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Paper Citation Record · LEDGER

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

As of 18 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

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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 2026-08-17T06:30:58.91139+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

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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=sha256:8d5edad96e2891e68eac52880ae6f6698a0dfec1b1c9bee27fd5418f3b7e717c

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:a03a50f2291f7207e008b5310ecb6de2c2517492df64061d8d76c76061c87558

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:ba426129ad8d97804cad83f0333d79c946eb4750f3103de296fb42a607513c11

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=sha256:98793161e05293fd65ffc0dc49e0c3b3361eb866245a0565baf046176aca6cfa

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=sha256:19fb07b6e0a5d97a39fa476b21f17ed192f3033619f9cd2ff57a6ea95a36dc59

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=sha256:43c9d749fbb5a65ebb6b704babedad54f9595a7164aa1103280197c1716781d9

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=sha256:2847ef8d8e930102cab441949bb28afd69544d47a6576bac92eff93f4fbe06a5

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:f5b1ad7ab7527a74170b1d8bf641d11fcfd317fdef116bf9980e200c9a28b047

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:a59627165191484c706b043e3370300db6e09cc9e16dbda3f80bbf378a3f34c9

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=sha256:06c728c457e77b45cdd863b9a60fae03138631da71bc68e7894b16de5432a0da

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:d418f21ab7dcffa403763dc8bdcd3041c48eddf5e0b8606385055a055f79c79d

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:c72b369d12c4a37fbdaaf056f983768a342e11805422c29e5d13a4fdbecda898

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=sha256:312bb42a70dcbb46a29bb27f2a3ab791eaab4f2437b78a674b4c302316a15f31

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=sha256:08c7aaafc596848f894b3aeec68c9461268aacc2628dd1d3b1b4ed1ff97ab9fc

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:e1a984478ac1ad07f2a1a40e86b107d8e9427cd0556f92d3e93a0c33db6beb9f

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:a4802596f82b13b71b372a582b3d0c3779d717d3cb1bf5a24dd1791dc2aa2f98

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:d4d1eb1a321422ba483a2bd9b7cdd00d40d9dc74913746b43df6d2b5a1f34d13

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=sha256:62cfb45e1405713e6ab7db4e1ba1696af23f0eab411828f7962ac276b333f483

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=sha256:9767f25e5e28ce31046e589930a8d14941dee09e3989af307ffb33dab229e023

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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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:18.305721Z digest=sha256:ffe05ed312cb42be46369bc967f0db9ab5dcbd9df337aba4792922a5e5e600d7

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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source=pdf_text observed=2026-08-07T13:55:18.415139Z digest=sha256:b0ab0b2d107939eeaa3c260de9126402f7681202579fe0e51e8fbcf60ce33496

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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source=pdf_text observed=2026-08-07T13:55:18.601498Z digest=sha256:17036cf754a0472a2437564ef9402844cf55caf3f9bf8984be905025e6a61658

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=sha256:9e1f8d8f22b01f348ba11b63db24dc4dfb5ecd36d7e939d37d52c60e7b889feb

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=sha256:317cf74ae704b8011bed6bcf70b0a889afbba835229b6c686f6e276a7043a470

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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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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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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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:19.260217Z digest=sha256:ca6332929097a4d4c6cb1502fc66199b4762fa3669053f8dcd4bb4c135e318cb

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

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source=pdf_text observed=2026-08-07T13:55:19.415834Z digest=sha256:30df5fe76f31a231bfd733dd8449a1b721bfdf0d16772721767837f37bd0727e

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

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no resolver link, observed 2026-08-07T13:55:19.529876Z

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source=pdf_text observed=2026-08-07T13:55:19.529876Z digest=sha256:359c7949379bcaa1114043f6e2f0e303b4dc7a9a32ff65f6d185fac8eeac2dd0

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

Resolution
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source=pdf_text observed=2026-08-07T13:55:19.675206Z digest=sha256:449bfbee911085e80d8edd85eb71c0802b7fcc8232fe7d40372baecbfcbe6d81

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

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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=sha256:7e4959f571244992096419eb109a1368f98fb1bb21cde4ad93f7ea248b31b742

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:b61312c6b4af8420f54549c9d3232fe3eaf0e9c4ca3e4195a4df5a4b2c9b73c0

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

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source=pdf_text observed=2026-08-07T13:55:20.054083Z digest=sha256:909d4b35561c3aeb3fefec2dc7d5fdc4d57fa6f2512045e087089e3a5a45a941

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=sha256:6e24c51ebeb63c7de492777b616eaf6619575bd83ab1294a38d3cfb23957a73e

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

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source=pdf_text observed=2026-08-07T13:55:20.249629Z digest=sha256:b404f21f91b45546138169c40fcb2362ecf44be8e6f53f4a0ef89fffcdb1dfff

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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source=pdf_text observed=2026-08-07T13:55:20.350512Z digest=sha256:4353576575cc9429494026b320ac6f6b8f8c0c7d9b8681b1949e1c007f39dbc6

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=sha256:9745df3766253eb4c39ca3e037a2f91e0e435003f831e3e4bd258002e2c14ba1

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=sha256:795707188b42e5d6b4f60f2405ca880a6d1c9249a25f7e447f7469c8823f7290

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

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source=pdf_text observed=2026-08-07T13:55:20.608050Z digest=sha256:da6f7e4b0a326a182356759a9dc482cdd2ff9a7211ab49a140395e27de55b8aa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:20.712834Z digest=sha256:3a88d927803d97a3ac3715797139c30fe781af5b31660663aa4cf22ade8a4590

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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source=pdf_text observed=2026-08-07T13:55:20.760456Z digest=sha256:7da975c0eb8b804c452ecab120c6500ebac46dd8d772d1b7a97c9e6834a5015f

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

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source=pdf_text observed=2026-08-07T13:55:20.807662Z digest=sha256:cf50da4d9971cd44b272d135589480cb106996b98283d4832c7f0ce4d3fb168e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:20.853494Z digest=sha256:8aebed06b69606aa63b52f467c7418049cdfcab1ddf22c51e71743005bb876a7

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:20.915795Z digest=sha256:81ede79be58ad9dfafd16ecfbfae1d67ae30e0368001db6343fa135e45260f8a

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=sha256:7395b909978db5f9f0d3aff1f877d1b38c79a0cde25118ae77746d62fd3ec76d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:21.059332Z digest=sha256:350900addf023a8ca96812d1bf496746c2705d4efb96e55c2dd049bf8f83b1dd

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

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source=pdf_text observed=2026-08-07T13:55:21.118055Z digest=sha256:eac408fa4d18b91682c59eb51e3c4b2458b9c2157ddb93c1ef0726e4c361d23f

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:d67e301cdf2858e00c8db5ec4cf76d15bf7c3349d9fcd0235c046a104286a8f4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:21.222520Z digest=sha256:04aaffc67728c3371dea61978d8026d56d7c984af40959126cc078409dc7bfa0

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

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

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source=pdf_text observed=2026-08-07T13:55:21.273121Z digest=sha256:652cc318849368ffa74961cf623e355f0682f3238dba07ae0df774019096e82f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:21.357032Z digest=sha256:1501de68e673f1b78ed2a174b6d1cc71fb0412542dd5030bdab6700a21119195

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:21.423373Z digest=sha256:c345b1d33aebe473514c264f27d4ad13368562ea8d29379d2bde9cd0c98c4a84

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:21.494473Z digest=sha256:ac04569f88b4d35f04bcafbe45a953b224767b06a5bedb68fe0bf5aeb275bb7b

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:fadc0963bdc76b903fce2bbd557067c0b67e654a2140837a6a468e608e130562

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

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source=pdf_text observed=2026-08-07T13:55:21.666158Z digest=sha256:ff1e30bb131e15bbc345170673e1bc0aa56d336fb87817a7f1f1329ca807874e

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:ddeacff294aa85751dff9e06c304519d3f2f944e470986b60108fe0d99706791

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:bdba9c26eeca89bd8dfffc587cc309b72363691eb45abf61ec97357b92bc5ca8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:22.045334Z digest=sha256:ba36b7a885397682b92fe0134c5485c4faa06fa33fd785e45e859081667c811b

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=sha256:0239c85817ed6cb2e89be7b081eaa1cf07c70514102862a00b88ab1b0fe69952

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:22.322423Z digest=sha256:d3bbe54f66c46a3ba428729b9a8d9309159c28de2b4ae1c7cb48436f6dc9e161

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=sha256:0389e7dfd8720d622391b2345671750bd39f8753a4d7d15ff40770fb34f27341

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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source=pdf_text observed=2026-08-07T13:55:22.569330Z digest=sha256:6b441c68b93e60b02698b38c073ccecac96ea5cca87c12f5cb4bbc7e0faa9c14

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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source=pdf_text observed=2026-08-07T13:55:22.652866Z digest=sha256:ce89fb6ec951b62a6a5308fe6e87cdb5cb44da93015c60f5810d63e25f4f7888

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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source=pdf_text observed=2026-08-07T13:55:22.748762Z digest=sha256:4eb7e31098137b43c01b2e9d4afa3763bbd72476794ca291a5998739d5821434

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=sha256:9a2db69c199165ffb18e3093e1a19e6fada909c44c456d94f2dd1bc0f86f1a15

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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source=pdf_text observed=2026-08-07T13:55:23.023929Z digest=sha256:cbb1a2dc3795526fabcc4bd0c5a9f450493fbb7a1bf05b816b7bdcaa8859b739

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.164511Z digest=sha256:493b54400fed6a727cb90e9e23a23b58ccc95e5e90da3c6bb6b063aee2906497

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:23.301627Z digest=sha256:30dc215a288d0c2391ad02108f230c8500ee165d131509b205d8ea6dcf0a3120

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:23.396434Z digest=sha256:038bfabd580d54967ff9aec9588b72725403f4a6e02bd43d80e311c43d952ec1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:23.470297Z digest=sha256:7595e14f9f8d2c235c60a2a16c6ef538c911ed3d2724529f17dd69f2a00de3aa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:23.544857Z digest=sha256:406f863f796fbec34034ac17475ccd03d0a9158c549c7030e302287a7fe766a4

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:23.647075Z digest=sha256:a05b789ec70fee003dc170045782154522714f8d3c9b8162e02730f9dc0604fa

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=sha256:549b4ed3ba53c7c9db1b1289b28d9fbbeab7f81e6f8d0d5bdccccadc0aa68b20

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:23.877878Z digest=sha256:1e5f216b9e5804d69d79ca5c0155bb91f123974a715119740bcdb8e524e561e2

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:d184d6ddad206d45525b2044feee5abb5344f469a8ae24b3814fe2c6abc55557

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.021881Z digest=sha256:2f7e32dbc08290ebb7c93a96d964658eadefa3356bf0dd1992f6816718f31a8c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.105547Z digest=sha256:4058901dee5c863e9b852a25b9f3dc91ed4f8730d802d4ede9557318f0eeeefb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.178352Z digest=sha256:19d9a56937bcdad691977597014d332e09670dfb602f812637d3b423427d618d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.215501Z digest=sha256:2495ecf795acc82b97701e4f76795b6d94c23d147ef5753cb486dfb65d460849

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
malformed identifier
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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.265582Z digest=sha256:c91ca5b328fe7afca866ee07ebdb316a241deb79a832774ca5bd8456a769179f

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=sha256:60911fb8a1a326d8f2e7f0e8a765d6a1b30ea5e2362424791cfb74cb8bfbf10f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.371714Z digest=sha256:1a939c565d6de7af7874bda3aa2fd2b49238062d9da32076089229cbbc83e5f9

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
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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=sha256:249668a37c8322ac96f0bbfb52b975819382f3fc13f52902a86a8334054d0fe4

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=sha256:59148958bf2524dd8ff968a7c12b133e7be49cd714c9d72a890a4c8857df05fb

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:55:24.591827Z digest=sha256:3b07a78eb199e058bda8f91021c306949b7dcdf504510fda1268ef4353bb85e9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.666899Z digest=sha256:7493ec3703cfa961fd9f04ed47ff8c83a34d50f69d16aadc6167dd7dcb90395a

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
malformed identifier
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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.764980Z digest=sha256:ff1ea6fc93f95bfbca27a271a3f50b32414c4cd7fc36b91decfa473f72b34138

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.839396Z digest=sha256:760de8ccf145649de4487c276d757f6d2099cc049ffad07ee5e4b859f3f62625

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T13:55:24.896391Z digest=sha256:70c311d5752b92b880f10408108b84e80b084c35a4ad41b077fede7dd64c501e

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:a3b035d002055c7323e6733806662075b6feb5b1b4033968ba80d746384f7cf5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-16T14:15:15.772460Z digest=sha256:908d67229483e9afe2a3d9d4130b827dfd0530a016329af0829fdc918e153103

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T16:53:14.107271Z digest=sha256:16af017cdd87ce81fd3feefc3688168ad234f50b9e034b5c668a7dc26d289b9b

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=sha256:1b9a2d6044d211cc866fff48ff2d566d692be5f3918914f8b38f4dc51c28dec4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-07T15:54:31.735078Z digest=sha256:90d1ff95e651f0f47c6230ff9c23a06fa17352e5387a43486e9f505fa26d7fd4

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

Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes cites this paper.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-20T18:15:48.825883Z digest=sha256:b021356652d4be80fe31798daeb267714540d286fa6f33221f5a0ac008828bc0

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T09:22:48.622328Z digest=sha256:259a616279725abbd095af3bf64673162fca737c9113d9c014337d63775288a3