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Paper Citation Record · LEDGER

The two-sphere partition function in two-dimensional quantum gravity

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2106.01665.

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

pith.paper-citation-record.v1
2106.01665 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:22.182048Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T15:49:56.188492Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d579ceb2-9fe4-4bb4-8107-dc27fdb57061 · inbound

De Sitter Horizon Edge Partition Functions cites this paper.

De Sitter Horizon Edge Partition Functions The two-sphere partition function in two-dimensional quantum gravity

Reference 5

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verified exact
arxiv_id, observed 2026-05-23T04:22:31.830886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:19:00.199831Z digest=sha256:d0feb265eda33522ae7f519f361a4cae395c949ada33ef7e6b99f74d2ec50338

Observation c2cdcc7f-32c8-41ad-a6b8-3f7ea3410b8e · inbound

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

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff The two-sphere partition function in two-dimensional quantum gravity

Reference 37

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verified exact
arxiv_id, observed 2026-05-22T00:20:49.442333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-22T00:17:44.884977Z digest=sha256:7a6a1ec12aa81f51ec8439b4d43463179bddc7c17808516dbe0570d9ec25ef21

Observation 8e9b30fb-2250-4ce7-8f01-973af0c20232 · inbound

Aspects of strings without spacetime supersymmetry cites this paper.

Aspects of strings without spacetime supersymmetry The two-sphere partition function in two-dimensional quantum gravity

Reference 46

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metadata mismatch
arxiv_id, observed 2026-05-18T13:01:24.514154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T12:53:33.444468Z digest=sha256:7eb2e04a33d933b06dcedf8e564d03252ed7d3daeb384ffcf411ae10843dbc52

Observation 90834071-39de-46a1-8316-aa95af5e96a8 · inbound

On the Virasoro Crossing Kernels at Rational Central Charge cites this paper.

On the Virasoro Crossing Kernels at Rational Central Charge The two-sphere partition function in two-dimensional quantum gravity

Reference 34

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no resolver link, observed 2026-08-03T18:57:07.375721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:57:07.375721Z digest=sha256:7681484469ab71901a12def6033f7f2a9a5411b28a9263bbe9ae0a436f825299

Observation 44dc7ca2-cc1b-4b53-b88c-4acd43d7a4cb · inbound

Quantum Liouville Cosmology cites this paper.

Quantum Liouville Cosmology The two-sphere partition function in two-dimensional quantum gravity

Reference 8

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verified exact
arxiv_id, observed 2026-05-16T21:13:32.238753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T21:13:10.577754Z digest=sha256:2276496ea5c1b7e0de9cdcab29af35309023b99d291fab9bde5d15209acec250

Observation fde61be8-e554-43bc-802a-2e9cbd38d9ff · inbound

Quantum Liouville Cosmology cites this paper.

Quantum Liouville Cosmology The two-sphere partition function in two-dimensional quantum gravity

Reference 8

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unresolved
no resolver link, observed 2026-08-03T15:48:49.935289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:48:49.935289Z digest=sha256:9462f16f99bff38afb8e0c7b5782149938bb6f61450ad956c063932150d251d9

Observation 9775b6a0-273d-4a91-bd3d-e818149b346e · inbound

Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity cites this paper.

Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity The two-sphere partition function in two-dimensional quantum gravity

Reference 16

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verified exact
arxiv_id, observed 2026-05-15T06:49:49.457628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T06:45:27.248580Z digest=sha256:50a3bdfbad446c295238e7986f54d14799a1e95b4e0900affcb9892ab21e67e1

Observation a680724b-8c4b-4fd8-8b2c-2d523d6cbdeb · inbound

de Sitter Vacua & pUniverses cites this paper.

de Sitter Vacua & pUniverses The two-sphere partition function in two-dimensional quantum gravity

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:40:39.674740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T18:16:11.715528Z digest=sha256:e886b9951d5efbedb10623e12c7404f0dd0cd5ae93be3e35451f7a050e0abe32

Observation c0c8aca4-a85f-4205-ac65-bee5fd3f5292 · inbound

de Sitter Vacua & pUniverses cites this paper.

de Sitter Vacua & pUniverses The two-sphere partition function in two-dimensional quantum gravity

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-02T15:00:39.927025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T15:00:39.927025Z digest=sha256:a99fb611ce602d58440dcae7edc7d1b33f4bda3bfbff9e28dd137f51a5c5a886

Observation 6208660f-2e03-45a8-96bc-7a4f64540721 · inbound

Undulating Conformal Boundaries in 3D Gravity cites this paper.

Undulating Conformal Boundaries in 3D Gravity The two-sphere partition function in two-dimensional quantum gravity

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:46:00.558374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-11T02:17:15.721708Z digest=sha256:705bac480b371611b54efeaef09718dcd0446bb011dd04707f23aad9b89dc20e

Observation 8e08a8b8-5793-476c-9512-15f2f8086f36 · inbound

An observer's quantization of 3d de Sitter cites this paper.

An observer's quantization of 3d de Sitter The two-sphere partition function in two-dimensional quantum gravity

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-04T15:49:56.192126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T01:29:19.115426Z digest=sha256:f16a605d9af7ba5cd269fa0a4301f4960484adc8c2f491d28cc1e3be74c74d28

Observation 1ee91402-6ce2-4118-b8dc-90c92d188126 · inbound

Aspects of Closed Matricial Worlds cites this paper.

Aspects of Closed Matricial Worlds The two-sphere partition function in two-dimensional quantum gravity

Reference 109

Resolution
unresolved
no resolver link, observed 2026-08-01T07:18:15.282463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:18:15.282463Z digest=sha256:4b9a46df39c6955ff71dee3a7ec01a3ab3e1be3038b79715a77a26e516bf9e8d

Observation 8a688529-5698-45d2-8222-42850d57c151 · inbound

Revealing the conformal symmetry of the discrete series scalars in dS${}_2$ cites this paper.

Revealing the conformal symmetry of the discrete series scalars in dS${}_2$ The two-sphere partition function in two-dimensional quantum gravity

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T07:23:19.732875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:23:19.732875Z digest=sha256:226cfb428a6da1d0a3dc121f5e41803d0cd842c570511381f155e69f0235ee75

Observation 78b0226f-0ad2-4fed-8b0d-d3e276da4bf9 · inbound

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

Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory The two-sphere partition function in two-dimensional quantum gravity

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-01T01:55:57.233293Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T01:55:57.233293Z digest=sha256:58082eff559e300957ad07738a6b86c3b06f7a74c40f6cdc016efbd45124e096

Observation d56e35e9-a056-46e8-b24e-580abee01ad9 · inbound

Holographic entanglement entropy with conformal boundary conditions cites this paper.

Holographic entanglement entropy with conformal boundary conditions The two-sphere partition function in two-dimensional quantum gravity

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T10:57:22.182048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:57:22.182048Z digest=sha256:ff951ebb0dddcf6307309529aaf2ff896e48931ae89717ae9a7778ad8d675e9b