Paper Citation Record · LEDGER

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions

As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2602.04923.

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

pith.paper-citation-record.v1
2602.04923 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T07:10:54.265344Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:46:03.516269Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-29T22:24:00.362857Z

Reference resolution

37 of 37 outbound references displayed

verified exact7
verified fuzzy17
unresolved11
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f8e3f89-6b03-46d8-8155-28c76d67dec6 · outbound

This paper cites Alkin, A.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Alkin, A

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-05-16T07:12:30.232378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation af346ea9-dfae-479a-b7de-6d55a7c4979f · outbound

This paper cites Layer Normalization.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Layer Normalization

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-05-16T07:12:30.038321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e543f275-6aa7-4f66-b2ed-251de8961bf1 · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.224100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0e045589-9fae-49cc-8fdb-710fd9a864ff · outbound

This paper cites Bartolucci, E.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Bartolucci, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.277956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3a065572-88f9-4594-82ed-71a0b742693b · outbound

This paper cites Brandstetter, D.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Brandstetter, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.216513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c5ec19b5-ff28-45ff-a02b-d8cc6dbe725a · outbound

This paper cites High-Performance Large-Scale Image Recognition Without Normalization.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions High-Performance Large-Scale Image Recognition Without Normalization

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:12:30.041431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e9cb654a-69e7-430a-b790-55d25cc34bfc · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.208870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e37e65ff-bd57-477c-9961-52c3f4ab4dcb · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.211529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1af73dc0-8c47-4e34-812d-24af9b6ad447 · outbound

This paper cites Gmsh.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Gmsh

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.206763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4ed5d271-edc2-4259-b46b-ab1a022c56ed · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.226495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e5e90a3c-6f7b-41d0-b797-e8a7325a8edc · outbound

This paper cites Herde, B.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Herde, B

Reference 12

Resolution: verified exact; doi, observed 2026-05-16T07:12:29.921962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5775d908-84d9-480b-a7cf-3c4ea9f5c0d7 · outbound

This paper cites Horie and N.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Horie and N

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.280336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cb02cc87-9468-420e-a485-ff87c23b7933 · outbound

This paper cites Scaling Laws for Neural Language Models.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Scaling Laws for Neural Language Models

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-05-16T07:12:30.050874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2e8321d9-7ad4-46f5-b3db-95a86733353b · outbound

This paper cites Kashi, A.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Kashi, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.282613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 611a624f-62fa-49fb-b510-76895dd3a3bb · outbound

This paper cites Kovachki, Z.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Kovachki, Z

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.264149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 32bc541c-2e33-4bc4-9e43-c5233fb113e1 · outbound

This paper cites Lanthaler, S.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Lanthaler, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.271189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 82348b0a-9ae1-44f7-b2e1-b02f3a5d8798 · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.266569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4f7ed56f-9c49-480d-bf77-f5734bfdcb36 · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.275734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4644c243-cf82-4bd8-87cb-e761ef1c3a7f · outbound

This paper cites SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:12:30.047954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ba1d3fe7-e14c-47d5-b170-c260c8014b54 · outbound

This paper cites Loshchilov and F.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Loshchilov and F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.257328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ed5d2e48-c6ef-4b48-8f8d-bc8d82b19b49 · outbound

This paper cites Lötzsch, S.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Lötzsch, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.259553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 32d862ec-457c-4e1b-aa8e-ea210af3adef · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.221508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ebb6ff5c-1b05-4251-8071-5f973b640150 · outbound

This paper cites McCabe, B.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions McCabe, B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.218985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1fef3a2c-baef-4720-8df4-032b70ea8256 · outbound

This paper cites Mishra and A.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Mishra and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.249105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f5e5415c-dad1-48c7-9e3b-a2745f4b8f2f · outbound

This paper cites Mousavi, S.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Mousavi, S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.254682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3a703927-5700-4f25-8178-740b747532ba · outbound

This paper cites Pfaff, M.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Pfaff, M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.251955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30a5543b-66f3-4461-9bba-ffeae302bace · outbound

This paper cites Quarteroni, A.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Quarteroni, A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.261827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5fb5e5a1-39ca-4577-aa4c-58cbc2b63138 · outbound

This paper cites Searching for Activation Functions.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Searching for Activation Functions

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-05-16T07:12:30.044532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0bac9d2a-5886-44bf-9aaf-7b3c4fcacfc8 · outbound

This paper cites Raonic, R.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Raonic, R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.242960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01b0b586-cce3-410b-a9a8-56959796519b · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.239620Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation df18b4bc-d892-4140-bf5d-97250278fc1e · outbound

This paper cites Sanchez-Gonzalez, J.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Sanchez-Gonzalez, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.246216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 55b856ba-e35f-431d-a0e3-da79ad154095 · outbound

This paper cites Subramanian, P.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Subramanian, P

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T07:12:30.269000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7d0a2541-e43e-4e11-ae8d-3b9807512548 · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.273554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2e81d2f7-eea0-4b4c-a202-971143e4ff47 · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.235793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 492a952a-1cb0-4636-9a53-5c4d5193ad4d · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-05-16T07:12:30.229068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 65f9c8d3-d60c-4443-8319-870ed929226a · outbound

This paper cites an unresolved cited work.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions Unresolved cited work

Reference 37

Resolution: verified exact; doi, observed 2026-05-16T07:12:29.919967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb45c1e6-59d5-4cb6-95a6-5d140be7c927 · outbound

This paper cites The masking procedure in described in detail in Appendix E.

Imposing Boundary Conditions on Neural Operators via Learned Function Extensions The masking procedure in described in detail in Appendix E

Reference 38

Resolution: malformed identifier; raw_fallback, observed 2026-05-16T07:12:30.214048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 16a5f6e9-0130-47f3-8546-6a4998cc0fe0 · inbound

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

Semigroup Consistency as a Diagnostic for Learned Physics Simulators Imposing Boundary Conditions on Neural Operators via Learned Function Extensions

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-06-29T22:24:00.364608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Geometry-aware LegONet for PDE Learning on Arbitrary Domains cites this paper.

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.