Paper Citation Record · LEDGER

On exponential frames near the critical density

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.19562.

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

pith.paper-citation-record.v1
2411.19562 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:13:04.405320Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

verified exact1
verified fuzzy15
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84ae6f69-e9dd-4575-9f0d-3fe9b5e2c036 · outbound

This paper cites Agora, J.

On exponential frames near the critical density Agora, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.329872Z

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.

Observation dad1feca-15eb-4017-b0a0-8dc3165bf664 · outbound

This paper cites Agora, J.

On exponential frames near the critical density Agora, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.297065Z

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.

Observation 6bfb5f6e-6c54-46f0-9181-483a3817ac9a · outbound

This paper cites Antezana and M.

On exponential frames near the critical density Antezana and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.254128Z

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.

Observation 9e99ce05-2497-4df7-ac08-9f4fb882dde1 · outbound

This paper cites Balan, P.

On exponential frames near the critical density Balan, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.215515Z

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.

Observation b736c171-c65e-4ef6-8f18-f4adf6effd22 · outbound

This paper cites Batson, D.

On exponential frames near the critical density Batson, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.186276Z

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.

Observation 3696687a-19e9-4f1d-87f4-df5e47e73a06 · outbound

This paper cites Selector form of Weaver's conjecture, Feichtinger's conjecture, and frame sparsification.

On exponential frames near the critical density Selector form of Weaver's conjecture, Feichtinger's conjecture, and frame sparsification

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T10:13:04.215652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 483dfdf3-61d2-4f10-8955-1f2cc3bdae97 · outbound

This paper cites Bownik and J.

On exponential frames near the critical density Bownik and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.163978Z

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.

Observation ecf33288-2b4e-4ae0-a216-df1398a3004e · outbound

This paper cites an unresolved cited work.

On exponential frames near the critical density Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:13:05.126115Z

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.

Observation e2737dcf-b795-4250-8785-1b3b78393950 · outbound

This paper cites Enstad and S.

On exponential frames near the critical density Enstad and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.086352Z

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.

Observation 4cd1a348-eaf6-4108-ba2d-2ee5c44d4967 · outbound

This paper cites an unresolved cited work.

On exponential frames near the critical density Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:13:05.043077Z

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.

Observation 28c2b948-0217-4d9f-8811-1b39f6a901bb · outbound

This paper cites Friedland and P.

On exponential frames near the critical density Friedland and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:05.008488Z

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.

Observation a49bda7a-34d5-4308-bacc-c6a1047c40a8 · outbound

This paper cites Gr¨ ochenig, G.

On exponential frames near the critical density Gr¨ ochenig, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.981711Z

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.

Observation ee9b7138-88b9-4207-ac98-85523719b0f0 · outbound

This paper cites Hewitt and K.

On exponential frames near the critical density Hewitt and K

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.948826Z

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.

Observation 21959fc7-d87c-4636-b272-b99889dd2428 · outbound

This paper cites an unresolved cited work.

On exponential frames near the critical density Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:13:04.918633Z

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.

Observation 91051b0f-3ae0-4f00-a9b1-b27b50aecce1 · outbound

This paper cites Riesz basis of exponentials for a union of cubes in R^{d}.

On exponential frames near the critical density Riesz basis of exponentials for a union of cubes in R^{d}

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-12T10:13:04.499438Z

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.

Observation 76cc57bf-494c-4fa9-8dca-8cdb0aacb443 · outbound

This paper cites an unresolved cited work.

On exponential frames near the critical density Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:13:04.898325Z

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.

Observation 3bbe5971-0b7c-4f3c-a5ba-b708bae8b226 · outbound

This paper cites Nitzan, A.

On exponential frames near the critical density Nitzan, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.856422Z

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.

Observation 5503bae4-22bc-474a-a94e-fe4194108973 · outbound

This paper cites Nitzan, A.

On exponential frames near the critical density Nitzan, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.820627Z

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.

Observation da2b5672-1b2e-4764-bf46-1794d9b7b492 · outbound

This paper cites an unresolved cited work.

On exponential frames near the critical density Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:13:04.778131Z

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.

Observation 1adb383b-b04e-4985-8dc2-61019348c495 · outbound

This paper cites Pogorzelski, C.

On exponential frames near the critical density Pogorzelski, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.720474Z

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.

Observation 1e380e9d-992a-46e8-bd3c-a71e8ad728ec · outbound

This paper cites Reiter and J.

On exponential frames near the critical density Reiter and J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.659550Z

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.

Observation 9217d316-bbc3-4654-a245-996a8d22966b · outbound

This paper cites Richard and C.

On exponential frames near the critical density Richard and C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:13:04.589603Z

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.

Pith citing papers

No inbound Pith citation observations are available.