformation-based framework for learning solution mappings of PDEs defined on varying domains

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86460600-7e13-489d-9d66-5cf9d0d009c7 · outbound

This paper cites DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99c85571-8cc9-4382-8eae-aa5859688037 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64fd2fc4-09ba-4654-a686-4668a2044078 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82a6d915-bd04-4cf8-98e8-1370178e59a6 · outbound

This paper cites 60–72, 2024.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains 60–72, 2024

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf1ebe59-6fe9-4d3b-aff9-3e8572900b89 · outbound

This paper cites Physics-Informed Tailored Finite Point Operator Network for Parametric Interface Problems.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Physics-Informed Tailored Finite Point Operator Network for Parametric Interface Problems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9d69648-824f-4399-a601-dfe1b3c01050 · outbound

This paper cites Part I: Shape differ- entiability of pseudo-homogeneous boundary integral operators, Integral Equations and Operator Theory, vol.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Part I: Shape differ- entiability of pseudo-homogeneous boundary integral operators, Integral Equations and Operator Theory, vol

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17e5f5d8-d70b-4a79-bd8a-21996dd5e13b · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33f5fbb2-6d32-4896-aa4c-f63699e67ac1 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f517bf6-6c8e-45de-a1f8-49885f506629 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3b9bd61-33a9-4404-84c9-8db53055add4 · outbound

This paper cites Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cdf4609-078e-4262-a62b-4634fc707d0c · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aae127a-4552-43da-94ec-fc322fcf2264 · outbound

This paper cites Distributed physics informed neural network for data-efficient solution to partial differential equations.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Distributed physics informed neural network for data-efficient solution to partial differential equations

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d7c7a5f-1f20-4649-9574-d5eff40ee912 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b868078-b300-4757-9b27-69009b234040 · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54f2d349-3e55-4274-aec0-b70cc28e3950 · outbound

This paper cites 269–286, 2020.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains 269–286, 2020

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7762e012-1692-452b-82ed-2831ad3087db · outbound

This paper cites an unresolved cited work.

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-13T11:26:17.627449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.