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Paper Citation Record · LEDGER

Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2403.20083.

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

pith.paper-citation-record.v1
2403.20083 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 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 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:46:33.806430Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:06:35.677966Z

Reference resolution

0 of 0 outbound references displayed

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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 ec47782d-525f-4c7b-be29-5df8291850c1 · inbound

Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation cites this paper.

Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T14:46:33.806430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:46:33.806430Z digest=sha256:60d63c27f2d9564376bcad949b5e7325b0a7248e4aa25a05e2eeca71153d8bfe

Observation 7293638c-8f25-4ca1-8f38-abbe0c3ee5a1 · inbound

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent cites this paper.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 77

Resolution
malformed identifier
no resolver link, observed 2026-08-07T13:55:22.883595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:22.883595Z digest=sha256:4280c17601b9c4b647cb12a13d72393fb2d6c002099acc45110245e12c79bc09

Observation ee295214-3b11-42d8-a373-81509d954d1e · inbound

Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions cites this paper.

Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:09.761063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:09.761063Z digest=sha256:6e309e71e763ccd5e71104293e4fb7550beacbf1c662f8a4ef6fbaca61847ac7

Observation 854adfd1-9254-404d-9674-da8710944fbd · inbound

Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions cites this paper.

Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T09:50:02.592294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:50:02.592294Z digest=sha256:4af50846e667915ad6e1d478f40acbb5574abc340c142fee4238d0a7ec46ca6f

Observation 219ea540-b940-44f7-ad10-0e2fe6847d18 · inbound

Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS cites this paper.

Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-04T09:26:10.144902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:26:10.144902Z digest=sha256:0194cac71cb2ecdeb42053469cd44515f246f708335a854f1efb510103d7e0b1

Observation 3f4a7865-ede2-4c66-af9f-5eedf2aa387c · inbound

Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent cites this paper.

Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-04T07:58:04.153257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:58:04.153257Z digest=sha256:d6d9021e773ec77215455b221f92bc9262c2dd79eb31ac5f689047b145353945

Observation 99cce7df-a985-4b4e-bb86-8761450e6c91 · inbound

Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties cites this paper.

Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-03T16:11:31.986378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:11:31.986378Z digest=sha256:51631943da8af6a310e91295c78b30df8c1a1454f432e00f11993d49e9448ba7

Observation 6fbc5305-aa0e-4377-a955-4e402139c083 · inbound

Unifying topological, geometric, and complex classifications of black hole thermodynamics cites this paper.

Unifying topological, geometric, and complex classifications of black hole thermodynamics Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:56:01.029727Z

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=2026-05-10T16:53:14.107271Z digest=sha256:d2b3616fee48c28898694f77272cc657b275824446703326b88714766da31475

Observation 11a4bfa7-4b2b-4490-a79d-828354788b95 · inbound

Unifying topological, geometric, and complex classifications of black hole thermodynamics cites this paper.

Unifying topological, geometric, and complex classifications of black hole thermodynamics Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T02:31:09.125653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:31:09.125653Z digest=sha256:713019d617bea3520aee5bdc7bab4a13c2ffc48580c52ba766bb0e49cfe14d2d

Observation 8cbcacb2-538a-4916-aa6d-d2213e146c3c · inbound

Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field cites this paper.

Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-20T09:23:10.808788Z

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=2026-05-20T09:18:17.246863Z digest=sha256:ed113eed879b99d162090eb6f4ee4c929d09eda3a1e8849c923339d541e220a8

Observation 9f219384-b842-4956-bc7a-52181e6f4e9e · inbound

Off-shell Hessian thermodynamic stability of higher-curvature black holes cites this paper.

Off-shell Hessian thermodynamic stability of higher-curvature black holes Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Reference 84

Resolution
verified exact
arxiv_id, observed 2026-07-02T04:06:35.679435Z

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=2026-06-28T09:22:48.622328Z digest=sha256:0e331f1ed7f53abff67bc6014e7a484913ebe2db7224c2c3ddcd67f40cf8219d