Paper Citation Record · LEDGER

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations

As of 15 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2608.07909.

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

pith.paper-citation-record.v1
2608.07909 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:52:16.722891Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

44 of 44 outbound references displayed

verified exact3
verified fuzzy21
unresolved20
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29f8ff2d-88cc-4b00-8e74-bf7b0b328f8e · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.536644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9b62490-2cf7-4a59-a3cc-8ffa69fe8e1a · outbound

This paper cites Lema ˆ ıtre, L’Univers en expansion,Annales Soc.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Lema ˆ ıtre, L’Univers en expansion,Annales Soc

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.522094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 97e82c2c-5c4b-4260-a770-b8b0cb8df7b1 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.506801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ad3f433d-4303-4ca3-9ef8-90a4730b9e3d · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.492152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3290ab83-814e-43d3-afbd-181dace74c58 · outbound

This paper cites Pooley, Background Independence, Diffeomorphism Invariance and the Meaning of Coordinates,Einst.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Pooley, Background Independence, Diffeomorphism Invariance and the Meaning of Coordinates,Einst

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.478450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0aa5f938-c4ce-4cc3-894e-a59a752c3e34 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.463846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8f244c91-81dc-480a-acc9-4c2e602fb083 · outbound

This paper cites Israel, Event horizons in static vacuum space-times,Phys.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Israel, Event horizons in static vacuum space-times,Phys

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.449927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation be2c10ba-4fb1-46dd-b51c-901415d8cace · outbound

This paper cites Diek, Another Look at General Covariance and the Equivalence of Reference Systems,Stud.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Diek, Another Look at General Covariance and the Equivalence of Reference Systems,Stud

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.436122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f349918-73ae-40e9-aac6-b916a5d39eab · outbound

This paper cites Fromholz, E.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Fromholz, E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.422377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bfd843d6-e2fd-4601-ae2a-22fb56189aab · outbound

This paper cites Giovanelli, Nothing but coincidences: the point-coincidence and Ein- stein’s struggle with the meaning of coordinates in physics,Euro.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Giovanelli, Nothing but coincidences: the point-coincidence and Ein- stein’s struggle with the meaning of coordinates in physics,Euro

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.407937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5a3cf473-575d-4791-b7fe-587c2933f41b · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.392657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 84faf61d-0a56-4674-86c2-8518012257f7 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.378346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23b4350b-0a39-43b1-9d4d-59c3196445b0 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.363701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0f0ba441-d8e2-4939-b717-053ac272fc8c · outbound

This paper cites Visser, Efficient Computation of Null Affine Parameters,Universe9 (2023) 521.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Visser, Efficient Computation of Null Affine Parameters,Universe9 (2023) 521

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.349008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 046aa635-d8b0-488b-87dd-cf4d80a7ddc5 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.334366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b59a777-5924-432b-8f20-038b56aa41cb · outbound

This paper cites A Link Between Black Holes and the Golden Ratio.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations A Link Between Black Holes and the Golden Ratio

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:52:16.938986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6dca7d52-16ef-48f1-a96a-cca3c8ab7671 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.319418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fe9113b7-90cb-4dd6-a1d4-c53795a8914e · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.305601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80e8ef64-04e9-429d-b9f6-83eb76779d4a · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.291776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 16397634-36c9-431b-8d38-533d7363f310 · outbound

This paper cites Ayon-Beato and Alberto Garcia, Regular black hole in general rela- tivity coupled to nonlinear electrodynamics,Phys.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Ayon-Beato and Alberto Garcia, Regular black hole in general rela- tivity coupled to nonlinear electrodynamics,Phys

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.277972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3808bfc5-6d0d-4519-85b1-db18ad787c22 · outbound

This paper cites Jacobson, When is gtt grr = -1?Class.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Jacobson, When is gtt grr = -1?Class

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.264659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6657bc5-1be8-42ce-8dd9-6b97b0aa1d67 · outbound

This paper cites Mitra, When can an ”Expanding Universe” look ”Static” and vice versa: A comprehensive study,Int.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Mitra, When can an ”Expanding Universe” look ”Static” and vice versa: A comprehensive study,Int

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.251379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c311231-0132-499a-8f5c-45ebca9b7d9e · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.237973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4bd36162-bd17-4cd1-9fcb-d12e319afe6b · outbound

This paper cites Susskind, and J.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Susskind, and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.223648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ee0e6022-d8f6-40ee-a68a-44035a41f63d · outbound

This paper cites Rindler, Kruskal Space and the Uniformly Accelerated Frame,Am.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Rindler, Kruskal Space and the Uniformly Accelerated Frame,Am

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.207827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0bab872f-2ae2-4418-a7fd-ab2e8c7d67ba · outbound

This paper cites Dray, Differential forms and the geometry of general relativity (CRC Press, Boca Raton FL, 2014).

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Dray, Differential forms and the geometry of general relativity (CRC Press, Boca Raton FL, 2014)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.192305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0175f13e-385a-4189-bd18-ef936214cb73 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.176937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 687ee295-4405-496b-a3ba-84e0b470c019 · outbound

This paper cites Fronsdal, Completion and Embedding of the Schwarzschild Solution, Phys.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Fronsdal, Completion and Embedding of the Schwarzschild Solution, Phys

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.162032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ca85e967-1a66-43df-9ea7-40a53710d31c · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.146891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9e0162f-7a75-4270-84dd-672772fc7039 · outbound

This paper cites Szekeres, On the Singularities of a Riemannian Manifold,Publ.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Szekeres, On the Singularities of a Riemannian Manifold,Publ

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.131863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 91aeb363-39cf-423d-8e62-c17ac3cbe3ed · outbound

This paper cites P¨ ossel, Black holes, Achilles and the original tortoise coordinate, Eur.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations P¨ ossel, Black holes, Achilles and the original tortoise coordinate, Eur

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.116315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e14b2a90-993b-427c-8648-ee7db6e08a99 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.101873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0f1c2d98-55e8-488e-ae45-cd737ae64fac · outbound

This paper cites Bravo-Gaete, S.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Bravo-Gaete, S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.087370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dac3811a-0f1c-4640-9157-86254841a7c1 · outbound

This paper cites Universal coordinates for Schwarzschild black holes.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Universal coordinates for Schwarzschild black holes

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:52:16.917980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fe200377-ae90-41ca-95a7-51a72c9a3cbd · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 35

Resolution: verified exact; raw_fallback, observed 2026-08-12T00:52:16.895652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08e2bcd6-2e21-46a6-89c4-ee1ca89cd355 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.073073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2508a8dd-bb3c-4be3-8d11-fe4ab69eefcc · outbound

This paper cites Anatriello and Giovanni Vincenzi, Logarithmic spirals and continue triangles,J.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Anatriello and Giovanni Vincenzi, Logarithmic spirals and continue triangles,J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.060000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1202eb25-2074-4ee5-84c7-02d7d419de89 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.045865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dcf40c10-7f50-4885-bd8e-cd9254ff682d · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:17.031455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d5ea833f-c0d2-4310-a451-e82542558ebb · outbound

This paper cites Gron and E.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Gron and E

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.016252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ccca202d-8d25-4c7a-ac10-f73e0dd6b23d · outbound

This paper cites Boersma and T.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Boersma and T

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:17.000400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3240bffd-ba43-49eb-b256-d4ebffa6a536 · outbound

This paper cites Amelino-Camelia, L.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Amelino-Camelia, L

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:52:16.983818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a97c8f7-128b-4eac-8e88-17d1bc0faad1 · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:16.967762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b7f8ae75-449d-4408-a9ad-d9e39632867c · outbound

This paper cites an unresolved cited work.

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:52:16.953114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.