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Paper Citation Record · LEDGER

Space vectors forming rational angles

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2011.14232.

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

pith.paper-citation-record.v1
2011.14232 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:44:31.083356Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:56:41.288519Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 08f78889-a499-40af-aebb-5362a0cc9bbb · inbound

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles cites this paper.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Space vectors forming rational angles

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:56:41.292298Z

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.

source=pdf_text observed=2026-08-06T18:56:41.211878Z digest=sha256:230c6bb74e966494c213bd785537c71e1223f92d1608ee67f1d2d4d9c3d75964

Observation b3aa2227-387f-4190-916b-7db41128e2a1 · inbound

On structured cosine sums and applications cites this paper.

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.

source=arxiv_source observed=2026-08-15T15:44:31.083356Z digest=sha256:46df38028e5df55eb1638ff3e3e1cfd60cf43c61fcebee3f53b2dfedf5a9ebd0