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Paper Citation Record · LEDGER

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

As of 8 August 2026, this Paper Citation Record lists 100 of 100 outbound references and 7 inbound Pith citation observations for arXiv:2505.20800.

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

pith.paper-citation-record.v1
2505.20800 v1

Coverage vector

measured 100 of 100 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T13:55:24.896391Z

measured 107 of 107 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:46:10.155737Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:06:35.666435Z

Reference resolution

100 of 100 outbound references displayed

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  • verified fuzzy0
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Outbound references

Observation 170c6cbf-2cb1-42fd-9e81-4987fb99df09 · outbound

This paper cites Gravitational radiation from colliding black holes,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Gravitational radiation from colliding black holes,

Reference 1

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Observation 808fc152-c64c-4aaf-af5f-023522bc5f85 · outbound

This paper cites Bekenstein-Hawking entropy,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Bekenstein-Hawking entropy,

Reference 2

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source=pdf_text observed=2026-08-07T13:55:16.455400Z digest=sha256:2138e5457aaa5288dec668da5f9e42031c7e7638dd25b876a61678ad1ccaf9a8

Observation b595d2d5-420a-465a-945c-fa91bc080e09 · outbound

This paper cites Black hole explosions,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Black hole explosions,

Reference 3

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source=pdf_text observed=2026-08-07T13:55:16.631208Z digest=sha256:a9306af201e63a1f5706fd3dcdd8e6d1ae2e8157efd46efed3bac0b39e2c3568

Observation b2ff0412-f8fe-4e0b-b31a-46b7364b126e · outbound

This paper cites ˜r+c = 0.215966, ˜qc = 0.167433, ˜Tc = 0.227425 (32) The variation of the Hawking temperature with horizon radius for different values of ˜q is shown in Fig.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent ˜r+c = 0.215966, ˜qc = 0.167433, ˜Tc = 0.227425 (32) The variation of the Hawking temperature with horizon radius for different values of ˜q is shown in Fig

Reference 4

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source=pdf_text observed=2026-08-07T13:55:15.979055Z digest=sha256:0dd9b08e44ee5faddc250a3b468e09a9540a112ee2cab0166349b471ccd7b7bb

Observation 2f910837-e6a0-4232-bd44-f34c5539b448 · outbound

This paper cites In these cases, the temperature profile exhibits two turning points, indicating the presence of three distinct black hole branches.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent In these cases, the temperature profile exhibits two turning points, indicating the presence of three distinct black hole branches

Reference 5

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source=pdf_text observed=2026-08-07T13:55:16.036904Z digest=sha256:110775b8e8d46714347d792112160cf66e3420ba80fdc75ff35658f9e1dfe38d

Observation d8fdea69-ce90-42fe-ab41-9eeb23561af4 · outbound

This paper cites The expression is too large and not quite intuitive so we just present its variation with the Hawking temperature.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent The expression is too large and not quite intuitive so we just present its variation with the Hawking temperature

Reference 6

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source=pdf_text observed=2026-08-07T13:55:16.090345Z digest=sha256:11aef66d881c8fe591ec9a90fcc73f47f519245c32c192eb6a190736ac0ad840

Observation 506a3c99-cd9a-40bc-b1ce-4916d7a5aadf · outbound

This paper cites Charged black holes and phase transitions,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Charged black holes and phase transitions,

Reference 7

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source=pdf_text observed=2026-08-07T13:55:17.092976Z digest=sha256:25a692f164b0f78d292ae5657611e10e09e569ab4411e81a79267b27d1c30475

Observation 19a81753-c518-4732-817b-39729735a5c1 · outbound

This paper cites Particle Creation by Black Holes,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Particle Creation by Black Holes,

Reference 8

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source=pdf_text observed=2026-08-07T13:55:16.744529Z digest=sha256:db18e250829c7626ea97d27b6c470a7698c7184a4a14e7e370a30bdaade6c726

Observation e54068e5-8808-4268-b292-8860f1198021 · outbound

This paper cites The Four laws of black hole mechanics,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent The Four laws of black hole mechanics,

Reference 9

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source=pdf_text observed=2026-08-07T13:55:16.842462Z digest=sha256:a4c7233ac4036a3e98200c0378fa49edce3c6030c0c86152f7405c8c31686ab8

Observation 84587cab-18fb-4a97-9d9d-951b8dc4facb · outbound

This paper cites Thermodynamics of Black Holes,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamics of Black Holes,

Reference 10

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source=pdf_text observed=2026-08-07T13:55:16.971054Z digest=sha256:de8dfb2ef431ba4e7a758e46c323916592fa6be6b6937721ff3f096ccd07e620

Observation c435d7bb-b2a6-4272-8bab-a8bcc97f76ba · outbound

This paper cites P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space

Reference 11

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source=pdf_text observed=2026-08-07T13:55:17.301167Z digest=sha256:c67573e7339aad67812cc42df69ca11695b4c952848a8cebbf3d211af29a9cb3

Observation ac6b487e-0ea1-4e5e-acff-5037f965d638 · outbound

This paper cites The Large N Limit of Superconformal Field Theories and Supergravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent The Large N Limit of Superconformal Field Theories and Supergravity

Reference 12

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source=pdf_text observed=2026-08-07T13:55:17.148605Z digest=sha256:4a7ef52268d37e81090ab2fa20206b6d951760bfd2146223af4b02a710f5faa4

Observation ab6eefae-e019-4065-81fe-850c95751ee9 · outbound

This paper cites Here the dots are the data points that we have calculated numerically and the solid coloured lines represent the fitted curves.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Here the dots are the data points that we have calculated numerically and the solid coloured lines represent the fitted curves

Reference 13

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source=pdf_text observed=2026-08-07T13:55:16.189372Z digest=sha256:7ce12df859fff46594935d04d881533ba60a6766adf3c9ffe4d6deb11f0589d4

Observation 1f758b2a-f5c7-46b1-82f9-1d67bcf59416 · outbound

This paper cites P-V criticality of charged AdS black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent P-V criticality of charged AdS black holes

Reference 14

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source=pdf_text observed=2026-08-07T13:55:17.201534Z digest=sha256:f96e42f98db17ec25aba50411a1662827d8d1ca3955fbd69b32bdd1c45af3d7e

Observation 2bfbb2ee-0e2e-48b7-8c96-046cb337a4db · outbound

This paper cites Thermodynamics of Black Holes in anti-De Sitter Space,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamics of Black Holes in anti-De Sitter Space,

Reference 15

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source=pdf_text observed=2026-08-07T13:55:17.243151Z digest=sha256:078f3e09ad0bdd3fafb595310544591102d847dff03c9097c91132416fd2f8cf

Observation 034cc2b7-2a21-4dfe-a6ce-7d5393d947a6 · outbound

This paper cites Enthalpy and the Mechanics of AdS Black Holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Enthalpy and the Mechanics of AdS Black Holes

Reference 16

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source=pdf_text observed=2026-08-07T13:55:17.404504Z digest=sha256:e7f9afcd1c92cf7dedfe2b8db3775c0ee8fc8bb4fa72248d162e6492197f2a29

Observation 8b780fe6-b9d6-4312-83ea-62b7a2e51eeb · outbound

This paper cites The cosmological constant and the black hole equation of state.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent The cosmological constant and the black hole equation of state

Reference 17

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Observation 7091f7e6-5a5c-4ef5-810b-b493c6bfb937 · outbound

This paper cites Pressure and volume in the first law of black hole thermodynamics.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Pressure and volume in the first law of black hole thermodynamics

Reference 18

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source=pdf_text observed=2026-08-07T13:55:17.482473Z digest=sha256:c5ef749b3ee16aeb9cd6771870c35c4a995d08412cbe53e6d5dd0b703dcff998

Observation 46e064ad-1853-44d6-886d-5281bd4e1511 · outbound

This paper cites Compressibility of rotating black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Compressibility of rotating black holes

Reference 19

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Observation a475d9ea-a6d5-48ac-b072-948ce55494d8 · outbound

This paper cites Black hole chemistry: thermodynamics with Lambda.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Black hole chemistry: thermodynamics with Lambda

Reference 20

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source=pdf_text observed=2026-08-07T13:55:17.585113Z digest=sha256:5ee4d6dbfedf97f0422b9a09aa2c10c2bfc3008bd5d22fd7a340fb709e2e8d69

Observation c7f3d17f-3463-4ee7-8f71-953598321adf · outbound

This paper cites Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality

Reference 21

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Observation 6df98403-04af-4f97-93de-36f8fbaec1b1 · outbound

This paper cites Critical phenomena of static charged AdS black holes in conformal gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Critical phenomena of static charged AdS black holes in conformal gravity

Reference 22

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Observation 608b2918-922e-418c-a95b-93c0f40f4733 · outbound

This paper cites Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity

Reference 23

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Observation ab02bd0e-a6eb-47ce-a68d-a1e3b8e6619d · outbound

This paper cites Thermodynamic curvature: pure fluids to black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamic curvature: pure fluids to black holes

Reference 24

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Observation 39c11483-6fc5-4aad-a0e6-0eea134f45f2 · outbound

This paper cites Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions

Reference 25

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Observation 9fc23d19-17d5-4ad0-9b66-c6a58fe5483c · outbound

This paper cites Microstructure and continuous phase transition of RN-AdS black hole.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Microstructure and continuous phase transition of RN-AdS black hole

Reference 26

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source=pdf_text observed=2026-08-07T13:55:18.077759Z digest=sha256:3b3dd8357afcfacf4bbf5429cc7b609246d165746684040c430dd33055ef745c

Observation 5cdc207b-15d6-4d8b-b213-52087d978fa2 · outbound

This paper cites Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes

Reference 27

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source=pdf_text observed=2026-08-07T13:55:18.185112Z digest=sha256:2fe13b1fb79e92c50830d6b911380ac6622403089a0e6a4278b039713d6de70b

Observation 469f13f8-3bde-4894-902b-23c6f0c6a9f3 · outbound

This paper cites Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity

Reference 28

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local_arxiv, observed 2026-08-07T13:55:29.625380Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:18.305721Z digest=sha256:49ebe1377f538b98aa698bc854f6327abfa2222b144e7e20df2c14a353fa37c2

Observation 6fc2d8f2-19e0-4a76-9555-c891d26e50ac · outbound

This paper cites Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity

Reference 29

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Observation f23e8924-3a15-4be9-a597-e5157fb54768 · outbound

This paper cites Novel relations in massive gravity at Hawking-Page transition.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Novel relations in massive gravity at Hawking-Page transition

Reference 30

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Observation 537baf00-9f59-4eaa-bbd9-cb38c5ee541b · outbound

This paper cites Topological classes of rotating black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topological classes of rotating black holes

Reference 31

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Observation 43df1b40-542f-4895-9440-5baf3fcbda84 · outbound

This paper cites The topological natures of the Gauss-Bonnet black hole in AdS space.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent The topological natures of the Gauss-Bonnet black hole in AdS space

Reference 32

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Observation 69f6c7f4-2eed-425b-96c7-d479326958ad · outbound

This paper cites Topological interpretation for phase transitions of black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topological interpretation for phase transitions of black holes

Reference 33

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Observation 1877f854-5d41-4771-adc8-da1dfb4512af · outbound

This paper cites Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles

Reference 34

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source=pdf_text observed=2026-08-07T13:55:18.964202Z digest=sha256:d3c41e8ed1776af9fabe37418f4440556aff1763b49330ebbbc1daa0fc361a1c

Observation 33b88008-6385-4001-84f6-1418d5510be1 · outbound

This paper cites Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides

Reference 35

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source=pdf_text observed=2026-08-07T13:55:19.013908Z digest=sha256:5f4b5daa475faf13c985a98b6044fbdead962adcd3450d1cf2abc24197657e26

Observation 3b1250a2-d602-49ac-839c-4cd5fd4c52a1 · outbound

This paper cites an unresolved cited work.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Unresolved cited work

Reference 36

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source=pdf_text observed=2026-08-07T13:55:19.095052Z digest=sha256:182b6c12ea5b1ce32aef97c7bc1e9361e86e20700d06194b2d3569d480c12eac

Observation 6bea4ca2-98e7-4ce1-81e6-8e60f880b8fe · outbound

This paper cites an unresolved cited work.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-07T13:55:19.145367Z digest=sha256:1705a9c548c59d06030409809ca2c3c5126f9ec5ef22674ebccfa35b894a636f

Observation d017c0e3-ce7c-4089-abeb-9d7184639548 · outbound

This paper cites an unresolved cited work.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Unresolved cited work

Reference 38

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source=pdf_text observed=2026-08-07T13:55:19.260217Z digest=sha256:e0e5771eff7ccb749f14d5331b002920785e1d2a3188a3e446ef2478de39dac2

Observation f06bc4de-48a6-4dde-972b-9040b90282f0 · outbound

This paper cites Topology of black hole thermodynamics in Lovelock gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topology of black hole thermodynamics in Lovelock gravity

Reference 39

Resolution
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source=pdf_text observed=2026-08-07T13:55:19.415834Z digest=sha256:476a0cb3ba65cc338dd1487e7fdf5fe6b41a92df3222aea3afd338b7516b25ba

Observation 4e19e0de-8a7b-45a9-b8e6-061c0d2d2ac0 · outbound

This paper cites Topology of black hole thermodynamics in Gauss-Bonnet gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topology of black hole thermodynamics in Gauss-Bonnet gravity

Reference 40

Resolution
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source=pdf_text observed=2026-08-07T13:55:19.529876Z digest=sha256:9b4c36a25eeb799eeb0968f412739724737fe5a7eef5e0a1d6fec6efd56f6f17

Observation c9309986-e0e3-4aa3-9c45-80fbee131b82 · outbound

This paper cites Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles

Reference 41

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no resolver link, observed 2026-08-07T13:55:19.675206Z

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source=pdf_text observed=2026-08-07T13:55:19.675206Z digest=sha256:4570e1ca6fd6d2fb0a0228044efe041bb534f46f3f5a7d23b7bbb5017e3b931d

Observation 66a5f55e-17f8-41a3-ad2d-0276b46a8346 · outbound

This paper cites Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

Reference 42

Resolution
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no resolver link, observed 2026-08-07T13:55:19.823759Z

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source=pdf_text observed=2026-08-07T13:55:19.823759Z digest=sha256:022d48f23bf47402ceba7fd057f99fd0f8688807abbb78a01423988da426fa56

Observation 0af5e0d6-5e7c-442d-b3d8-4145950a1b8f · outbound

This paper cites Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity

Reference 43

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no resolver link, observed 2026-08-07T13:55:19.948047Z

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source=pdf_text observed=2026-08-07T13:55:19.948047Z digest=sha256:023af4b4fe57bc0fce283287b70a2c21a3756d8f285929df173509613955c530

Observation bde3fc8a-4a36-486a-8713-86fbc6cd539c · outbound

This paper cites Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity

Reference 44

Resolution
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no resolver link, observed 2026-08-07T13:55:20.054083Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:55:20.054083Z digest=sha256:2477dcaa3ca5fe2071750f75c6a146733ee2676ce9f8d4c2f23fec7543cf2cb5

Observation 4b20616c-3885-420a-80d3-e07e69a03893 · outbound

This paper cites Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections

Reference 45

Resolution
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no resolver link, observed 2026-08-07T13:55:20.131487Z

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source=pdf_text observed=2026-08-07T13:55:20.131487Z digest=sha256:fa35ceea30d1d379e9ae0ec5c664448c2c2bd8962abbaffa45ab558ebfe9f750

Observation bdc9daa1-3f4f-46cd-b615-fc7b4ce98e8e · outbound

This paper cites Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition

Reference 46

Resolution
malformed identifier
no resolver link, observed 2026-08-07T13:55:20.249629Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:55:20.249629Z digest=sha256:6f68798ee1f5d29736d7c0aaf76c04a2de8d871826ed9b222a518223ca352336

Observation 0b4b0148-a40c-41eb-b687-56ff67a24ed2 · outbound

This paper cites Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes

Reference 47

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no resolver link, observed 2026-08-07T13:55:20.350512Z

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source=pdf_text observed=2026-08-07T13:55:20.350512Z digest=sha256:d8d28ece1814ef8f413f67e64ed4822e2bba0dd5b923008372ff08577191c23b

Observation dd3f3f0b-1584-4564-af79-1fc1f4d2b2d1 · outbound

This paper cites Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes

Reference 48

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no resolver link, observed 2026-08-07T13:55:20.428945Z

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source=pdf_text observed=2026-08-07T13:55:20.428945Z digest=sha256:345937c4eff571322ac570753ff4a01f08e55401238e231e4e20965837a907fa

Observation 10a80640-d782-49ac-94c9-c4e6c37eb2ee · outbound

This paper cites Circular orbit of a test particle and phase transition of a black hole.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Circular orbit of a test particle and phase transition of a black hole

Reference 49

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no resolver link, observed 2026-08-07T13:55:20.479357Z

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source=pdf_text observed=2026-08-07T13:55:20.479357Z digest=sha256:fe074a87aa53baef2f01e40ecde26c8ac4def59270452d05e958b7740632241c

Observation abea4c10-fa80-43d5-b014-0c725c71942b · outbound

This paper cites Can shadows reflect phase structures of black holes?.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Can shadows reflect phase structures of black holes?

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:20.608050Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:55:20.608050Z digest=sha256:3b9afd50c1c5f3cd6cb995230d5ecdd18873c781dea5ef52ae1087ec15711d88

Observation fffe8d8b-fefa-4742-8492-021aef947bf6 · outbound

This paper cites Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:29.038390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:20.712834Z digest=sha256:b11f1271239c74fbab5f5349131e63e1862fc74054d7e6a6bdf709dbd34faae5

Observation b60917b0-b9dd-4936-a3c8-2a71dc48ba0e · outbound

This paper cites an unresolved cited work.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Unresolved cited work

Reference 52

Resolution
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no resolver link, observed 2026-08-07T13:55:20.760456Z

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source=pdf_text observed=2026-08-07T13:55:20.760456Z digest=sha256:bb476ef0736bff6797e419ee9080e8b0d103fadbe832763538432abfbf2d7ae4

Observation 223b6929-8442-4f6a-bf94-4fb1c74db81b · outbound

This paper cites Sandri, Numerical calculation of lyapunov exponents, Math.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Sandri, Numerical calculation of lyapunov exponents, Math

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:20.807662Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:55:20.807662Z digest=sha256:6f0ea546c4ca1e68dc1272027941be9f61941763eb8cd4ce147426526c01db6b

Observation 0002a392-8f29-4ae2-8303-cdb977ea2c27 · outbound

This paper cites Phase transition and chaos in charged SYK model.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phase transition and chaos in charged SYK model

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:28.921541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:20.853494Z digest=sha256:5444837f906713d3cc9db885bf8f38acb529ffad4a1dc56e3cd95fae90b1c313

Observation f63433d2-ae99-484d-8e65-f7434bad4cff · outbound

This paper cites Quantum chaos and phase transition in the Yukawa-SYK model.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Quantum chaos and phase transition in the Yukawa-SYK model

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:28.682891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:20.915795Z digest=sha256:979a139020a0ab8174347acddbd271b42b0a901e7139d417256ffe5a0d350bfa

Observation c63c796a-2d9b-4421-bce7-421ad79a9bc0 · outbound

This paper cites Chaos and the Quantum Phase Transition in the Dicke Model.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Chaos and the Quantum Phase Transition in the Dicke Model

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.003871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.003871Z digest=sha256:480a7ff8001d3f3803b3a45718b00b0c70c49767999f10216acdeb6f9d739f6f

Observation c5817e72-01ec-4e57-82ae-985cd44a95f3 · outbound

This paper cites Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:28.501178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.059332Z digest=sha256:9004801fb43804a880159edcced91fc7f368595cda038aebcb997c874a34b78f

Observation 69bd6fc3-33b0-4081-9c9f-3168d3ef4d60 · outbound

This paper cites Transitional regions of finite Fermi systems and quantum chaos,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Transitional regions of finite Fermi systems and quantum chaos,

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.118055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.118055Z digest=sha256:fff2dc77a3b99262002eba45bc199c23864dc2ecf82e080bed4cc12f48eff61d

Observation fe068d5f-fdb8-4169-a54f-c1fb75de9706 · outbound

This paper cites Chaos in Static Axisymmetric Spacetimes I : Vacuum Case.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Chaos in Static Axisymmetric Spacetimes I : Vacuum Case

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.172088Z

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source=pdf_text observed=2026-08-07T13:55:21.172088Z digest=sha256:9ee399d8d1f2e62c332e808cd95ef35697d18ed38959f81b534c1a783c742bd3

Observation 6c5bf26c-dbbc-4c58-a9f7-42e50fa4a0c0 · outbound

This paper cites Chaos in static axisymmetric space-times. 2. Nonvacuum case,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Chaos in static axisymmetric space-times. 2. Nonvacuum case,

Reference 60

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:55:28.318587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.222520Z digest=sha256:2c331b4c318f0074bd8d13ba756175235fd0e5515718ce478b2dbd3e44b4e8ee

Observation db6a2a89-b1f1-4fc0-aab8-52bce6484652 · outbound

This paper cites Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.273121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.273121Z digest=sha256:ee6f91cf6811ff2db916f8328ba06541a071f91a57c7a6791ab5844bcca0b686

Observation ba9532db-8a89-496c-abb2-10690ac87b15 · outbound

This paper cites Chaotic motion in multi-black hole spacetimes and holographic screens.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Chaotic motion in multi-black hole spacetimes and holographic screens

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:28.082695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.357032Z digest=sha256:10414d619a2b2d1be67ffdb3d3efb84d97cec52126d99ad88a442e7114487e5d

Observation eb164a08-8c99-4091-865c-3e5c0ef578c7 · outbound

This paper cites Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.976546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.423373Z digest=sha256:8507846d1c3882a5257599c72fc2b42494d6d2544a1c71a09dac1b0e3726a36c

Observation 727f1057-f60c-45f0-877a-d47d911c14c1 · outbound

This paper cites Chaotic Motion around a Black Hole under Minimal Length Effects.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Chaotic Motion around a Black Hole under Minimal Length Effects

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.857068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.494473Z digest=sha256:4a1388d7b5a088dd8c225d6b9523a3c310723c41e4c547f5731d260dfc565213

Observation d28f105d-0b48-468f-8fe6-3923f61a11de · outbound

This paper cites A bound on chaos.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent A bound on chaos

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.551296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.551296Z digest=sha256:9a1ab4344499348f85df852629b2427737b8fa67f8b24d6ff5c14b5ab9bd691c

Observation 04c7c833-537f-45b9-a7fa-a5cc6fc0e5c2 · outbound

This paper cites Universality in Chaos of Particle Motion near Black Hole Horizon.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Universality in Chaos of Particle Motion near Black Hole Horizon

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.666158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.666158Z digest=sha256:294c29461c954a66775549307d94ab488710a2538a7278572c3099cd3c70c803

Observation 53b3434f-96b3-4e0d-b4f3-e9f590153d8c · outbound

This paper cites Presence of horizon makes particle motion chaotic.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Presence of horizon makes particle motion chaotic

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.795396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.795396Z digest=sha256:e3d3a25642f099d5c96aa2a3d0d561154c07ced40c2777312f244876619540cd

Observation c4a5f576-b37b-4347-a403-225b9c55405a · outbound

This paper cites Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:21.881061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:21.881061Z digest=sha256:ffeb7b782cb40756a74698820dddf4b69517648019e6e8305e93a048ece8762e

Observation 37c60873-d1d2-4785-97c7-59410f6dfc94 · outbound

This paper cites Minimal Length Effects on Motion of a Particle in Rindler Space.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Minimal Length Effects on Motion of a Particle in Rindler Space

Reference 70

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.715496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:22.045334Z digest=sha256:670477ccf7e5c242055eb6b4abee08b880e2283def5be0fabf7b97bec693b6f6

Observation d7cfeaf1-01e5-48a7-85fa-c1c4d5881485 · outbound

This paper cites Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:22.187019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:22.187019Z digest=sha256:85ac4a221ac5bd3560fafe420b18a65b700933a8b9b75aa80ab59070cf9c74c6

Observation 2ea0bc27-b7f2-48a8-9174-fe24cabef447 · outbound

This paper cites Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle

Reference 72

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.595005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:22.322423Z digest=sha256:440e2acb72da79da0c7f131c3b80ede208323123be159d1f48137543d82fbcca

Observation b8ab1895-7ec2-4e4c-b470-dea778815021 · outbound

This paper cites Probing Phase Structure of Black Holes with Lyapunov Exponents.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Probing Phase Structure of Black Holes with Lyapunov Exponents

Reference 73

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source=pdf_text observed=2026-08-07T13:55:22.446914Z digest=sha256:c6c29e00df6d8e7f0afa955115f179b3b46f809f3d00ad4ce850eb4acae5e305

Observation 089082ac-94c6-4cc3-847d-7b7a3b4eeb57 · outbound

This paper cites Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes

Reference 74

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no resolver link, observed 2026-08-07T13:55:22.569330Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:22.569330Z digest=sha256:30eca3140de2be2c89e0c24e31803d19006b53d63cc691a4dfd72882f0ebd92a

Observation ef6ea629-5fda-4dda-b2b3-547e1b74d0ca · outbound

This paper cites Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent

Reference 75

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no resolver link, observed 2026-08-07T13:55:22.652866Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:22.652866Z digest=sha256:efb6899af949135a13b6ca48a6b40028d77c815d51beca21d324f65be4173da9

Observation 5051ec4e-06bd-400f-87fc-820fb6c3c100 · outbound

This paper cites Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes.

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

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

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Unavailable: canonical work link unavailable.

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

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

This paper cites Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent.

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

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

Observation d6c39e04-0089-43ba-8583-46f4c2f251a0 · outbound

This paper cites Lyapunov Exponents and Phase Transition of Hayward AdS Black Hole.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Lyapunov Exponents and Phase Transition of Hayward AdS Black Hole

Reference 78

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no resolver link, observed 2026-08-07T13:55:23.023929Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.023929Z digest=sha256:ff848bfc1272c946bda382036d3b107dad89582b2c750c271af3a022e1f53edd

Observation 31e6073b-3173-48af-af8d-02bec9cb0f44 · outbound

This paper cites Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes

Reference 79

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unresolved
no resolver link, observed 2026-08-07T13:55:23.164511Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.164511Z digest=sha256:f524c88d78cd2c47c9c76724d9787e36aa4a3fdd0561d5a07a9abf1aa5a256ae

Observation 395b33e0-9c2f-4813-9204-636fd7862a04 · outbound

This paper cites Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole,

Reference 80

Resolution
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raw_fallback, observed 2026-08-07T13:55:27.404722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:23.301627Z digest=sha256:29f552edffce7c5f398a3587394dd75816894ad243548955c3e5654fc197201d

Observation dadef7f2-602c-4317-b537-708c12009281 · outbound

This paper cites Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes,

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:23.396434Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.396434Z digest=sha256:63f9587beb839a636bd9342cf4bfcc5eadee4e199fa78250748663f639b7d7f4

Observation bffd92f0-895c-4513-a3f9-bdcbfd7e133f · outbound

This paper cites On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes

Reference 82

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.160492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:23.470297Z digest=sha256:89423706d7bf5657d5796afa79d719c1bcbd65c0b5296b44f968227dfe346e80

Observation eca6d84c-5506-400f-bf6e-dc2dc09d7a69 · outbound

This paper cites Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings

Reference 83

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:27.088064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:23.544857Z digest=sha256:93c405177cc5a84aba6ec632f0aba32d54059f8a2c186082c9bf3536ccc7253c

Observation 189710ba-109e-44bd-aaee-a87fc6964efa · outbound

This paper cites Notes on R-charged black holes near criticality and gauge theory.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Notes on R-charged black holes near criticality and gauge theory

Reference 84

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:26.988202Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:23.647075Z digest=sha256:5995a8d59d1b5998418fe4936e592d564a643ef664a8d137b9bac0dbe048fde2

Observation 743cc7a6-a48a-4d89-9c9f-5944215fa15b · outbound

This paper cites Thermodynamic geometry of black holes enclosed by a cavity in extended phase space,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Thermodynamic geometry of black holes enclosed by a cavity in extended phase space,

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:23.756466Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.756466Z digest=sha256:92b21b97305b1ce7691a01451326bb1a20da30ab7fd6a5fc61113fb7faf66cd2

Observation 978fa7a8-b52a-4933-bd48-afe86d2ef343 · outbound

This paper cites Topology of thermodynamics in R-charged black holes,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Topology of thermodynamics in R-charged black holes,

Reference 86

Resolution
verified exact
doi, observed 2026-08-07T13:55:25.064429Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:23.877878Z digest=sha256:1dcc640defaf406e171c9e649c30b6c0f761ca6af4a7d539f6448dc21854138b

Observation 7ed253ab-0c86-4974-b702-58c7471c7577 · outbound

This paper cites Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:23.960183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.960183Z digest=sha256:5628223e1d933c9af3ad0bfdcd77c97a381aaeac156451d111a502cd07cfb81d

Observation 80644aeb-25e1-4e73-a9ab-f1582f2a6e5a · outbound

This paper cites R-Charged Black Holes and Holographic Optics.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent R-Charged Black Holes and Holographic Optics

Reference 88

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:26.784426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.021881Z digest=sha256:b273d8abb54bf831f68cdb93db9806ba3b33d9c4661b24fc5e412ff1d3e2e12f

Observation 6f87364d-8649-4e54-9d23-957c49537e8d · outbound

This paper cites Generalized Superconductors and Holographic Optics.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Generalized Superconductors and Holographic Optics

Reference 89

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:26.624404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.105547Z digest=sha256:3cbb0ed97eed2af5bd117cb01e88b61876a3ffc02d998e52d5d1afcfdea80669

Observation 979adfb5-9661-4791-b7d3-0bc8006dc8eb · outbound

This paper cites Generalized Superconductors and Holographic Optics - II.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Generalized Superconductors and Holographic Optics - II

Reference 90

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:26.474664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.178352Z digest=sha256:6fa548e8888f4277d13c719d8095b8d84c3e8c906eea9dc58906fcdaa683e059

Observation 7a7e2759-27d5-4218-b9da-d54a41fdbf11 · outbound

This paper cites Hydrodynamics of R-charged black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Hydrodynamics of R-charged black holes

Reference 91

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:26.293492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.215501Z digest=sha256:56ba152c61d13d93b7691b82ce06d4aba7f2acf9fda68900ebb495056aeec91c

Observation fc3d3f61-94c2-422b-8bdb-72c32162cf08 · outbound

This paper cites Shear viscosity from R-charged AdS black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Shear viscosity from R-charged AdS black holes

Reference 92

Resolution
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local_arxiv, observed 2026-08-07T13:55:26.156950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.265582Z digest=sha256:5aaaf4132586865310377060c066fc002fe03983d285a87d1addcfed609a0359

Observation 42992454-29d3-4f7e-9443-5d1ac314a44f · outbound

This paper cites Anti-de Sitter Black Holes in Gauged N=8 Supergravity.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Anti-de Sitter Black Holes in Gauged N=8 Supergravity

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:24.305787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:24.305787Z digest=sha256:288af733f354cb7b59b7d63f259a97fd065c7004851888153ab67bea2f9a87de

Observation 956b57ba-9928-40b0-b2bb-c87b8029a80b · outbound

This paper cites Zeroth-Order Phase Transitions.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Zeroth-Order Phase Transitions

Reference 94

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:55:26.015154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.371714Z digest=sha256:e08ac0e0396bf904e327a401bf80b11df7eb4b0aabe742338188484021ab2225

Observation fec0efa0-537f-4e48-892a-c51f09988b84 · outbound

This paper cites Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:24.449959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:24.449959Z digest=sha256:8f102e899b19e5664f8b9ef479326d46a9ae1b081a9be4efb84e6f552a39aa28

Observation a44f2cf9-5df1-48e6-b328-ed861af1c153 · outbound

This paper cites Reentrant Phase Transitions in Rotating AdS Black Holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Reentrant Phase Transitions in Rotating AdS Black Holes

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:24.515331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:24.515331Z digest=sha256:1a0bd4e1021bafa647dea1a5521807c04a6c7d7c26dd6a88da0ed76c03260fa2

Observation 7d969da9-2d8f-4938-af67-8b14133a2aa0 · outbound

This paper cites Reentrant phase transitions and van der Waals behaviour for hairy black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Reentrant phase transitions and van der Waals behaviour for hairy black holes

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-07T13:55:24.591827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:24.591827Z digest=sha256:29d80693d2798dac1058cfdceae40aef3ff733da0a77f6cde70f23edf806b41a

Observation 629f7e9d-7e57-45e8-887c-d3816d316915 · outbound

This paper cites Novel phase transition in charged dilaton black holes.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Novel phase transition in charged dilaton black holes

Reference 98

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:25.799022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.666899Z digest=sha256:32774df5cef734f02a04b8197550a29f8d125162e6c088b655df72c49ab78969

Observation bbebcf73-55e7-492b-9c04-5afc5a5fe060 · outbound

This paper cites Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics

Reference 99

Resolution
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local_arxiv, observed 2026-08-07T13:55:25.636347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.764980Z digest=sha256:3913f5253792a7a62ec9656a16cad36a51a25d6ed48d1ce5d6c8b49f79d5a262

Observation cf63f4b0-c191-4601-8532-743e434589a3 · outbound

This paper cites Microscopic explanation for black hole phase transitions via Ruppeiner geom- etry: Two competing factors–the temperature and repulsive interaction among BH molecules,.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Microscopic explanation for black hole phase transitions via Ruppeiner geom- etry: Two competing factors–the temperature and repulsive interaction among BH molecules,

Reference 100

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T13:55:25.522599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.839396Z digest=sha256:cb3106806b9d7bbacadfc5907999670574389ef88a064e783087c7d19646d7f7

Observation 8dee0c47-1faf-41e5-9a6c-a6e215b19cc0 · outbound

This paper cites Critical behavior of Born Infeld AdS black holes in higher dimensions.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Critical behavior of Born Infeld AdS black holes in higher dimensions

Reference 101

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:25.275907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:24.896391Z digest=sha256:bea749365e3a7800c03adf32d3bd89ccb42a5d12fc07d3aefc92f142afef95ce

Pith citing papers

Observation 02d132cd-9a16-4f9d-a80e-3bf1566dcbeb · 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 Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:10.155737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:10.155737Z digest=sha256:3e190da63dec562f6582512dbb069f3dc261d0a7b6757fc174a1d17920008327

Observation eea4b781-cacf-486a-8181-02d52face3f5 · inbound

Probing the Chaos to Integrability Transition in Double-Scaled SYK cites this paper.

Probing the Chaos to Integrability Transition in Double-Scaled SYK Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-05-16T14:17:59.302149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T14:15:15.772460Z digest=sha256:90d1c8d74efbbe24c20416476af1ff3f095adbf49fbd5b4d90e5cdfe458d0d23

Observation 3a33b3b8-657f-41d7-9201-b8f69c1f4144 · inbound

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

Unifying topological, geometric, and complex classifications of black hole thermodynamics Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:56:01.025893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T16:53:14.107271Z digest=sha256:c40b2e6542c2dd5157ea416bd2529113aadc64120e05dc4fda4e861f964a124d

Observation 2f44eb2f-6c71-4996-b2eb-396cc519f4b5 · inbound

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

Unifying topological, geometric, and complex classifications of black hole thermodynamics Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 21

Resolution
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no resolver link, observed 2026-08-03T02:31:09.526256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:31:09.526256Z digest=sha256:ef526e3924135050e2edf336d88b9f14e153e4ab4391516db326bd7ad2ad3699

Observation fa4361ce-a954-4c64-9581-f1e8bb412143 · inbound

Phase Transitions and Chaos Bound in Horava Lifshitz Black Holes using Lyapunov Exponents cites this paper.

Phase Transitions and Chaos Bound in Horava Lifshitz Black Holes using Lyapunov Exponents Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 79

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:01:16.509025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-07T15:54:31.735078Z digest=sha256:190e4eae9a54a835a75482030fa2a29fdf515af907068641a97cfe7b2bd6dea0

Observation 9059715e-8fa5-41ce-b422-8e97bcd3bc6c · inbound

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Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-20T18:18:52.498966Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-20T18:15:48.825883Z digest=sha256:823642deb998d2bbe951ec55ad5c6d97c46ad1271828598441286fb4c0ec8395

Observation 52749835-4445-4eba-90fb-ad017e972fec · inbound

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

Off-shell Hessian thermodynamic stability of higher-curvature black holes Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Reference 89

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arxiv_id, observed 2026-07-02T04:06:35.668325Z

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source=pdf_text observed=2026-06-28T09:22:48.622328Z digest=sha256:cb8d77884c0faa9f340f0abbf118c492afa6deed7c3a136e0dfd452375eb1754