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Paper Citation Record · LEDGER

Volume comparison on finite-volume hyperbolic 3-manifolds

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2509.03566.

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

pith.paper-citation-record.v1
2509.03566 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:02:30.482489Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b333f0e-db63-4eb7-8939-f0391a492af9 · outbound

This paper cites Agol, P.A.

Volume comparison on finite-volume hyperbolic 3-manifolds Agol, P.A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:32.991419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:28.866652Z digest=sha256:20ddc5fb7f8ae6cadb063a8a93e97cece343ed5140b803fdd8ea4cc761709d80

Observation be4182fd-3885-4eed-ab02-fb64521a0ee9 · outbound

This paper cites Angenent.

Volume comparison on finite-volume hyperbolic 3-manifolds Angenent

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:32.825727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:28.924034Z digest=sha256:44d3ffa3a9f3fa2d5ef6df4fdd7d2934f3cbed6e9fb595088e57df5228c4fa8a

Observation d22ea51e-c2f5-48ca-8f48-4bc7c54a5949 · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:32.619087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:28.956138Z digest=sha256:b44984f284a1b60f102141765411c08bf95a7202b48b8c5959e534c40186b059

Observation 2d07780f-53ad-4f26-8207-06876226c6ba · outbound

This paper cites Bessières, G.

Volume comparison on finite-volume hyperbolic 3-manifolds Bessières, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:32.424739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.024773Z digest=sha256:89e2f0e64e45da60b5cad5c5578f290b0a9de9537987faaf6f1788a289e486e9

Observation 7c3e4b2c-f835-4f5a-80a8-a9aa832c9416 · outbound

This paper cites Bessières, G.

Volume comparison on finite-volume hyperbolic 3-manifolds Bessières, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:32.255199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.061047Z digest=sha256:702987a8b068a1567b19c00d4af647764cf8f4444a93384b072ad2c341094567

Observation a531e838-db2c-46eb-8c04-d2b27f16877b · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:32.069310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.125022Z digest=sha256:b809b8ca0bb9478edf874822605348dcdab10871b1790331abe1893d9d440ddb

Observation 0e69ef42-7ae5-4812-b701-404d0eb2f6cf · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:31.953654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.165190Z digest=sha256:ab4c39ee2e3e3162bbbefd0a3bdc60f86e22b4d6dc4655a0a4ed08b991d33c96

Observation 8f041c3d-efeb-4d8e-bcde-6becc528531e · outbound

This paper cites Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds.

Volume comparison on finite-volume hyperbolic 3-manifolds Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:02:30.731632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.230515Z digest=sha256:25d629eb9b6a509ece57f8244200864924d886a299ac7a1cf570f4a7c620e4e8

Observation d13bdddc-8eb1-4ca2-a441-d0c3b3582bba · outbound

This paper cites On the stability of Ricci flow on hyperbolic 3-manifolds of finite volume.

Volume comparison on finite-volume hyperbolic 3-manifolds On the stability of Ricci flow on hyperbolic 3-manifolds of finite volume

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:02:30.618486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.301645Z digest=sha256:f6bcb250552b25c2e3b7269771b2cf1e267b703ecdf091f34541e403f555d185

Observation 8197a8db-c01d-4c0c-adc9-5a10c6f0c938 · outbound

This paper cites Knopf and A.

Volume comparison on finite-volume hyperbolic 3-manifolds Knopf and A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:31.838346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.455061Z digest=sha256:653d854d957198e527fdead120ab46bd0cd1e0abea31c3bee6f49d5d95510174

Observation 2ee032ac-99af-4fe6-822f-9ff9181de1af · outbound

This paper cites Lunardi.Interpolation Theory.

Volume comparison on finite-volume hyperbolic 3-manifolds Lunardi.Interpolation Theory

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:31.667871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.563287Z digest=sha256:0a9ec7564de61df4a8b58e8b7c66999b59c4879dbb6dec7641de1354a38b6791

Observation dad4b1cf-21a5-46ee-afd7-aa48e89d881e · outbound

This paper cites Annali della Scuola Normale Superiore di Pisa, 2:311–393, 1975.

Volume comparison on finite-volume hyperbolic 3-manifolds Annali della Scuola Normale Superiore di Pisa, 2:311–393, 1975

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:31.543914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.684736Z digest=sha256:7b47983aa3e2b8c0fa42774a31c23dec2c913dc1e3c225a4b5900cf35c6547c8

Observation 1a1ab083-32bd-4e18-8ed6-cad0b9a3d600 · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:31.439554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.809477Z digest=sha256:5f0c9be98e7fb100519ea9865529e1e7ec3c93db69d15a1ccd608509f6929446

Observation 36503419-d47c-45d4-85f4-916446d5c052 · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:31.341872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:29.919266Z digest=sha256:2a5781c15f9412db95d816491e74319d33162488eef85691d8783da285654e4d

Observation e1fd2c27-8182-4763-8d05-88013e14e92f · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:31.226361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:30.063588Z digest=sha256:38370518d69bb77abfab75d3f202ef3a94fde0720cd22e144456aaac57886c8b

Observation ba4e699e-3a69-4916-91ed-fa8c36b2cafc · outbound

This paper cites an unresolved cited work.

Volume comparison on finite-volume hyperbolic 3-manifolds Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:02:31.099778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:30.204797Z digest=sha256:fedec3ba304828c0a7d6e94d0a424b7dde8ba2a5f2ea41a7aa402622ecdc1154

Observation eb6d57fd-9d3c-4b31-9848-2b70c9c229ae · outbound

This paper cites Simonett.

Volume comparison on finite-volume hyperbolic 3-manifolds Simonett

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:30.958597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:30.354214Z digest=sha256:e5bdfb1e432352af15ba7d46f54b8ebe90b28030832b49082a702a1eb3ef5c7a

Observation ae2aec08-2a7f-4f5d-bb4e-f02ba85281d8 · outbound

This paper cites Triebel.Interpolation Theory, Function Spaces, Differential Operators.

Volume comparison on finite-volume hyperbolic 3-manifolds Triebel.Interpolation Theory, Function Spaces, Differential Operators

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:02:30.844345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:02:30.482489Z digest=sha256:e21ac2e50dc636f0d6a13e214094703c27218ef7552cf1fc8c0561d9578660b1

Pith citing papers

No inbound Pith citation observations are available.