Paper Citation Record · LEDGER

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.17159.

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

pith.paper-citation-record.v1
2607.17159 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:04:00.456584Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

28 of 28 outbound references displayed

verified exact20
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 547f137e-e7fc-4b85-be74-29720e8f9935 · outbound

This paper cites Bagchi,Heisenberg uniqueness pairs corresponding to a finite number of parallel lines, Adv.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Bagchi,Heisenberg uniqueness pairs corresponding to a finite number of parallel lines, Adv

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T19:08:25.624432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e71e7c89-9298-4e76-b2bd-c11e10fa93c6 · outbound

This paper cites Bakan, H.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Bakan, H

Reference 2

Resolution: verified exact; doi, observed 2026-08-01T19:08:25.481510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 148fa7aa-09a1-46fb-bb71-579fd29b3d7e · outbound

This paper cites Blasi Babot,Heisenberg uniqueness pairs in the plane: three parallel lines, Proc.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Blasi Babot,Heisenberg uniqueness pairs in the plane: three parallel lines, Proc

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T19:08:25.294041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e28affdb-2b19-4e00-a044-d4cf3fb58b9f · outbound

This paper cites Canto-Martín, H.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Canto-Martín, H

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T19:08:25.153867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 641bde33-949a-4fc2-8d16-86dd7bb170f5 · outbound

This paper cites Ding,A closed range theorem for the Frobenius–Perron operator and its application to the spectral analysis, J.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Ding,A closed range theorem for the Frobenius–Perron operator and its application to the spectral analysis, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T19:03:58.054983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e5dbc9a-5689-4a51-bd67-817ca60d723e · outbound

This paper cites an unresolved cited work.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T19:03:58.123155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ddedee7-ac89-41cc-b9dd-54a73e461d40 · outbound

This paper cites Fourier nonuniqueness sets for the hyperbola and the Perron-Frobenius operators.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Fourier nonuniqueness sets for the hyperbola and the Perron-Frobenius operators

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-01T19:08:25.010157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1251762c-fa6a-4be6-97ae-397f631755e8 · outbound

This paper cites Giri and R.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Giri and R

Reference 8

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.926695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 672cd643-4595-4d92-8297-6ef5602c1f04 · outbound

This paper cites Giri and R.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Giri and R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T19:03:58.328931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22bb552e-4dd1-4abe-901f-47c0bb1152b3 · outbound

This paper cites Giri and R.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Giri and R

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.814167Z

Source-reported events for the cited work

correction dated 2022-09-13. Source: crossref record 10.1112/blms.12730->10.1112/blms.12391:correction, observed 2026-07-11T03:00:58.575199+00:00. This notice travels one citation hop only.

Observation 354a9f70-ce1d-4ec5-8884-934b36f136a8 · outbound

This paper cites Giri and R.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Giri and R

Reference 11

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.700761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3941bcf3-0919-4dec-acbc-e956d55e0286 · outbound

This paper cites Giri and R.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Giri and R

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.611262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bdb16c3b-4669-41df-95e9-48f756f39c3c · outbound

This paper cites an unresolved cited work.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T19:03:58.842430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75e8d289-b868-47fa-8133-d910c633ee37 · outbound

This paper cites Gröchenig and P.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Gröchenig and P

Reference 14

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.495313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53f7c776-4412-48a6-8bb8-f42b2195554c · outbound

This paper cites Hedenmalm,Corrigendum to The Klein–Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps, J.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hedenmalm,Corrigendum to The Klein–Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps, J

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.347751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bfdb2728-1698-4aa4-874e-0dc2bab4636c · outbound

This paper cites Hedenmalm and A.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hedenmalm and A

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T19:08:24.166746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54c05325-bad8-465f-bb18-953a4714e634 · outbound

This paper cites Hedenmalm and A.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hedenmalm and A

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.999259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 990bbe64-39d5-40ca-aa1d-60178e6fa8ae · outbound

This paper cites Hedenmalm and A.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hedenmalm and A

Reference 18

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.781150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3453eba8-6722-4e76-95ab-5101d7e270c9 · outbound

This paper cites Hyperbolic Fourier series and the Klein-Gordon equation.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hyperbolic Fourier series and the Klein-Gordon equation

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-01T19:08:23.657764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6e03ff02-4bef-4e3b-9fd9-dfab8458d17c · outbound

This paper cites Hennion,Sur un théorème spectral et son application aux noyaux lipchitziens, Proc.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Hennion,Sur un théorème spectral et son application aux noyaux lipchitziens, Proc

Reference 20

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.536938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ee97b804-2992-4b2a-8300-56990d12db3c · outbound

This paper cites Jaming and K.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Jaming and K

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.429572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9ab98667-9611-48f0-8ffd-38c0ab4ced5d · outbound

This paper cites Kulikov, F.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Kulikov, F

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.315399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a7c739ee-a333-4461-8715-992f6d160d07 · outbound

This paper cites Lasota and J.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Lasota and J

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.199415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 813454d7-4486-48e2-8fad-ddc7a10e97ea · outbound

This paper cites Perturbed lattice crosses and Heisenberg uniqueness pairs.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Perturbed lattice crosses and Heisenberg uniqueness pairs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T19:03:59.900513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81099e12-611d-47f2-883b-e80d4a864e4d · outbound

This paper cites Radchenko and M.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Radchenko and M

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T19:04:00.011745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47a77d07-c4f0-4380-b20c-ef92b90df7cc · outbound

This paper cites an unresolved cited work.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-01T19:08:23.036631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6513b6cf-4033-4c72-8161-c53326da6e12 · outbound

This paper cites Rychlik,Bounded variation and invariant measures, Studia Math.76(1983), no.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses Rychlik,Bounded variation and invariant measures, Studia Math.76(1983), no

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T19:04:00.288447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67d5ef05-deb6-421d-95c7-1d005f396318 · outbound

This paper cites School of Mathematical Sciences, University of Science and Technology of China, No.

Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses School of Mathematical Sciences, University of Science and Technology of China, No

Reference 28

Resolution: malformed identifier; no resolver link, observed 2026-08-01T19:04:00.456584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.