Paper Citation Record · LEDGER

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2607.26878.

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

pith.paper-citation-record.v1
2607.26878 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T18:23:10.314934Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:29:35.559137Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:29:35.800889Z

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb5772f3-5531-4312-8875-23696ceb2799 · outbound

This paper cites Antezana, J.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Antezana, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:08.992061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd192210-8d48-4e34-bc27-9ec87f612dd9 · outbound

This paper cites an unresolved cited work.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.089549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ddb508d-3ecb-43d3-9da9-6670f49a9e9e · outbound

This paper cites Bownik and D.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Bownik and D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.180663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30f77791-7de3-442e-ad56-4a8d4d57be47 · outbound

This paper cites Currey and V.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Currey and V

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.275670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f7ad7b3-6331-4ac5-89e4-0cd8b2f66552 · outbound

This paper cites Demeter,Linear independence of time frequency translates for special configurations, Mathematical research letters17(2010), no.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Demeter,Linear independence of time frequency translates for special configurations, Mathematical research letters17(2010), no

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.339104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03d285a1-d8bd-418e-852e-f9c7ecaa1662 · outbound

This paper cites Demeter and A.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Demeter and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.468057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d566bd2-b3d4-4755-8135-bebe42164835 · outbound

This paper cites Enstad and J.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Enstad and J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.528899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f200b7cc-bf53-47f8-94e3-cd538025df4e · outbound

This paper cites Gr¨ ochenig,Foundations of Time-Frequency Analysis, Applied and Numerical Harmonic Analysis, Springer-Birkh¨ auser, New York, 2001.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Gr¨ ochenig,Foundations of Time-Frequency Analysis, Applied and Numerical Harmonic Analysis, Springer-Birkh¨ auser, New York, 2001

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.552280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09c1aed7-d63b-45c8-bacd-41d88b203ce4 · outbound

This paper cites Heil,Linear independence of finite Gabor systems, Harmonic Analysis and Applications: In Honor of John J.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Heil,Linear independence of finite Gabor systems, Harmonic Analysis and Applications: In Honor of John J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.611961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f849478a-fc20-48ea-889e-2ddc342b8469 · outbound

This paper cites an unresolved cited work.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.699065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 166d18ba-c9de-4884-9cfe-6e16b1054a0d · outbound

This paper cites Heil and D.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Heil and D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.871363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ef2a464-c6e5-4089-8e0c-63bf190941a5 · outbound

This paper cites Kreisel,Linear independence of time-frequency shifts up to extreme dilations, Journal of Fourier Analysis and Applications25(2019), no.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Kreisel,Linear independence of time-frequency shifts up to extreme dilations, Journal of Fourier Analysis and Applications25(2019), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:09.977411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 030c1454-20df-49ad-bdca-f9615611cdfd · outbound

This paper cites Linnell,Von Neumann algebras and linear independence of translates, Proceedings of the American Mathematical Society127(1999), no.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Linnell,Von Neumann algebras and linear independence of translates, Proceedings of the American Mathematical Society127(1999), no

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:10.149086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7a19879-43da-4516-948c-3e32f0fc8da4 · outbound

This paper cites Liu,Proof of the HRT conjecture for almost every (1, 3) configuration, Journal of Fourier Analysis and Applications25(2019), no.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Liu,Proof of the HRT conjecture for almost every (1, 3) configuration, Journal of Fourier Analysis and Applications25(2019), no

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:10.265464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02341b84-73f3-4cfe-b6fe-63ae66d3dd95 · outbound

This paper cites an unresolved cited work.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:10.307408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b42a699-ff35-420d-92d4-6ea08b1e1e48 · outbound

This paper cites an unresolved cited work.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:10.311116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae11a6fe-567b-4f86-845d-dfdd9c0c1236 · outbound

This paper cites an unresolved cited work.

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-30T18:23:10.314934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation dd31da22-4dc5-4495-9eec-5315e34c8d84 · inbound

The Minimum Cardinality of a Dependent Finite Gabor System Is Four cites this paper.

The Minimum Cardinality of a Dependent Finite Gabor System Is Four The HRT Conjecture for Symmetric Configurations and Real-Valued Functions

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:29:35.805703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.