Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2412.08492.

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

pith.paper-citation-record.v1
2412.08492 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:51:41.248044Z

measured 13 of 13 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:02:44.209728Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:56:41.262398Z

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy2
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 073ce038-732b-43ee-a1d1-144dc2957f40 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.413835Z

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 89785b82-18de-4fa8-a9e4-913599fd14e8 · outbound

This paper cites Akama, E.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Akama, E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:51:41.401062Z

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 c9ac3ec5-b285-4634-9991-acb87d8e2060 · outbound

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

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

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T17:51:41.206712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a1b8301-2c94-49cb-8d95-389609ba666c · outbound

This paper cites Gr¨ unbaum, G.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Gr¨ unbaum, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:51:41.388367Z

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 6176717a-6438-4972-a950-d12a387800b9 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.370892Z

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 2e82dbb3-6841-4537-b47b-0ca26f55cd27 · outbound

This paper cites Moduli Spaces of Pentagonal Subdivision Tilings.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Moduli Spaces of Pentagonal Subdivision Tilings

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T17:51:41.222363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40c58c2c-ee03-4e84-a42e-7aac38c03497 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.358819Z

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 381649e7-d990-4e8e-b1dc-478a5ad7d2ad · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.346760Z

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 58ba55d1-abaa-436f-985a-0668ae4ea2a2 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.333707Z

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 2f9f531a-a0b4-4773-a98a-4a3e743c0c5e · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.321396Z

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 10805998-26b5-466b-bb5a-cca1f2418714 · outbound

This paper cites an unresolved cited work.

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:51:41.308703Z

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

Observation 1c9df767-247a-4f76-952d-92d55cf11ab0 · inbound

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle cites this paper.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:44.209728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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