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Paper Citation Record · LEDGER

Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2401.05181.

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

pith.paper-citation-record.v1
2401.05181 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:55:22.748762Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:06:35.676872Z

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 5051ec4e-06bd-400f-87fc-820fb6c3c100 · 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 Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:22.748762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:22.748762Z digest=sha256:175d5dcfcb0806d59b28ef292f67609065b80f939b05fa37ee346d1b2c8710be

Observation 258512d2-0594-4ece-ab41-8758028254a3 · 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 Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-04T09:50:02.522304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:50:02.522304Z digest=sha256:47087fd336148fc22ceebb22cd093d5406b328181d42837053997db3f55057e2

Observation 6ad00b6a-6ffa-4ed8-8b60-9d02e4076c17 · 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 Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-04T07:58:04.073054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:58:04.073054Z digest=sha256:4f2113cd59542938c2f03eb32f12a1c92761330bc4f986ec3185d585bc3b2fbd

Observation 9aefe0c1-9754-4388-84b6-cd79d345207d · inbound

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

Unifying topological, geometric, and complex classifications of black hole thermodynamics Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:56:01.155567Z

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:b68fad7504ca4f2796d56965b0d68acdf1a758b641cc3f980f104b1beff9fc44

Observation 08893429-fa05-41d9-a9ec-39023155e465 · inbound

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

Unifying topological, geometric, and complex classifications of black hole thermodynamics Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T02:31:09.041159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:31:09.041159Z digest=sha256:1574e47ddae78ccdf96a9e0597b2a79f59690f30a707d4fc2e44992b0fafb386

Observation 213f2004-2c7e-4d7b-8d22-4f1c2baf7958 · inbound

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

Off-shell Hessian thermodynamic stability of higher-curvature black holes Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-07-02T04:06:35.678112Z

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=sha256:43ec851e7cb409f5c79f20b0caa3dc75cf298b949f1a1e98ae448eb0cda7f204