Paper Citation Record · LEDGER

A computer-assisted counterexample to the planar Berenstein conjecture

As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.08953.

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

pith.paper-citation-record.v1
2608.08953 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:31:44.561726Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

39 of 39 outbound references displayed

verified exact1
verified fuzzy12
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 08d350a2-4b69-4682-a393-3a9862380478 · outbound

This paper cites Agmon, A.

A computer-assisted counterexample to the planar Berenstein conjecture Agmon, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.362739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb3f8566-513a-4c6a-99dc-011ecdc29e95 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:45.218443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bda702c2-dacd-4ad1-8dbe-8b4c4d83c425 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:45.200025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3dae2140-eb93-401e-b9d3-4dbaf2cd1cc6 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.379232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ae321ee-1eb1-4130-b217-36781e3646ba · outbound

This paper cites Brown, B.

A computer-assisted counterexample to the planar Berenstein conjecture Brown, B

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.384444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Counterexamples to Schiffer's Conjecture.

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 2026-08-14T06:32:32.682623+00:00.

Observation a8ab5091-d1f7-4484-b857-9d8ee084c15f · outbound

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

A computer-assisted counterexample to the planar Berenstein conjecture A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.395998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 634d8525-5fa0-44e2-a20a-513c838b0c3d · outbound

This paper cites Colton and R.

A computer-assisted counterexample to the planar Berenstein conjecture Colton and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.158887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dabfd8e5-9ea9-464b-bfee-c2505d97996e · outbound

This paper cites On the Schiffer and Berenstein conjectures with high-frequency for convex domains in the plane.

A computer-assisted counterexample to the planar Berenstein conjecture On the Schiffer and Berenstein conjectures with high-frequency for convex domains in the plane

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.406464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e669bec1-67ab-486f-b4a5-e60046c8c127 · outbound

This paper cites Dai and Y.

A computer-assisted counterexample to the planar Berenstein conjecture Dai and Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.136953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3742af86-d184-4a02-b681-751d2f7e9ff6 · outbound

This paper cites Dalmasso.

A computer-assisted counterexample to the planar Berenstein conjecture Dalmasso

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.119535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 08f654a1-08ee-473f-b256-8ca4637154e0 · outbound

This paper cites Dalmasso.

A computer-assisted counterexample to the planar Berenstein conjecture Dalmasso

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.100073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 756b8d8a-d8db-4505-b49b-6f0d1797f141 · outbound

This paper cites Day, J.-P.

A computer-assisted counterexample to the planar Berenstein conjecture Day, J.-P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.082334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dff32bc6-701d-4f69-9ca6-419cab9cfce4 · outbound

This paper cites Fousse, G.

A computer-assisted counterexample to the planar Berenstein conjecture Fousse, G

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.431939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bebaec7-6fa9-4311-881a-d15d56a2b8cc · outbound

This paper cites Garofalo and F.

A computer-assisted counterexample to the planar Berenstein conjecture Garofalo and F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.052446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 157423e3-16c6-4290-87de-b30f0f3eef77 · outbound

This paper cites Garofalo and F.

A computer-assisted counterexample to the planar Berenstein conjecture Garofalo and F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.035164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 636c8fad-b7f2-423b-beb2-cef2d55f5a58 · outbound

This paper cites Garofalo and F.

A computer-assisted counterexample to the planar Berenstein conjecture Garofalo and F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.018474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3f5b64c7-5b53-4bcb-8073-3d599f0322cd · outbound

This paper cites Garofalo and F.

A computer-assisted counterexample to the planar Berenstein conjecture Garofalo and F

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:45.001308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fb6390f5-4ce0-4d13-a9c3-5079d6143970 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.980469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 17c200da-1fd0-4e05-b6c5-9276e62fdd80 · outbound

This paper cites Hungria, J.-P.

A computer-assisted counterexample to the planar Berenstein conjecture Hungria, J.-P

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.460454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e849681f-940e-4e20-b638-4d2dd30a8ba2 · outbound

This paper cites IEEE Standard for Floating-Point Arithmetic.

A computer-assisted counterexample to the planar Berenstein conjecture IEEE Standard for Floating-Point Arithmetic

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:44.949300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4ab8a3df-202e-4a97-bd2d-8a00b654cdac · outbound

This paper cites Kawohl and M.

A computer-assisted counterexample to the planar Berenstein conjecture Kawohl and M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.470226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3deee53d-2340-486d-9fcd-ccc725da0ba4 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.919062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 594375db-dbec-4541-aa0f-0340c73f7c77 · outbound

This paper cites McLean.Strongly Elliptic Systems and Boundary Integral Equations.

A computer-assisted counterexample to the planar Berenstein conjecture McLean.Strongly Elliptic Systems and Boundary Integral Equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:44.899737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 30b37503-8b55-44c7-8d03-6f99490c62b3 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.881956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 54e0992c-7045-492d-b2b0-53177306d566 · outbound

This paper cites Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains.

A computer-assisted counterexample to the planar Berenstein conjecture Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.490471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b79bc538-a028-4ea6-8460-30a05ca2b8cc · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.495637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6503464d-c677-49c6-8a0d-459349d946cd · outbound

This paper cites Nigam, B.

A computer-assisted counterexample to the planar Berenstein conjecture Nigam, B

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.501396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8763175-7910-41bf-8400-4132983c8b01 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.507095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3805087e-39a7-4b1b-bc03-92ada314ade5 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.833661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 319b741e-3d18-4490-9acb-c7eef46d7801 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.816640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a419a982-5cdb-47d8-bc18-423d3b8e02ae · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.800076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32ed4a3a-36d0-4e08-8bbb-7f11f4e78479 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.526704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36340693-4712-4b95-8767-ef77b04d16fc · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.770008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 315558a3-c0a5-4c7e-a989-d68be5f860e5 · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.745846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 43283b9e-d815-4dd7-a658-e074f45a1a4c · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.729495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d4910315-bec5-4724-a988-2211e9f191d1 · outbound

This paper cites Szegő.Orthogonal Polynomials, volume 23 ofAmerican Mathematical Society Colloquium Publications.

A computer-assisted counterexample to the planar Berenstein conjecture Szegő.Orthogonal Polynomials, volume 23 ofAmerican Mathematical Society Colloquium Publications

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:31:44.710415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c85bd316-91f9-49b7-9c06-560b62772a6a · outbound

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

A computer-assisted counterexample to the planar Berenstein conjecture Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T04:31:44.556381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db22b8ba-f584-4888-a965-58ea6ccf168b · outbound

This paper cites an unresolved cited work.

A computer-assisted counterexample to the planar Berenstein conjecture Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:31:44.692831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.