Pith. sign in

Paper Citation Record · LEDGER

Sphere and disk partition functions in Liouville and in matrix integrals

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 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 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:46:39.525739Z

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

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-24T10:28:03.979345Z digest=sha256:fb6fea5a40f852c7607e1ea2fdafb65a74a9947a8d62f5d890d95c51f1f8ce82

Observation e85f9c45-98d6-4b6d-9b2a-a69059de3e5d · inbound

Boundary terms in string field theory cites this paper.

Boundary terms in string field theory Sphere and disk partition functions in Liouville and in matrix integrals

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T13:01:49.956114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:01:49.956114Z digest=sha256:850aa37857a6e12943c99c1ec92b354d9fb4eda79fc99203203b635da19c4435

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-22T15:52:46.785764Z digest=sha256:e739b440efe3a3be99bb5c922b12cbdd6e24f4d0fd554fc51af93c32d3702c73

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-22T00:17:44.884977Z digest=sha256:03f6faf13014659f24613f9da8192b02edf6cb7bb79a36c7dcd9709aebb93999

Observation b36c967d-9798-44a9-aca6-f8cdd7fc2e9e · inbound

The On-shell Gravity Action and Linear Dilaton Holography cites this paper.

The On-shell Gravity Action and Linear Dilaton Holography Sphere and disk partition functions in Liouville and in matrix integrals

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-15T17:46:39.525739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:46:39.525739Z digest=sha256:37e106712dc09aca895e65e845a9f4c1278545e2cf511ba8476108e0fde3552a

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=sha256:9033c6e7c3c2f8ce82e60d18a23817e75d8e96b2316db1f76abd82b2272d29b3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T12:53:33.444468Z digest=sha256:0bde75bb7297c3d0b7d2f268691908fc3f5a7900c94de8eefd7f461e647d57af

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-16T21:13:10.577754Z digest=sha256:e166c59526f589779f08a3c723deda72c8083b98bae561d6dbd0541cd79bcf88

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=sha256:34c5ba539508a636a471521eb13fe705c155afa2d85f94efcf205afcdae5df71

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-08T17:59:41.623198Z digest=sha256:4278c63b6e373d8a4a8ebfaae60beb5e42b432cdcbdb1c634fe13224230ff0dc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-14T21:48:13.718447Z digest=sha256:2ec79a74659491180b18617fd42aa9940e12b433788480f410377bfcde3bf5ae

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=sha256:4da0d05d27854bc65b65c92248090683b16a2589edcf59e1724ccfdc66749b51