Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:35:28.733043Z
Paper Citation Record · LEDGER
Mixed Solutions to the Liouville Equation
As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.02196.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact10
- verified fuzzy6
- unresolved9
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b3924ffc-ce6f-4271-8b36-48917ce31d5f · outbound
This paper cites Sur l’´ equation aux diff´ erences partielles 2log d2λ dudv ± λ 2a2 = 0,.
Mixed Solutions to the Liouville Equation Sur l’´ equation aux diff´ erences partielles 2log d2λ dudv ± λ 2a2 = 0,
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.966429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 92367bef-454a-48e9-9c6a-97eeb615cf50 · outbound
This paper cites Exact Quantum Three Point Function of Liouville Highest Weight States,.
Mixed Solutions to the Liouville Equation Exact Quantum Three Point Function of Liouville Highest Weight States,
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-07T11:35:29.487706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 954d8d19-3227-483f-bd11-cb9ef5d560a3 · outbound
This paper cites Notes on quantum Liouville theory and quantum gravity,.
Mixed Solutions to the Liouville Equation Notes on quantum Liouville theory and quantum gravity,
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-07T11:35:29.275791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1cd60e9b-056b-48d8-bce7-89949775f178 · outbound
This paper cites Structure Constants and Conformal Bootstrap in Liouville Field Theory.
Mixed Solutions to the Liouville Equation Structure Constants and Conformal Bootstrap in Liouville Field Theory
Reference 4
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-07T11:35:26.428192Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d4eb56b-badb-4476-9fd2-de2df30efe4a · outbound
This paper cites Classical Liouville action on the sphere with three hyperbolic singularities.
Mixed Solutions to the Liouville Equation Classical Liouville action on the sphere with three hyperbolic singularities
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:35:30.794857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 300b4105-a410-486b-a743-698cdb940003 · outbound
This paper cites Polyakov conjecture for hyperbolic singularities.
Mixed Solutions to the Liouville Equation Polyakov conjecture for hyperbolic singularities
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:26.652133Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c668885-fca6-4761-b723-3ef5beded4ae · outbound
This paper cites Hyperbolic three-string vertex.
Mixed Solutions to the Liouville Equation Hyperbolic three-string vertex
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:26.726307Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fed185f6-53ea-4d01-87a9-8e9b846370f0 · outbound
This paper cites Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity.
Mixed Solutions to the Liouville Equation Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:35:30.638395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0777e280-e33e-4ec1-b43a-93b4dd482bd2 · outbound
This paper cites Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions.
Mixed Solutions to the Liouville Equation Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:35:30.460043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ddca70b5-b650-45ee-acf1-c79f86c6366e · outbound
This paper cites Hyperbolic String Vertices.
Mixed Solutions to the Liouville Equation Hyperbolic String Vertices
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:26.990688Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c27e37f8-cd53-4b50-b2dc-37a585a10a2b · outbound
This paper cites Sullo svolgimento del quoziente di due serie ipergeometriche in frazione continua infinita,.
Mixed Solutions to the Liouville Equation Sullo svolgimento del quoziente di due serie ipergeometriche in frazione continua infinita,
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.829040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7044eea2-408e-4751-aa0e-69f54c6f91a0 · outbound
This paper cites Asymptotic Expansions of Hypergeometric Functions,.
Mixed Solutions to the Liouville Equation Asymptotic Expansions of Hypergeometric Functions,
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.655840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3fe4caf9-7e86-43aa-9c36-cf73ae4c51db · outbound
This paper cites An extension of the method of steepest descents,.
Mixed Solutions to the Liouville Equation An extension of the method of steepest descents,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.447144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 185d1a0b-fd54-4a7e-a213-c6af3ae52ced · outbound
This paper cites Asymptotics of the hypergeometric function,.
Mixed Solutions to the Liouville Equation Asymptotics of the hypergeometric function,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.297914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 67130079-c547-43c9-a6ea-a7718c73e83b · outbound
This paper cites Exponentially accurate uniform asymptotic approximations for integrals and Bleistein’s method revisited,.
Mixed Solutions to the Liouville Equation Exponentially accurate uniform asymptotic approximations for integrals and Bleistein’s method revisited,
Reference 15
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T11:35:30.311311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b2acf8f5-0958-4c2f-9ea6-a7143d8835e3 · outbound
This paper cites Asymptotics of the Gauss hypergeometric function with large parameters, II,.
Mixed Solutions to the Liouville Equation Asymptotics of the Gauss hypergeometric function with large parameters, II,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:35:31.122202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b075b456-c090-4045-b661-ed7115ccc7d9 · outbound
This paper cites an unresolved cited work.
Mixed Solutions to the Liouville Equation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:35:30.949179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2da871a4-f96e-471b-8596-6d27429efeef · outbound
This paper cites Three-Dimensional Einstein Gravity: Dynamics of Flat Space,.
Mixed Solutions to the Liouville Equation Three-Dimensional Einstein Gravity: Dynamics of Flat Space,
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:27.802352Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ea45987-9ecd-4037-8add-c5b21f7b8d46 · outbound
This paper cites Three-Dimensional Cosmological Gravity: Dynamics of Con- stant Curvature,.
Mixed Solutions to the Liouville Equation Three-Dimensional Cosmological Gravity: Dynamics of Con- stant Curvature,
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:27.913440Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fae31fb-548a-45bf-b72d-85610b25e052 · outbound
This paper cites Exact quasistatic particle scattering in (2+1) gravity,.
Mixed Solutions to the Liouville Equation Exact quasistatic particle scattering in (2+1) gravity,
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-07T11:35:29.081031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fe9aa7b1-9586-483e-ad51-bea1a57ff967 · outbound
This paper cites (2+1)-Gravity with Moving Particles in an Instantaneous Gauge.
Mixed Solutions to the Liouville Equation (2+1)-Gravity with Moving Particles in an Instantaneous Gauge
Reference 21
- Resolution
- malformed identifier
- local_arxiv, observed 2026-08-07T11:35:30.099413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 074bb46e-70ae-4b94-b259-3dad24a2bb23 · outbound
This paper cites Non-Perturbative Particle Dynamics.
Mixed Solutions to the Liouville Equation Non-Perturbative Particle Dynamics
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:35:29.925711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation eda047b0-4be5-49af-887c-6ce7941b0d1c · outbound
This paper cites Perturbative analysis of the two-body problem in (2+1) - AdS gravity,.
Mixed Solutions to the Liouville Equation Perturbative analysis of the two-body problem in (2+1) - AdS gravity,
Reference 23
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T11:35:29.718806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 209016e6-0e75-432d-a95b-baa977473ceb · outbound
This paper cites Nonperturbative Two Particle Scattering Amplitudes in (2+1)-Dimensional Quantum Gravity,.
Mixed Solutions to the Liouville Equation Nonperturbative Two Particle Scattering Amplitudes in (2+1)-Dimensional Quantum Gravity,
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-07T11:35:28.891677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8633b5ee-d8bb-4f14-8d68-ada929d3f3f9 · outbound
This paper cites Multi-Black-Hole Geometries in (2+1)-Dimensional Gravity.
Mixed Solutions to the Liouville Equation Multi-Black-Hole Geometries in (2+1)-Dimensional Gravity
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:28.511081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2de4780-b044-469d-9cb4-f9f43349e004 · outbound
This paper cites Geometry of the 2+1 Black Hole.
Mixed Solutions to the Liouville Equation Geometry of the 2+1 Black Hole
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:28.638344Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f61b2817-7082-4330-a203-f5e6cd24ba50 · outbound
This paper cites Black Hole Creation in 2+1 Dimensions.
Mixed Solutions to the Liouville Equation Black Hole Creation in 2+1 Dimensions
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:35:28.733043Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.