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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

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

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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=sha256:1e6e54c61634725b6761168d02917a8227b470e23a26c7b03dff912ab8f4451e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T12:53:33.444468Z digest=sha256:d7d9fb0afaa2dbd80f09e0df0ce8084a01a8d6d05ebfff52f4f65cf9f9f58bf3

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=sha256:71f1000a5572ad153f9f1eb28f76978fd7f0d51423ecf4371cc333f936c7eb26

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T21:13:10.577754Z digest=sha256:6b3c64deecce8507b230cf3b78acddc6075fec179654a479bbcaecec36d872c0

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=sha256:0fcc25025499d322cf8b62beb4e1d9fa6d9a3ef83451563efbe99c6f75b01c54

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T06:45:27.248580Z digest=sha256:2c9028b7335f75ed1b1c4e47bd2bbcf3cbd76f48c3e1e98ac53919e85526a988

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T18:16:11.715528Z digest=sha256:35b549e9408c12c5c59ec2578b574ed2e8b378d5b7dd29960e324d213b93ff36

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=sha256:2d9e42cd72aabd2e9ddbadfa5cffd6de59e1c5e0f116b2f6bf57fca51ad815cc

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-11T02:17:15.721708Z digest=sha256:4e97642efa0c1a40f4270636fd8b2d4bdff1314c0d8fff10db3c508ae255378c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T01:29:19.115426Z digest=sha256:ca96cbc62325925664a3844b7cfeb82d415a4f434f4206cfe2f0014fb2ce660a

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:18:15.282463Z digest=sha256:b8818b2560ce9e607d4ee26227b827990fd26deade200fb5f03da0eae93ef9b5

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:c0a3722bf18f2c5dc41f17c4970063b814ec3c9423ae72baa5843177877e5908

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:c67f490faf0f27b0f19baf90568cae13da40160a5fc8367f7b39bfeed28065ec

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=sha256:967cd828c14fe83dd2faca63cd27c18da5b6b542d7f3376a7ca428dfb4efb126