Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.07038.

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

pith.paper-citation-record.v1
2507.07038 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:56:41.239368Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

verified exact3
verified fuzzy4
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f50cc8e-cf95-4f21-b241-a71e719a2e79 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.483471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d38074d2-bf8f-4eec-9d6e-de19bd58d16b · outbound

This paper cites Akama, E.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Akama, E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:56:41.474293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ebe88ae1-cb12-472c-8ba0-5ab214fb1890 · outbound

This paper cites Aliev, C.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Aliev, C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:56:41.466321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 186c35bb-450b-4144-89eb-2b1faddf0d8f · outbound

This paper cites Beukers, C.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Beukers, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:56:41.457242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64d17c99-a3c1-4350-a80e-3b41e84883b0 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.448596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2fc6335f-283a-4e75-8b28-25d69503c219 · outbound

This paper cites Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T18:56:41.204280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 502071ae-ff6a-46ad-abde-9af2a23c6992 · outbound

This paper cites Gr¨ unbaum, G.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Gr¨ unbaum, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:56:41.440470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

This paper cites Space vectors forming rational angles.

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 2026-08-19T06:32:44.657259+00:00.

Observation 58a4d3f5-80c0-43c1-bf7f-354d8fada782 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.431138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 91ab305d-a816-4b68-8b51-9d55581e1289 · outbound

This paper cites Moduli Spaces of Pentagonal Subdivision Tilings.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Moduli Spaces of Pentagonal Subdivision Tilings

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:56:41.280398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 760656ed-0489-4676-a786-81beef0b682e · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.421912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa0f148a-d478-4be4-8b08-ceb934a878d1 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.346129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7024b758-d60b-4683-a2c2-bff75f0f264b · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.337324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9978cf4f-9a01-4fd2-b49e-a2fc87589d8c · outbound

This paper cites Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles.

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

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:56:41.267851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c1b61b60-6b42-4f42-a58c-b2157b955faa · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.327237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a4abed8-1360-40d0-aabe-1f05acd16213 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.318297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a63871ea-0764-47f1-8ff3-b2d902ffb2ce · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:56:41.309972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.