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Paper Citation Record · LEDGER

Spectrality of a measure consisting of two line segments

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2501.11367.

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

pith.paper-citation-record.v1
2501.11367 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:34:25.000504Z

measured 22 of 22 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:40:17.636910Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:40:18.986720Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58d90265-9f6b-4379-baa5-d6a796c6ec5e · outbound

This paper cites Ai, Z.-Y.

Spectrality of a measure consisting of two line segments Ai, Z.-Y

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.904358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.904358Z digest=sha256:b25680405d8b075b6a88f340f03fa2143b6f6f581bfe03edbcdbf4eb969355ba

Observation a31188f2-788e-448e-9831-d5910b500970 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.292649Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.909948Z digest=sha256:683ef97bd6676e4df0948c8da9ffa4cfc19ccb798801f440fc097772d9550a13

Observation 6766d887-930d-4df9-a616-57c07a0c2648 · outbound

This paper cites Farkas, M.

Spectrality of a measure consisting of two line segments Farkas, M

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.914874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.914874Z digest=sha256:b53b3c0c564905cdb036336b1ae9d19fd3cbce4d45c5aaab49a5b5cd3a36995b

Observation d8e5db46-63eb-41b3-b90f-a899970042f4 · outbound

This paper cites Farkas and Sz.

Spectrality of a measure consisting of two line segments Farkas and Sz

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.919919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.919919Z digest=sha256:ca0c0d338cd6d2aeaa7dd65cd5d9ecda452e41a7d979b5eeef7b9e31bdee5881

Observation 763ff6fe-4697-48de-b25c-c9be9c9fc5d6 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.925227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.925227Z digest=sha256:bfa28531a19fb88f602fa47973641a94ae7f3b519d6f9b43df6873c2ed4b0f5d

Observation 5a62a0ac-d610-42f9-8795-a18abfa7d290 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.244762Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.930469Z digest=sha256:3c4552190ba319555e36f8daf54c9b68b863b160c3dc3f21d379a07ebf7be62b

Observation fa586681-1489-4379-ac9b-1018829e38a5 · outbound

This paper cites Greenfeld and N.

Spectrality of a measure consisting of two line segments Greenfeld and N

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:34:25.229998Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.936051Z digest=sha256:583a8e1222db1f32261189f324d5535649bae402a87984a11a4321cd5e815c09

Observation 92197af3-9c3c-4911-badf-6b49207ad54d · outbound

This paper cites Iosevich and M.

Spectrality of a measure consisting of two line segments Iosevich and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:34:25.214333Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.940901Z digest=sha256:c8d14d251317b52c51ce02460f83361ce47fda138b48b4d9745d5c47cfa7abfd

Observation 3b119cd1-382b-43d7-a09c-8730f33640bc · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.945567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.945567Z digest=sha256:cc96e611ccd9765d6abb50cd6d36eea634b191989b55012cef4c4e1bd7c14755

Observation 40808bb6-07bb-4ee7-bd30-01222864ebc5 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.950523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.950523Z digest=sha256:262210360c05721c95d009910d8835feec70056a17e0f2b1653c7023706fb976

Observation 46745552-9d20-4bf8-ac6f-5c1c9436eaf6 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.955378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.955378Z digest=sha256:3607643ef5376effa6ce448bab4c953aadc685683001ffd5de4e0db884b44090

Observation 4f6b1503-3722-47b4-81f8-feb00aa0471d · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.165909Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.960363Z digest=sha256:913e3e0a9a34686029b3f7e3e390bc461bf2af68c1279b423c690895db41798d

Observation 1dab948c-2701-4a7a-868f-08df392438de · outbound

This paper cites Orthogonal Fourier Analysis on Domains.

Spectrality of a measure consisting of two line segments Orthogonal Fourier Analysis on Domains

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:34:25.045174Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.965190Z digest=sha256:92b7f2adb24ca56dce38194abdaba93828409abf27c52fc99d3fc917b93e3d97

Observation d5fea3ba-055e-46c7-87e2-6313d6e68c79 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.970360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.970360Z digest=sha256:a69f77973717a39a86008ac00ea80b1607dcc629f47375b44fbd656ee1fa3fd1

Observation b4c173db-faab-49cf-b8d6-291b1e29d882 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.138246Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.975213Z digest=sha256:26c8d1974018259cce8e4eac219ffa985c91cb1803f16f1ff199c4e26e0b722d

Observation dead0f1a-eb85-465e-88d5-357532a797eb · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.979425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.979425Z digest=sha256:707864d41a93a9e61720b3595d9d33f62c84d294514bb0377b07967594481079

Observation 98dfa9c6-14c8-4526-928b-a00f428c1faf · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.983662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.983662Z digest=sha256:4346241172adc4a3087dbac5dcc8068943b844191fd802fbdc1ff35dc701a34e

Observation da1f17b9-f1f7-461d-9213-c7ac950ea000 · outbound

This paper cites Lev and M.

Spectrality of a measure consisting of two line segments Lev and M

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.987763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.987763Z digest=sha256:e7c1e978826b600130d56df54bb69c18b7e9bae538118c7c5574755f4deda3f8

Observation 686451e1-7fa8-4d05-83dc-b2fdaa28f8fd · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.090663Z

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.

source=arxiv_source observed=2026-08-10T18:34:24.992068Z digest=sha256:2784bcb0ee0b08b9841d395ba682d587be611e886593b30f6a3064c1fbef1b4e

Observation eb23eca3-3f91-44d7-8652-67b7baad95ce · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T18:34:24.996167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T18:34:24.996167Z digest=sha256:f30170c2a38740509ab0a19125875488832a3c7fe533831acffe464a5d6f943b

Observation 96dfcb5d-d498-49ca-a46b-550802080c15 · outbound

This paper cites an unresolved cited work.

Spectrality of a measure consisting of two line segments Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:34:25.062839Z

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.

source=arxiv_source observed=2026-08-10T18:34:25.000504Z digest=sha256:f06f7a98700f76f5fb007fbeccf2c92182e6bcc1d8a340209ebd3806e9ba7fb6

Pith citing papers

Observation 77a11f76-ebf7-4b9a-8dc8-922c65775f66 · inbound

Frame bound, spectral gap and Plus space cites this paper.

Frame bound, spectral gap and Plus space Spectrality of a measure consisting of two line segments

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:40:19.068093Z

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.

source=pdf_text observed=2026-08-07T13:40:17.636910Z digest=sha256:9c7dc50f6a4fb6e9528cda6c6cab16ca5bb7724c76f0811f6329e556a1abec69