Paper Citation Record · LEDGER

Deforming the Double Liouville String

As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2412.18411.

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

pith.paper-citation-record.v1
2412.18411 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:49:02.406941Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

27 of 27 outbound references displayed

verified exact1
verified fuzzy5
unresolved21
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d79c620-9863-4407-9307-becf3dd709be · outbound

This paper cites In particular, the limit ˆC(0, α 2, α 3) does not vanish for α 2 ⁄= α 3.

Deforming the Double Liouville String In particular, the limit ˆC(0, α 2, α 3) does not vanish for α 2 ⁄= α 3

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:02.757424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1f7d40ad-61fe-4d16-a3c2-2e4a4a44b61d · outbound

This paper cites The complex Liouville string.

Deforming the Double Liouville String The complex Liouville string

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.317344Z

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Observation 554df948-8dc6-465c-a8a8-c2b2c10ebf54 · outbound

This paper cites The Virasoro Minimal String.

Deforming the Double Liouville String The Virasoro Minimal String

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.312924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e296033-e7ab-4d08-b3b7-47536f048454 · outbound

This paper cites The complex Liouville string: the matrix integral.

Deforming the Double Liouville String The complex Liouville string: the matrix integral

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.325609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bd0e6ac-d4b3-40f3-8efe-d4d7878f4a60 · outbound

This paper cites The complex Liouville string: the worldsheet.

Deforming the Double Liouville String The complex Liouville string: the worldsheet

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.321594Z

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Observation 442c1825-e38f-4e5d-aa0c-ab82a367a07b · outbound

This paper cites SYK Correlators from 2D Liouville-de Sitter Gravity.

Deforming the Double Liouville String SYK Correlators from 2D Liouville-de Sitter Gravity

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.334049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 843cad5b-54cd-43cd-8aa1-cb52ce21cebf · outbound

This paper cites The complex Liouville string: worldsheet boundaries and non-perturbative effects.

Deforming the Double Liouville String The complex Liouville string: worldsheet boundaries and non-perturbative effects

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.329871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78e508a9-bcc9-4d5e-8d18-19a19a1e1ccd · outbound

This paper cites Semiclassical geometry in double-scaled SYK.

Deforming the Double Liouville String Semiclassical geometry in double-scaled SYK

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.342135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77db5fe6-15d9-48ea-813f-d21c1d4178e1 · outbound

This paper cites Double-scaled SYK and de Sitter Holography.

Deforming the Double Liouville String Double-scaled SYK and de Sitter Holography

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.337950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b5d4305-edba-4fa9-add2-c462e4168f86 · outbound

This paper cites Two and three-point functions in Liouville theory.

Deforming the Double Liouville String Two and three-point functions in Liouville theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.349387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c09835d-fc8a-4b6a-9267-49fef1c8d21b · outbound

This paper cites Notes on quantum Liouville theory and quantum gravity,.

Deforming the Double Liouville String Notes on quantum Liouville theory and quantum gravity,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:02.734183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7136959f-9ba2-45da-b062-61cf680c79fd · outbound

This paper cites Correlation functions in Liouville theory,.

Deforming the Double Liouville String Correlation functions in Liouville theory,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:02.723354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 28ca905c-a977-455c-b63b-ee56d4f2045e · outbound

This paper cites Structure Constants and Conformal Bootstrap in Liouville Field Theory.

Deforming the Double Liouville String Structure Constants and Conformal Bootstrap in Liouville Field Theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.353216Z

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Unavailable: canonical work link unavailable.

Observation 124ab499-a2f4-4bbd-b1e9-2e319a337316 · outbound

This paper cites 2D quantum gravity partition function on the fluctuating sphere.

Deforming the Double Liouville String 2D quantum gravity partition function on the fluctuating sphere

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.364616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9494eab-94e7-42f3-bb94-3585fe917cdd · outbound

This paper cites Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c<1,.

Deforming the Double Liouville String Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c<1,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:02.711774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2312a2fe-67db-480e-b1de-da4a2ef08bf9 · outbound

This paper cites This turns out to be very important for the calculation of the timelike partition function ˆZL[µ ].

Deforming the Double Liouville String This turns out to be very important for the calculation of the timelike partition function ˆZL[µ ]

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:02.745639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 67c1d90e-4b43-4318-8f16-fc961274eb85 · outbound

This paper cites Perturbed Conformal Field Theory on Fluctuating Sphere.

Deforming the Double Liouville String Perturbed Conformal Field Theory on Fluctuating Sphere

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.368400Z

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Unavailable: canonical work link unavailable.

Observation 8d6f51bf-21d0-4eb1-894f-10cff986d2aa · outbound

This paper cites On the Three-point Function in Minimal Liouville Gravity.

Deforming the Double Liouville String On the Three-point Function in Minimal Liouville Gravity

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.371947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88522a65-e8a6-4445-8c12-1d9043b3fde4 · outbound

This paper cites Analytic Continuation of Liouville Theory.

Deforming the Double Liouville String Analytic Continuation of Liouville Theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.375830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3be827bd-00e8-4c33-a2a0-99b97f1cba97 · outbound

This paper cites On the timelike Liouville three-point function.

Deforming the Double Liouville String On the timelike Liouville three-point function

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.379951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a26c750-c9dd-4014-8f94-647d7a94bd30 · outbound

This paper cites Non-Rational 2D Quantum Gravity: I. World Sheet CFT.

Deforming the Double Liouville String Non-Rational 2D Quantum Gravity: I. World Sheet CFT

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.383919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67474ebf-025e-4e81-9f37-67133b2a792b · outbound

This paper cites Rolling Tachyons from Liouville theory.

Deforming the Double Liouville String Rolling Tachyons from Liouville theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.387583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6437ec6f-10c5-4fcc-a2ff-186e337fa6de · outbound

This paper cites Correlators in Timelike Bulk Liouville Theory.

Deforming the Double Liouville String Correlators in Timelike Bulk Liouville Theory

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:49:02.534156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fdd20c8e-09a1-469c-bd13-9c9ae6ae5e25 · outbound

This paper cites Correlators in AdS_3 string theory.

Deforming the Double Liouville String Correlators in AdS_3 string theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.395057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c8e43a4-8dcd-4017-ad50-2bc4f787390f · outbound

This paper cites The dilaton gravity hologram of double-scaled SYK.

Deforming the Double Liouville String The dilaton gravity hologram of double-scaled SYK

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.398800Z

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Unavailable: canonical work link unavailable.

Observation e6f891d0-3e66-4f53-9bfb-9b63bfe48558 · outbound

This paper cites A symmetry algebra in double-scaled SYK.

Deforming the Double Liouville String A symmetry algebra in double-scaled SYK

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.402990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86272aed-9bba-4926-9fc5-20bec38e9431 · outbound

This paper cites The complex Liouville string : the gravitational path integral,.

Deforming the Double Liouville String The complex Liouville string : the gravitational path integral,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:02.406941Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.