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Paper Citation Record · LEDGER

Sphere and disk partition functions in Liouville and in matrix integrals

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2107.01172.

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

pith.paper-citation-record.v1
2107.01172 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:12:38.624205Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T10:29:20.470114Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b67acc50-d974-4835-874a-175595539161 · inbound

All the D-Branes of Resurgence cites this paper.

All the D-Branes of Resurgence Sphere and disk partition functions in Liouville and in matrix integrals

Reference 130

Resolution
verified exact
arxiv_id, observed 2026-05-24T10:29:20.473548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T10:28:03.979345Z digest=sha256:b7cf663db2d1118e04fca30d959f882b66e583752c7b5931c53eec4e65577f83

Observation a2c5831a-2d4c-4b34-9563-a683a963c984 · inbound

M\"obius randomness in the Hartle-Hawking state cites this paper.

M\"obius randomness in the Hartle-Hawking state Sphere and disk partition functions in Liouville and in matrix integrals

Reference 106

Resolution
verified exact
arxiv_id, observed 2026-05-22T15:54:58.845557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T15:52:46.785764Z digest=sha256:3c88ec5ceb38c7ee6aee9e528fefde95c6b359b760a7a99d9df10b638ce83d8b

Observation fd5d7ad8-822c-493b-a726-b43093e11fef · inbound

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff cites this paper.

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff Sphere and disk partition functions in Liouville and in matrix integrals

Reference 89

Resolution
verified exact
arxiv_id, observed 2026-05-22T00:20:49.409610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T00:17:44.884977Z digest=sha256:37c34cba3e94b625c580c8f29ce56573ba64c61c7b7700b4df60b53789c70e47

Observation 1cc701da-2679-4ab0-adf7-7e9c6e186157 · inbound

A Brief Note on Complex AdS-Schwarzschild Black Holes cites this paper.

A Brief Note on Complex AdS-Schwarzschild Black Holes Sphere and disk partition functions in Liouville and in matrix integrals

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-04T20:12:38.624205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:12:38.624205Z digest=sha256:8eceb63099f856629bd80a523b036568280b9314d60e11cbad60c94cca997b6f

Observation b1cc797a-e1bb-4f2c-9a1a-5d775ceeb4d9 · inbound

Aspects of strings without spacetime supersymmetry cites this paper.

Aspects of strings without spacetime supersymmetry Sphere and disk partition functions in Liouville and in matrix integrals

Reference 47

Resolution
malformed identifier
arxiv_id, observed 2026-05-18T12:56:24.693127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T12:53:33.444468Z digest=sha256:6f3b3f98197a80c5abf714550e1bbf13431a1a0e06164c46110f43b63366e1cf

Observation d1c780ef-b0c4-4a73-920a-0d2c7372bbad · inbound

Quantum Liouville Cosmology cites this paper.

Quantum Liouville Cosmology Sphere and disk partition functions in Liouville and in matrix integrals

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-16T21:13:32.173757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T21:13:10.577754Z digest=sha256:63803d71e364af734db87be49a5ea708dd173c558daabd9f09268515c4d8debb

Observation e33da52b-9ee3-4a21-9ce4-01022c93919a · inbound

Quantum Liouville Cosmology cites this paper.

Quantum Liouville Cosmology Sphere and disk partition functions in Liouville and in matrix integrals

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T15:48:51.643309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:48:51.643309Z digest=sha256:383a2e08a4300b6954c3ca9624013bc1f331a64132d1b68fa20784401aee726a

Observation 7b3c6b3b-21b2-4cd9-9b34-7cd1a49535dc · inbound

The Fate of Nucleated Black Holes in de Sitter Quantum Gravity cites this paper.

The Fate of Nucleated Black Holes in de Sitter Quantum Gravity Sphere and disk partition functions in Liouville and in matrix integrals

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-05-09T06:50:42.262048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T17:59:41.623198Z digest=sha256:e399283a9b18be35e0c53479ba254549e88a333cc516beab5f693fdf2fe116a4

Observation fa033f74-67af-4052-9340-1890a60918b4 · inbound

The Fate of Nucleated Black Holes in de Sitter Quantum Gravity cites this paper.

The Fate of Nucleated Black Holes in de Sitter Quantum Gravity Sphere and disk partition functions in Liouville and in matrix integrals

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T21:49:29.660959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-14T21:48:13.718447Z digest=sha256:10b6e5fb8b902cef6ee1604f1009d19f5501ee0e342d6945483eabb35bc06f23

Observation 0d53280a-8eab-4f73-aa5b-013a13707e81 · inbound

Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory cites this paper.

Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory Sphere and disk partition functions in Liouville and in matrix integrals

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-01T01:55:59.957555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T01:55:59.957555Z digest=sha256:a904f06fdc51895dae870557bd9219ed7726b6b567955ce26b3b937e30b6dede