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Paper Citation Record · LEDGER

Differentiability and Other Properties of the Cosmological Volume Function

As of 10 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2512.11626.

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

pith.paper-citation-record.v1
2512.11626 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:55:10.321623Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d955d4d9-4bf0-41bf-8623-67016637fb5d · outbound

This paper cites Andersson, G.

Differentiability and Other Properties of the Cosmological Volume Function Andersson, G

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.249656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.249656Z digest=sha256:21de87914e6a6cdb7a81a9a1c546a56f315ce5644316f77d2b4e684ab94626d7

Observation 757d339c-ce35-4888-8adc-6085b5a99c4e · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.410210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.410210Z digest=sha256:aa32c15c1791c239804cf8fe53928abf53aa9ec4ab6a54f4e0cae6855b6c9f03

Observation 79290a68-a77a-4755-a4f6-30f61f90e0ce · outbound

This paper cites Burgos, J.

Differentiability and Other Properties of the Cosmological Volume Function Burgos, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.571088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.571088Z digest=sha256:35c8f1efd0100d376dc2b9df642f8935d44c563471ace03a0ef51c1a0ef1ae97

Observation 8643724e-2e87-4940-b786-bc580f4f88b2 · outbound

This paper cites Burtscher and L.

Differentiability and Other Properties of the Cosmological Volume Function Burtscher and L

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.607137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.607137Z digest=sha256:dff6e0ed3680e4f6ccd37843f6047a814814fe0ed2e82ca922b81647511e07f2

Observation 4fa8422c-2129-4676-a95b-7e7f49e0b12a · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.637987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.637987Z digest=sha256:4952b069150041015b3b11e464baa29f1d4023d7a968518d4aff2bf1fcca1398

Observation 6faad38d-4a16-4438-b740-aa83882949f0 · outbound

This paper cites A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds.

Differentiability and Other Properties of the Cosmological Volume Function A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.698743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.698743Z digest=sha256:36994d835ac7f632bb5b1e2d6edcababcdba5eb25233edb523d7d6d0f6c43f2c

Observation 37dbbfbc-0abb-45cf-aefa-bdf52dbeeea2 · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.837406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.837406Z digest=sha256:c3a45c0da0884b986ecdc47fdff95189a2e9037dfa39a5c433dbc5e6c2d92189

Observation 4d0b6ed9-db0f-49f8-a843-a64e3c67395b · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.980710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.980710Z digest=sha256:43c179829b26fffa9546a6673eab8f1fa533b25fe2edb01c36caa6bdfee7ece5

Observation 2b43d5a0-0e8f-4ea4-a66c-0d73278460c4 · outbound

This paper cites Flanders.

Differentiability and Other Properties of the Cosmological Volume Function Flanders

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.049380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.049380Z digest=sha256:468d381a3ee506521500162a76a9754c8cd0898c63c5490a9b1a8c0c444db74d

Observation f1cea6f0-255f-4bfd-bc11-cb4e064408a4 · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.053768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.053768Z digest=sha256:1b68b9042eee508a2bb00d58f4b104c389f77f901a2759d43eeda0840e2d7310

Observation 510a2047-3570-457e-99c2-35628d9b97ce · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.127483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.127483Z digest=sha256:7c0c2fc4c1e7edcc9ae2cbeaa8fb014a9e70bd4d235bd67282f536d348184a21

Observation 0201203a-d789-4559-bd10-288b7251f9ee · outbound

This paper cites Garc ´ ıa-Heveling.

Differentiability and Other Properties of the Cosmological Volume Function Garc ´ ıa-Heveling

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.235696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.235696Z digest=sha256:718cac5ed333278496082740e633456c8a01225a2a9c50162c095e27e2ac0bdd

Observation 0ea968b4-78bf-4e20-a052-73c0298e886e · outbound

This paper cites Garc ´ ıa-Heveling and A.

Differentiability and Other Properties of the Cosmological Volume Function Garc ´ ıa-Heveling and A

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.385950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.385950Z digest=sha256:397f1d1378c1834bc3259e7bbb50924474e350e592368e846d3d5528d4bb0a1c

Observation 3ad0de08-8420-419b-8f2e-102d8ad734f6 · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.474103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.474103Z digest=sha256:80cc00da16c04bc0a2fd78418f5d0718099dcda210cabe60237c4c4629ccc22d

Observation d8ce0605-00a3-4a7e-a4db-89c3081d34cf · outbound

This paper cites Graf and C.

Differentiability and Other Properties of the Cosmological Volume Function Graf and C

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.628527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.628527Z digest=sha256:147e4b47a8e23e3ebdfab8b9f49ad276cc837ffd545b6a482b91c83e485c1086

Observation b8101b34-38de-41eb-a7db-3774d39a9513 · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.738732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.738732Z digest=sha256:92b53138154e6b56942269b9045fc8b204dd034b2677e02e121fa24389f3182f

Observation 1caf4b72-ffc4-412f-ba4e-35f99f902a59 · outbound

This paper cites Sakovich and C.

Differentiability and Other Properties of the Cosmological Volume Function Sakovich and C

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:09.858577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:09.858577Z digest=sha256:94aeda00c1a9a1461d31db1d831680d1e0b954d330e322150167d13a27dc8ac8

Observation e3678be4-7d0c-449e-8c72-bff88e52b4d1 · outbound

This paper cites Sakovich and C.

Differentiability and Other Properties of the Cosmological Volume Function Sakovich and C

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:10.018618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:10.018618Z digest=sha256:bb4bc0e09e1b447a78b350172d18da8ebced951606a9dd2760391d05684aa403

Observation b1273a60-0797-422a-b530-7673477baa73 · outbound

This paper cites Sbierski.

Differentiability and Other Properties of the Cosmological Volume Function Sbierski

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:10.130795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:10.130795Z digest=sha256:0c5a1d1875d2ee405cd5695e72324f5f44c2a3ef91f9ea9cb5e85aeb76e66c6d

Observation 7a37ca45-7f3b-4d49-bd54-2e8bc1cbee34 · outbound

This paper cites Sormani and C.

Differentiability and Other Properties of the Cosmological Volume Function Sormani and C

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:10.236084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:10.236084Z digest=sha256:1a2bde53c7c9e78119467a51ff9a7c1a8f4d468661b7f7cad70d8a2aba871c72

Observation 4966fdaf-ff91-4f0d-81df-76273e53e2f0 · outbound

This paper cites an unresolved cited work.

Differentiability and Other Properties of the Cosmological Volume Function Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:10.321623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:10.321623Z digest=sha256:2baaa46b8223986626181d6f214c5039db69a4de321ae240123ec28c533fd085

Pith citing papers

No inbound Pith citation observations are available.