Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:39:25.663355Z
Paper Citation Record · LEDGER
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 4 inbound Pith citation observations for arXiv:2509.00455.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T05:08:35.176561Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T06:40:42.178880Z
Reference resolution
38 of 38 outbound references displayed
- verified exact2
- verified fuzzy28
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5f866eef-ff31-46de-8cad-c8ceffe3e7b6 · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:34.955556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 528cd562-212a-46b2-841f-f8916afd3290 · outbound
This paper cites Symmetry theorems related to P ompeiu's problem.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Symmetry theorems related to P ompeiu's problem
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:34.686024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4f42464b-1d20-4121-8305-b011f8d9b059 · outbound
This paper cites An inverse spectral theorem and its relation to the P ompeiu problem.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane An inverse spectral theorem and its relation to the P ompeiu problem
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:34.415714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4f4d7d17-5e82-492b-b825-ee083d198e7c · outbound
This paper cites Schreiber, and B.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Schreiber, and B
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:39:20.673633Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 325d566f-fc40-4ff8-ace5-3512f9c85fa4 · outbound
This paper cites Analytic theory of global bifurcation.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Analytic theory of global bifurcation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:34.204832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5ebf7f48-1c40-4b09-a1d3-be0187ed1c75 · outbound
This paper cites Berenstein and P.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Berenstein and P
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:34.019338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 09ef2912-dab2-4849-90d7-a355194e4179 · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:33.790773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 78c31293-bea5-4cd6-8f0e-fa1a6f8677bc · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:33.560000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 49438743-8e35-4e11-8037-daf658f98703 · outbound
This paper cites Crandall and Paul H.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Crandall and Paul H
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:33.412613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b1ac2561-5c6f-4249-8b22-fe5ff9b007ff · outbound
This paper cites Local overdetermined linear elliptic problems in L ipschitz domains with solutions changing sign.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Local overdetermined linear elliptic problems in L ipschitz domains with solutions changing sign
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:33.204886Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8b8e9d51-1ac5-4482-afd9-875b56d001da · outbound
This paper cites An overdetermined problem for an elliptic equation.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane An overdetermined problem for an elliptic equation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:32.973587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c98aa433-67a0-4c14-8d3a-0674cff86af2 · outbound
This paper cites An overdetermined problem for the H elmholtz equation.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane An overdetermined problem for the H elmholtz equation
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:32.627325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 90e052ef-2e47-45be-afe3-5c9371eeb196 · outbound
This paper cites Some results on the S chiffer conjecture in R^2.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Some results on the S chiffer conjecture in R^2
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:32.454495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d0b7214f-9d3f-44bb-a8ff-70eae20c66b4 · outbound
This paper cites de la Llave and R.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane de la Llave and R
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:32.142000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 16a986ba-b5b9-4812-a1c4-336ad6c8be16 · outbound
This paper cites Sign-changing solution for an overdetermined elliptic problem on unbounded domain.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Sign-changing solution for an overdetermined elliptic problem on unbounded domain
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:31.922676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 712132c6-7d2d-4172-9872-242950389d4b · outbound
This paper cites Fern\'andez, David Ruiz, and Pieralberto Sicbaldi.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Fern\'andez, David Ruiz, and Pieralberto Sicbaldi
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:31.762609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 051570e8-5d59-4605-ba8c-64cf7578c710 · outbound
This paper cites The S chiffer problem on the cylinder and on the 2-sphere.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane The S chiffer problem on the cylinder and on the 2-sphere
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:31.478720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 72802c69-7d69-452a-b385-ee02b1c8b791 · outbound
This paper cites o rg Kielh\.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane o rg Kielh\
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:31.230762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4f9bc8e8-de50-49a4-b4c1-f3e96741474c · outbound
This paper cites Some results related to S chiffer's problem.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Some results related to S chiffer's problem
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:30.994838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3bdfbf53-ed80-4e63-b75d-444aea3f0319 · outbound
This paper cites Kinderlehrer and L.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Kinderlehrer and L
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:30.667043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5f52b19c-e899-43f2-be24-8c6bbaadadf1 · outbound
This paper cites Perturbation of domains in the P ompeiu problem.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Perturbation of domains in the P ompeiu problem
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:30.430358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7428a9dd-f6b5-46dc-bf01-9232443eceff · outbound
This paper cites Nontrivial solutions to S errin's problem in annular domains.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Nontrivial solutions to S errin's problem in annular domains
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:30.177313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7b8ea6c8-1ab9-474b-b0c0-d9e147055e8e · outbound
This paper cites Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T13:39:26.153758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4a270774-ec40-4448-91dd-bca4d53f5d3e · outbound
This paper cites A short note on the Schiffer's conjecture for a class of centrally symmetric convex domains in $\mathbb{R}^2$.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane A short note on the Schiffer's conjecture for a class of centrally symmetric convex domains in $\mathbb{R}^2$
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T13:39:25.870850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 21fe0462-39ab-4f08-a69d-3c6150acf501 · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:29.910169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d164e043-c021-4194-806a-c3b5a1518381 · outbound
This paper cites Nonsymmetric sign-changing solutions to overdetermined elliptic problems in bounded domains.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Nonsymmetric sign-changing solutions to overdetermined elliptic problems in bounded domains
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:29.606110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 288b4aca-082f-4992-8030-f9089c6aebff · outbound
This paper cites A symmetry problem in potential theory.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane A symmetry problem in potential theory
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:29.290417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 914038c4-d201-49b3-8a3d-b4db9c8790a1 · outbound
This paper cites Shklover.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Shklover
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:28.959639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 245f7e34-65b5-4bb0-8a25-72d542ef0c17 · outbound
This paper cites New extremal domains for the first eigenvalue of the L aplacian in flat tori.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane New extremal domains for the first eigenvalue of the L aplacian in flat tori
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:28.708759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c2e7ac11-8073-4907-839e-c02c8f7a8a4f · outbound
This paper cites Schiffer's problem and an isoperimetric inequality for the first buckling eigenvalue of domains on S^2.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Schiffer's problem and an isoperimetric inequality for the first buckling eigenvalue of domains on S^2
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:28.387690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f4266b0f-d3a7-40cc-bf5e-aeeb9f4437e4 · outbound
This paper cites Bifurcating extremal domains for the first eigenvalue of the L aplacian.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Bifurcating extremal domains for the first eigenvalue of the L aplacian
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:28.126570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dfb8869f-c24f-4d8c-b62d-f2c2b7bbbac3 · outbound
This paper cites Boundary value problems of finite elasticity , volume 31 of Springer Tracts in Natural Philosophy.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Boundary value problems of finite elasticity , volume 31 of Springer Tracts in Natural Philosophy
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:27.862392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2b992319-657e-41a0-8dd7-0fa62184f240 · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:27.618991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 174064a3-00a3-49cf-8b78-67bc1436a05a · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:27.411017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 329a581f-3214-43bd-aac4-fcf95a7ead3d · outbound
This paper cites Williams.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Williams
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:27.143444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 26ad603e-5f7c-4f0a-a653-7f2310a585da · outbound
This paper cites Williams.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Williams
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:26.958246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9af49051-b8ae-429d-875a-d4638fcbeb06 · outbound
This paper cites Seminar on D ifferential G eometry , volume No.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Seminar on D ifferential G eometry , volume No
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:39:26.685319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c53a040e-b133-49b7-bd03-40abc9faf0f9 · outbound
This paper cites an unresolved cited work.
Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:39:26.417338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 21f6a198-b147-4f89-9d6f-a8c293cbf37c · inbound
On two-dimensional steady compactly supported Euler flows with constant vorticity cites this paper.
On two-dimensional steady compactly supported Euler flows with constant vorticity Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
Reference 52
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T06:40:42.180863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 60bdb37b-9106-40a7-b689-e0d95e1475c7 · inbound
On two-dimensional steady compactly supported Euler flows with constant vorticity cites this paper.
On two-dimensional steady compactly supported Euler flows with constant vorticity Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
Reference 57
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T03:48:12.822308Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99c68bf6-32c2-4acc-aa2b-2694ca8bd402 · inbound
A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures cites this paper.
A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:57:10.272239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 143e20ea-d9a1-4def-b9e5-3508e19e0b71 · inbound
Counterexamples to Schiffer's Conjecture cites this paper.
Counterexamples to Schiffer's Conjecture Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T05:08:35.176561Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.