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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 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 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 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:46:09.761063Z

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 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=sha256:0b478caa385160a99db0ee002d9c59105ffe4893d129cb08a5b4bc088f64bb9d

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:e0ffedfb87a87a88b09030c8fee6201761fc3e00b7c23c1a99604a528398e31f

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=sha256:46c9890490b7fdddcf710295e97ca14c196302ea4954b942af092801455b29fe

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=sha256:748251fdfc9b33db1fd9953670bc5d1c3431f3eeedf1661f838be5976862ff59

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:e779fb7bc7d1403d389ec46d105184d2e644ea7d3ed4a63ea7f0558c43462a45

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 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T16:53:14.107271Z digest=sha256:ad0c40a6f6e54aa019a73f2f608bd2aa0538c94dae66676b94aaa39af52e1ff9

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=sha256:9a3c6128dbcd88e53b460e73e7c90ed4dc895914f748d49aeae3c7e298b52059

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 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-20T09:18:17.246863Z digest=sha256:cf18103d4b10bb518f3b5d3144b2dc3f1a08d7264488ce69d88ae748cc4b2e30

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 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-28T09:22:48.622328Z digest=sha256:fced74468bc3d300fd15e42b6542b7fc53a72372175b92e88e1730bf64071260