Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:32:24.158150Z
Paper Citation Record · LEDGER
Non-spectrality of some piecewise smooth curves and unions of line segments
As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2507.00581.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:38:44.750111Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T19:38:45.550086Z
Reference resolution
38 of 38 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved25
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 96e195e9-5f3e-4a25-b046-7dfad9b7ef9e · outbound
This paper cites An and C.-K.
Non-spectrality of some piecewise smooth curves and unions of line segments An and C.-K
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.465815Z
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.
Observation 12d33c05-1380-4562-ac8a-0fdc2ca56803 · outbound
This paper cites Ai, Z.-Y.
Non-spectrality of some piecewise smooth curves and unions of line segments Ai, Z.-Y
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.458732Z
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.
Observation bdb683e1-3de0-470b-ada5-750bcf1e78ee · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.451559Z
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.
Observation 53e37162-ca46-4fd1-9f7e-d89283146f94 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.444536Z
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.
Observation cee3f1cf-e461-4d32-8730-40640d63c766 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.437447Z
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.
Observation 47339add-e41a-4d4c-b43a-972eea494124 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.430131Z
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.
Observation 2accc0f9-3be0-4bd9-9074-0d4dc9b7ec0a · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.421963Z
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.
Observation 8a48051c-d91e-411b-8389-576fcc91f631 · outbound
This paper cites Evans and R.
Non-spectrality of some piecewise smooth curves and unions of line segments Evans and R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.413681Z
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.
Observation 91830c02-b0ef-45a7-a839-a1cea24f06f7 · outbound
This paper cites Farkas, M.
Non-spectrality of some piecewise smooth curves and unions of line segments Farkas, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.403637Z
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.
Observation bf2586fe-452c-47bb-a4b4-d711d9cf82d8 · outbound
This paper cites Farkas and Sz.
Non-spectrality of some piecewise smooth curves and unions of line segments Farkas and Sz
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.396974Z
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.
Observation 3de7f460-ab95-49b8-aac5-e1346c38161f · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.388413Z
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.
Observation 5329a0b2-feef-44ef-b54c-2260e6fc4acd · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.379678Z
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.
Observation d5dc0367-a55f-4480-a124-f84a60c2ff14 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.372458Z
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.
Observation a90e3cd9-32ed-4b6b-a0a5-0573293cecec · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.365015Z
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.
Observation 7b170a5a-a30b-43b9-85cc-55a75107cbc4 · outbound
This paper cites Gabardo and C.-K Lai.
Non-spectrality of some piecewise smooth curves and unions of line segments Gabardo and C.-K Lai
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.356148Z
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.
Observation aa39c6c8-8f6d-46f7-bad2-f2f52ad9dc53 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.347536Z
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.
Observation eb33908e-bad0-4ea3-b44f-990df39acb9e · outbound
This paper cites Hu and K.-S.
Non-spectrality of some piecewise smooth curves and unions of line segments Hu and K.-S
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.339084Z
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.
Observation 65c36533-9ff8-4c12-8948-7f68914bf549 · outbound
This paper cites He, C.-K.
Non-spectrality of some piecewise smooth curves and unions of line segments He, C.-K
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.330494Z
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.
Observation 70c0783d-07eb-4c0b-8bc8-4c07b243f52e · outbound
This paper cites Iosevich, C.-K.
Non-spectrality of some piecewise smooth curves and unions of line segments Iosevich, C.-K
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.322793Z
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.
Observation b1d88072-d233-45ef-ad41-d1b9d2d9b1fd · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.314414Z
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.
Observation 5dc6677a-e209-462b-a9c3-035aadaa9daf · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.307581Z
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.
Observation 3fd28d3c-1472-472a-b178-c5e1244d7e22 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.301078Z
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.
Observation ce46c911-c615-43b1-bef0-5b42d6dc62ef · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.295008Z
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.
Observation 13775c2a-ded8-4273-ae72-0f004a83cb30 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.288798Z
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.
Observation e1c1a58a-2e4b-40b5-a845-590b2959ed43 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.281641Z
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.
Observation e7122c43-2fd4-48e1-98a7-74dea52255fe · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.274873Z
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.
Observation 94d1bc32-3550-44ff-833e-26bc73678d92 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.268126Z
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.
Observation 36ccd4bf-a28a-457a-b811-93a94afd75ab · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.260326Z
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.
Observation 82b26621-f4b8-4f62-ab6c-e010083ea914 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.252738Z
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.
Observation 7ddba9dc-5da8-436b-b585-fde936f207b4 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.244617Z
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.
Observation 0dc514a7-d1c7-4894-a4f0-1db0c96862a3 · outbound
This paper cites Lev and M.
Non-spectrality of some piecewise smooth curves and unions of line segments Lev and M
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.236896Z
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.
Observation 6c40c759-6690-4bd7-8e35-b8e2f7150397 · outbound
This paper cites Lev and A.
Non-spectrality of some piecewise smooth curves and unions of line segments Lev and A
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.230750Z
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.
Observation 9e61f2f0-eec8-4f4f-8ad2-c3abad5495c9 · outbound
This paper cites Lai and A.
Non-spectrality of some piecewise smooth curves and unions of line segments Lai and A
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.220116Z
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.
Observation e3973604-fd47-45f3-b022-5cb7612f0c2a · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.212883Z
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.
Observation b640201b-dfbd-4e7b-b013-c26650daaadc · outbound
This paper cites aba and Y.
Non-spectrality of some piecewise smooth curves and unions of line segments aba and Y
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:32:24.205408Z
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.
Observation 2cd49a56-2b96-49ca-97ef-e71f25adf01b · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.197202Z
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.
Observation 228778c7-4422-44df-8b60-5aa774057dd1 · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.190462Z
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.
Observation 60f2adaf-85d0-4e64-90b1-1d8b2cc514ed · outbound
This paper cites an unresolved cited work.
Non-spectrality of some piecewise smooth curves and unions of line segments Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:32:24.179640Z
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.
Pith citing papers
Observation 8dee0dcb-4faa-4195-a8e8-e768a1e8775b · inbound
Fourier frames on smooth surfaces with nonvanishing Gaussian curvature cites this paper.
Fourier frames on smooth surfaces with nonvanishing Gaussian curvature Non-spectrality of some piecewise smooth curves and unions of line segments
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:38:45.634584Z
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.