Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:44:31.139619Z
Paper Citation Record · LEDGER
On structured cosine sums and applications
As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.20907.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy17
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5a80c7e1-a070-44f0-85a4-9fe7f3cc0025 · outbound
This paper cites Spectra of C ayley graphs.
On structured cosine sums and applications Spectra of C ayley graphs
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.472555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c5883789-c5fd-4238-9d13-01845df0ae55 · outbound
This paper cites Trigonometric D iophantine equations (on vanishing sums of roots of unity).
On structured cosine sums and applications Trigonometric D iophantine equations (on vanishing sums of roots of unity)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.457444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d26b93ba-6127-4ced-b607-b1f5d2b99b54 · outbound
This paper cites On the factorization of cyclic groups.
On structured cosine sums and applications On the factorization of cyclic groups
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.440571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bd2db98d-ee84-4712-b6d0-f707162c7b61 · outbound
This paper cites Classification of rational angles in plane lattices.
On structured cosine sums and applications Classification of rational angles in plane lattices
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.425776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation afc3304e-64e2-4f98-9594-965d68358732 · outbound
This paper cites An introduction to the theory of numbers, sixth edition.
On structured cosine sums and applications An introduction to the theory of numbers, sixth edition
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.409344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 06429c2f-c5c2-431f-b6ff-894175869e56 · outbound
This paper cites Equiangular lines with a fixed angle.
On structured cosine sums and applications Equiangular lines with a fixed angle
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.391695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b3aa2227-387f-4190-916b-7db41128e2a1 · outbound
This paper cites Space vectors forming rational angles.
On structured cosine sums and applications Space vectors forming rational angles
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:31.083356Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d5c6c7b-4a9c-4b8d-b4ca-90694653cae8 · outbound
This paper cites Configurations with rational angles and trigonometric D iophantine equations.
On structured cosine sums and applications Configurations with rational angles and trigonometric D iophantine equations
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.373605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 92c1e10d-755b-4294-a47f-521bf5ba97a7 · outbound
This paper cites Vanishing sums of roots of unity.
On structured cosine sums and applications Vanishing sums of roots of unity
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.356012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dcf1a159-91af-4c3f-9d1a-b9a9dc933a91 · outbound
This paper cites On vanishing sums of roots of unity.
On structured cosine sums and applications On vanishing sums of roots of unity
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.339027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3069c757-ec3a-4b67-a1ea-fc5424e1f2cc · outbound
This paper cites On linear relations between roots of unity.
On structured cosine sums and applications On linear relations between roots of unity
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.322714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 18e90e5d-7368-4ea1-ba81-210cf5334817 · outbound
This paper cites Rational products of sines of rational angles.
On structured cosine sums and applications Rational products of sines of rational angles
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.306005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e5909486-5115-42a7-893f-a7e189138735 · outbound
This paper cites Some results on roots of unity, with an application to a D iophantine problem.
On structured cosine sums and applications Some results on roots of unity, with an application to a D iophantine problem
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.288653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 46d84d5e-375d-4227-8922-1f4a99b9b578 · outbound
This paper cites The number of intersection points made by the diagonals of a regular polygon.
On structured cosine sums and applications The number of intersection points made by the diagonals of a regular polygon
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.267023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b53d1862-a421-4115-9e5e-793c2f21de88 · outbound
This paper cites Ein B eitrag zum P roblem der F aktorisation von endlichen abelschen G ruppen.
On structured cosine sums and applications Ein B eitrag zum P roblem der F aktorisation von endlichen abelschen G ruppen
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.247411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b6ca37e2-e0b3-4546-8e5e-e8ea5d75736f · outbound
This paper cites A note on the cyclotomic polynomial.
On structured cosine sums and applications A note on the cyclotomic polynomial
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.229399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e4148db6-0c13-47dd-bfdb-5fac49e08ca9 · outbound
This paper cites Uhlenbeck.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.213891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a85bfe80-7697-424d-9f90-00502e112efd · outbound
This paper cites W odarski.
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:31.196090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.