Paper Citation Record · LEDGER

Counterexamples to Schiffer's Conjecture

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2608.05114.

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

pith.paper-citation-record.v1
2608.05114 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:08:35.497975Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:31:44.389393Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:31:44.668904Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy22
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13cddf3f-4b7a-42cf-aac7-3da37b1639e1 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:43.872337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 76210680-9483-4064-96fc-3f3df1801a29 · outbound

This paper cites Aviles,Symmetry theorems related to Pompeiu’s problem, Amer.

Counterexamples to Schiffer's Conjecture Aviles,Symmetry theorems related to Pompeiu’s problem, Amer

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:43.671249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 92029016-53f0-4af2-a834-ef2b739f1ae2 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:43.475859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 55edc2a3-7db3-4598-9527-2a8817a081c4 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:43.262473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5197efc4-3d5c-4605-abe8-14ffe48c404d · outbound

This paper cites Brown, B.

Counterexamples to Schiffer's Conjecture Brown, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:43.013394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d5d60d9-c8cb-4989-b9ed-ec733a27b233 · outbound

This paper cites Canuto,Stability results for theN-dimensional Schiffer conjecture via a perturbation method, Calc.

Counterexamples to Schiffer's Conjecture Canuto,Stability results for theN-dimensional Schiffer conjecture via a perturbation method, Calc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:42.845664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8f9ed2b9-0e87-45dd-a793-e1acb87e0b8d · outbound

This paper cites Cao-Labora and A.

Counterexamples to Schiffer's Conjecture Cao-Labora and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T05:08:32.669778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed801db0-b53b-4af1-bb9f-b03d31fecc20 · outbound

This paper cites Chakalov,Sur un probl `eme de D.

Counterexamples to Schiffer's Conjecture Chakalov,Sur un probl `eme de D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:42.528214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 19965ed5-8594-4dac-8f33-ee962c58dbdb · outbound

This paper cites A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures.

Counterexamples to Schiffer's Conjecture A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:08:35.789137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 534c6860-71de-4378-a5dd-e2a25dc3a0ed · outbound

This paper cites Constantin, J.

Counterexamples to Schiffer's Conjecture Constantin, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:42.353394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 99dd41e6-3db6-49db-8130-b9ececa5f85c · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:42.225420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b8cd7c27-3aaa-45c1-a1e0-70059db61064 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:42.046051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 091f7df4-10b4-43ed-bebb-99f714ab3986 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T05:08:33.327392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb02a768-b937-41c7-a00f-8b3a8dd51879 · outbound

This paper cites Deng,Some results on the Schiffer conjecture inR 2, J.

Counterexamples to Schiffer's Conjecture Deng,Some results on the Schiffer conjecture inR 2, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:41.803175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0554731e-9fd1-4b9d-9b79-1843876512eb · outbound

This paper cites Dom ´ınguez-V´azquez, A.

Counterexamples to Schiffer's Conjecture Dom ´ınguez-V´azquez, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:41.559222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4116c91b-ed35-4665-b2f7-c39637403819 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:41.375992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9477b0f7-1710-440d-9b5a-d8a120b0dbcb · outbound

This paper cites Enciso, A.

Counterexamples to Schiffer's Conjecture Enciso, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:41.149868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8fb1498f-6644-453b-beac-5c4a9994ae2b · outbound

This paper cites Enciso,Schiffer-type problems and nonradial stationary Euler flows with compact support, Journ ´ees ´Equations aux d´eriv´ees partielles (2024), 1–10.

Counterexamples to Schiffer's Conjecture Enciso,Schiffer-type problems and nonradial stationary Euler flows with compact support, Journ ´ees ´Equations aux d´eriv´ees partielles (2024), 1–10

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:41.036722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7ba99dc-ca62-402b-9ffa-a9628dfe70c6 · outbound

This paper cites 36 GONZALO CAO-LABORA AND JAUME DE DIOS PONT.

Counterexamples to Schiffer's Conjecture 36 GONZALO CAO-LABORA AND JAUME DE DIOS PONT

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:40.815055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 59354f0b-bbfa-4317-84d0-21eaf91f49a1 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:40.587515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 416fe60c-5941-4429-b944-c7005af386d5 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:40.357722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ef730664-9053-4ede-b988-efee45aba991 · outbound

This paper cites Gilbarg and N.

Counterexamples to Schiffer's Conjecture Gilbarg and N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:40.035183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d5fcf79-d6f7-4779-8e1a-b4ba903ff02d · outbound

This paper cites G ´omez-Serrano, J.

Counterexamples to Schiffer's Conjecture G ´omez-Serrano, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:39.646777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 93d8d691-b9b6-44cb-b5c1-0047858490bd · outbound

This paper cites Kawohl and M.

Counterexamples to Schiffer's Conjecture Kawohl and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:39.350858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1195353f-67b5-4b95-b38d-356de149edde · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:38.994957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e19e6302-d004-4dbd-890b-279769704b4b · outbound

This paper cites Kinderlehrer and L.

Counterexamples to Schiffer's Conjecture Kinderlehrer and L

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:38.695515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ca773e0-e098-4c52-93b8-9c8dcd93b10a · outbound

This paper cites Kobayashi,Perturbation of domains in the Pompeiu problem, Comm.

Counterexamples to Schiffer's Conjecture Kobayashi,Perturbation of domains in the Pompeiu problem, Comm

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:38.438713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9ca861ee-2a54-483e-9211-1f9cbc519d36 · outbound

This paper cites Liu,Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations, Nonlinear Anal.

Counterexamples to Schiffer's Conjecture Liu,Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations, Nonlinear Anal

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:38.210875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16d4484f-8037-4981-ba7d-6a2b61efcd4c · outbound

This paper cites Mondal,A short note on Schiffer’s conjecture for a class of centrally symmetric convex domains inR 2, J.

Counterexamples to Schiffer's Conjecture Mondal,A short note on Schiffer’s conjecture for a class of centrally symmetric convex domains inR 2, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:38.000228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a23a7190-67cb-4148-ae28-7a0a14783c28 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:37.759054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d4bd928-4420-477d-92fc-9b9b78d72af5 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:37.580952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 74e180ed-5d11-43b3-afc4-07bc3213317f · outbound

This paper cites Pompeiu,Sur certains syst `emes d’´equations lin´eaires et sur une propri ´et´e int´egrale des fonctions de plusieurs vari- ables, C.

Counterexamples to Schiffer's Conjecture Pompeiu,Sur certains syst `emes d’´equations lin´eaires et sur une propri ´et´e int´egrale des fonctions de plusieurs vari- ables, C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:37.317056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7bee70bc-25f8-449e-844b-69e5777a625f · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:37.142425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 55911723-1693-4bcb-a33d-de7033b39cb5 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:37.007060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation af5da8d6-c4e6-48e1-b22d-99afba0e67d9 · outbound

This paper cites Souam,Schiffer’s problem and an isoperimetric inequality for the first buckling eigenvalue of domains onS 2, Ann.

Counterexamples to Schiffer's Conjecture Souam,Schiffer’s problem and an isoperimetric inequality for the first buckling eigenvalue of domains onS 2, Ann

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:36.852503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c367f5d-262e-4830-815c-4b261057ee0e · outbound

This paper cites Triebel,Theory of Function Spaces, Modern Birkh ¨auser Classics, Birkh¨auser/Springer Basel AG, Basel, 2010.

Counterexamples to Schiffer's Conjecture Triebel,Theory of Function Spaces, Modern Birkh ¨auser Classics, Birkh¨auser/Springer Basel AG, Basel, 2010

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:36.724775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 143e20ea-d9a1-4def-b9e5-3508e19e0b71 · outbound

This paper cites Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane.

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.

Observation 1688733f-ca7f-4482-a0de-ee6915dd6748 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:36.582767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation da17b0f6-f764-482e-967e-84ead71121e5 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:36.442458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2fb4e20c-3f77-4be4-86af-86404d494247 · outbound

This paper cites an unresolved cited work.

Counterexamples to Schiffer's Conjecture Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:08:36.284741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ecd0863a-266e-4e36-b751-fcd2c56aef69 · outbound

This paper cites Yau,Problem section, inSeminar on Differential Geometry, Ann.

Counterexamples to Schiffer's Conjecture Yau,Problem section, inSeminar on Differential Geometry, Ann

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:36.134894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1155217f-88b7-41a4-9a8e-2031eb489d60 · outbound

This paper cites Zalcman,A bibliographic survey of the Pompeiu problem, in B.

Counterexamples to Schiffer's Conjecture Zalcman,A bibliographic survey of the Pompeiu problem, in B

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:08:35.982732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 37c879b1-20c0-4ab5-a8d3-81e3b5ff8339 · inbound

A computer-assisted counterexample to the planar Berenstein conjecture cites this paper.

A computer-assisted counterexample to the planar Berenstein conjecture Counterexamples to Schiffer's Conjecture

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:31:44.675547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.