Paper Citation Record · LEDGER

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle

As of 21 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2505.16629.

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

pith.paper-citation-record.v1
2505.16629 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:02:44.723812Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy7
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25e36c63-909e-434d-8734-b8366eb6f1cb · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:43.186063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7350339d-8ce6-4b36-b86b-26f3e171f1c1 · outbound

This paper cites Adams, C.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Adams, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:47.126465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f4d0733a-905b-49da-9776-e99e47549694 · outbound

This paper cites Akama, E.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Akama, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:47.002116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ddc3eb73-9b6a-456d-8122-0d7567d994a8 · outbound

This paper cites Tilings of the Sphere by Congruent Quadrilaterals or Triangles.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Tilings of the Sphere by Congruent Quadrilaterals or Triangles

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:43.373375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e8b4034-4485-42dc-821b-2e94cbabe944 · outbound

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

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 $a^4b$

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:43.466273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da43ce92-0eeb-4b3a-bc18-6921d75111e3 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:46.884899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ee85d7fc-89ed-4f09-b894-5c846d295c31 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:46.828708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bb2cfa46-18bd-4db1-ab53-07c4fac75e63 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:46.618807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 402d15a8-f9e7-4b07-bd94-114a0fc11863 · outbound

This paper cites Dawson, B.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Dawson, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:46.489098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9a611c9-9687-4953-aa96-7b8b03eb8a34 · outbound

This paper cites Dawson, B.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Dawson, B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:46.322259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 53cbf1ec-380c-4909-958b-5a4c9c6027b2 · outbound

This paper cites Dawson, B.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Dawson, B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:46.240362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4b3b5b3c-9be0-45a0-96e5-e52d8051d035 · outbound

This paper cites Gr¨ unbaum, G.C.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Gr¨ unbaum, G.C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:46.082879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62e7ea24-a102-442e-b4e6-92010929b0fc · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.973684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bdee271d-bedb-4c78-9b3e-5b3a22e071d7 · outbound

This paper cites Moduli Spaces of Pentagonal Subdivision Tilings.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Moduli Spaces of Pentagonal Subdivision Tilings

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:44.119419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c854f67-3a29-495c-bfed-5a39eb779ef7 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.841012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8ec2bffe-99fa-422c-80f8-51d85e949db0 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.756231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b5c28678-1986-43a6-818f-0b3f150c825d · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.685325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation caf107b0-f02f-4a5f-8778-9f9b53fb2ce2 · outbound

This paper cites Exhaustive search of convex pentagons which tile the plane.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Exhaustive search of convex pentagons which tile the plane

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:44.205261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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 c14e5d94-454e-41f1-83f8-cea494cbca27 · outbound

This paper cites Sommerville.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Sommerville

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:45.650928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43e7450c-fe37-43a9-b757-cc884c0e30fa · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.542980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0f93568b-0d19-4753-9e1d-62ac065ad34a · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:45.352916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ff4658b-4b45-4a40-9f2b-e45ab1aacab0 · outbound

This paper cites an unresolved cited work.

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:44.987899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.