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Paper Citation Record · LEDGER

On exponential frames near the critical density

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.148959Z digest=sha256:885b20e37131ef7d5a50cc38a49285a4c5e0946d992cb221c4c7c254de60ab5a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.162498Z digest=sha256:c53d59463543ef302cc4ed59a8ad93648d74669f7d4ed1cd436ce296173a5968

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.171311Z digest=sha256:17660543ce533107e905be910819f2936308d805cd9988c2f0e5ba04840a4cd7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.182263Z digest=sha256:82b50597b8ba8f66a9f28ad4060ccc8ddcabe03ea5130d037eadca7ab83f4cf6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.204173Z digest=sha256:98328e285b483436a7881dff2d7c7932be7525f090d52f92559dfd949817c321

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.

source=pdf_text observed=2026-08-12T10:13:04.215652Z digest=sha256:98988b7e9b16b244073c8d8103c5a10a002bd9c278686227c833a25b3d931fe0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.233535Z digest=sha256:0773d34fd12dd34cb810d62d9bedc21cf92a312a3d1b5b8301ea08f4d2ce9862

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.242240Z digest=sha256:e265305437873ff54805431f72a5ddf52dcfb6d4d29b6de304419e818b6e690d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.257144Z digest=sha256:cfd6aca9ceb56077115527bf2cc0f281deec17654b96719152cea11dff9af906

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.276726Z digest=sha256:2d7b0ae424639ce1ebb6160dd78b08eb2672e3a1b68de1ff83969f8ada142753

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.290474Z digest=sha256:f8bb839e4765babb872d5d265319558e400dd92b42c522c1a4e5f0f71003e860

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.305790Z digest=sha256:6da652543d890600c4ab00cf0e163676fe360897eb1ee0a4df88058aa2443903

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.318755Z digest=sha256:d228d2b7d2f36ad9b695e588f839e29a5ba2861c5c90bd1b4e28c0fd1e947a72

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.328519Z digest=sha256:df520a7cfd68230efdefba511f6da9f3d17dd73aaee50e4443eedffa00e2cc18

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.340780Z digest=sha256:429e8c65ff17fea08aad08022d8677aca4274a6bb4ea5f658ae905522100d853

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.352522Z digest=sha256:e8f9801e944dc9d367c300d63e1d6140d530f9fb2458c0681a436bf69f3715bd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.362115Z digest=sha256:1fc2c14b664540bd34b67447e7e437235041e96109e87a14d9d11ccbf031d4bd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.371012Z digest=sha256:548f64ad11f273f8678f710e98bcf60ec55a61426613cedb1b0c3356ee84c5bc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.378042Z digest=sha256:cc0ba695d3d30c1810bb822018e6eae6431d2d493d8b0f4a45e21f675b188874

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.387315Z digest=sha256:815cdc1df93348941fde391048963b262b5c6f41331e29914fd0ea3c57b57d4e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.397091Z digest=sha256:3e373e66cd1a6eef970f58169d0dd5b096135b35d0f0a368be23924a4224e439

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T10:13:04.405320Z digest=sha256:d9cbe8cf82fb6658517875cd0fb82e24faa90e24ddc195ad0faa349527a3938a

Pith citing papers

No inbound Pith citation observations are available.