Paper Citation Record · LEDGER

Thermodynamics of black and white holes in ensemble of Planckons

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2506.13145.

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

pith.paper-citation-record.v1
2506.13145 v5

Coverage vector

measured 42 of 42 reference resolution

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:18:21.968701Z

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

Source: pith, observed 2026-08-15T23:18:22.346398Z

Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation cdee3a75-a965-49f6-bae1-78f6178ec693 · outbound

This paper cites Tsallis-Cirto entropy of black hole and black hole atom.

Thermodynamics of black and white holes in ensemble of Planckons Tsallis-Cirto entropy of black hole and black hole atom

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:44:01.648146Z

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Observation de568aa6-0077-4fe4-b7e1-5a8268b11e5a · outbound

This paper cites Extended Tsallis-Cirto entropy for black and white holes.

Thermodynamics of black and white holes in ensemble of Planckons Extended Tsallis-Cirto entropy for black and white holes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:44:01.394332Z

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Observation f970b89f-a25f-40b8-b842-7171726a08f0 · outbound

This paper cites Tsallis and L.J.L.

Thermodynamics of black and white holes in ensemble of Planckons Tsallis and L.J.L

Reference 3

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Observation 87b737e3-68f5-460b-8e8d-93168019f7f3 · outbound

This paper cites Tsallis, Black Hole Entropy: A Closer Look, Entropy 22 , 17 (2020).

Thermodynamics of black and white holes in ensemble of Planckons Tsallis, Black Hole Entropy: A Closer Look, Entropy 22 , 17 (2020)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:06.249620Z

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Observation 130727fb-e363-4b5d-b38d-ecd53c12388e · outbound

This paper cites Parikh and F.

Thermodynamics of black and white holes in ensemble of Planckons Parikh and F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:05.962227Z

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Observation f853371c-6313-432a-8541-f9127690def4 · outbound

This paper cites Landau and E.M.

Thermodynamics of black and white holes in ensemble of Planckons Landau and E.M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:54.508943Z

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Observation 942ffed1-d697-400a-9cd6-62daf28b51eb · outbound

This paper cites Markov, Elementary Particles of Maximally Large Masses (Quarks and Maximons), JETP 24 , 584 (1967).

Thermodynamics of black and white holes in ensemble of Planckons Markov, Elementary Particles of Maximally Large Masses (Quarks and Maximons), JETP 24 , 584 (1967)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:05.680590Z

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Observation f684f9e1-82b2-41c3-8fc7-047a2672967c · outbound

This paper cites an unresolved cited work.

Thermodynamics of black and white holes in ensemble of Planckons Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:54.731967Z

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Observation fd1944f9-f5bc-4283-9f9a-3586dded55be · outbound

This paper cites an unresolved cited work.

Thermodynamics of black and white holes in ensemble of Planckons Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:44:05.437042Z

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Observation 15ec86a8-3fac-4a0e-ba4d-e32937f6636d · outbound

This paper cites Planck stars, White Holes, Remnants and Planck-mass quasi-particles. The quantum gravity phase in black holes' evolution and its manifestations.

Thermodynamics of black and white holes in ensemble of Planckons Planck stars, White Holes, Remnants and Planck-mass quasi-particles. The quantum gravity phase in black holes' evolution and its manifestations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:54.953430Z

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Observation 61447bd5-02be-4be9-a697-96fb562d6b37 · outbound

This paper cites The Case For Black Hole Remnants: A Review.

Thermodynamics of black and white holes in ensemble of Planckons The Case For Black Hole Remnants: A Review

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:55.099548Z

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Observation 429e1e3c-241e-4182-a4cf-918da5350f60 · outbound

This paper cites an unresolved cited work.

Thermodynamics of black and white holes in ensemble of Planckons Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:55.188538Z

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Observation e231f1a6-1285-48f9-82bf-2b0eac815eea · outbound

This paper cites Painlev\'e, La m\'ecanique classique et la th\'eorie de la relativit\'e, C.

Thermodynamics of black and white holes in ensemble of Planckons Painlev\'e, La m\'ecanique classique et la th\'eorie de la relativit\'e, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:05.105691Z

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Observation f5403193-ff39-4b72-aa58-b5220d2658d8 · outbound

This paper cites osung des statischen Eink\.

Thermodynamics of black and white holes in ensemble of Planckons osung des statischen Eink\

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:04.843690Z

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Observation 549f0894-8da3-4c6b-8e6e-3a183c087390 · outbound

This paper cites Arnowitt, S.

Thermodynamics of black and white holes in ensemble of Planckons Arnowitt, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:04.552761Z

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Observation f5a23ab2-7d2d-407c-8131-f536eb317b93 · outbound

This paper cites Introduction to Black Hole Thermodynamics.

Thermodynamics of black and white holes in ensemble of Planckons Introduction to Black Hole Thermodynamics

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:55.710412Z

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Observation 68935fd8-26a3-43b1-9001-f578ab3d0e4d · outbound

This paper cites Macroscopic quantum tunneling: from quantum vortices to black holes and Universe.

Thermodynamics of black and white holes in ensemble of Planckons Macroscopic quantum tunneling: from quantum vortices to black holes and Universe

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:55.831881Z

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Observation 44a614e2-829c-47dd-b631-e81587afd359 · outbound

This paper cites Eardley, Death of White Holes in the Early Universe, Phys.

Thermodynamics of black and white holes in ensemble of Planckons Eardley, Death of White Holes in the Early Universe, Phys

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:04.280497Z

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Observation a8216684-952b-4520-a70d-45d1e1ba70df · outbound

This paper cites Bekenstein, Universal upper bound on the entropy-to-energy ratio for bounded systems, Phys.

Thermodynamics of black and white holes in ensemble of Planckons Bekenstein, Universal upper bound on the entropy-to-energy ratio for bounded systems, Phys

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:03.981961Z

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Observation a6bd6961-20ae-4ead-97f7-d0e3199b441b · outbound

This paper cites How does the entropy/information bound work ?.

Thermodynamics of black and white holes in ensemble of Planckons How does the entropy/information bound work ?

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:44:01.023901Z

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Observation eee5546f-13c9-454c-ab4f-3b6e9c0c4f90 · outbound

This paper cites Dimensional Reduction in Quantum Gravity.

Thermodynamics of black and white holes in ensemble of Planckons Dimensional Reduction in Quantum Gravity

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:56.310548Z

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Observation 20af776e-964c-4e3a-896d-d947281fe5a6 · outbound

This paper cites Susskind, The World as a Hologram, J.

Thermodynamics of black and white holes in ensemble of Planckons Susskind, The World as a Hologram, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:03.674582Z

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Observation 82689e13-cb90-428b-89ec-86ef3cd048a5 · outbound

This paper cites Volovik, From Landau two-fluid model to de Sitter Universe, to be published in Uspekhi, arXiv:2410.04392.

Thermodynamics of black and white holes in ensemble of Planckons Volovik, From Landau two-fluid model to de Sitter Universe, to be published in Uspekhi, arXiv:2410.04392

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:56.510885Z

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Observation 42d51268-30a7-40b5-93d1-12e4006ad112 · outbound

This paper cites Carroll, Matthew C.

Thermodynamics of black and white holes in ensemble of Planckons Carroll, Matthew C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:03.377258Z

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Observation 62557f67-6e9a-43d5-a163-cf69609d12ef · outbound

This paper cites Quantum phase transitions from topology in momentum space.

Thermodynamics of black and white holes in ensemble of Planckons Quantum phase transitions from topology in momentum space

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:44:00.606110Z

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Observation e16116ca-5eb3-48b2-93b0-919dc570982b · outbound

This paper cites Topology of Event Horizons and Topological Censorship.

Thermodynamics of black and white holes in ensemble of Planckons Topology of Event Horizons and Topological Censorship

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:44:00.289356Z

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Observation 743b7085-2e9b-498d-b35a-823076837603 · outbound

This paper cites General relativity with a topological phase: an action principle.

Thermodynamics of black and white holes in ensemble of Planckons General relativity with a topological phase: an action principle

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:57.051040Z

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Observation 4f230181-d637-40e4-a9fa-5ee4d6baa82b · outbound

This paper cites Lifshitz, Anomalies of electron characteristics of a metal in the high pressure region, JETP 11 , 1130--1135 (1960).

Thermodynamics of black and white holes in ensemble of Planckons Lifshitz, Anomalies of electron characteristics of a metal in the high pressure region, JETP 11 , 1130--1135 (1960)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:03.052068Z

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Observation e40d320a-d62e-4dd8-985c-db3ec45849e4 · outbound

This paper cites Hughes and Fedor V.

Thermodynamics of black and white holes in ensemble of Planckons Hughes and Fedor V

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:43:59.988934Z

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Observation b62d4f8b-656d-4d53-8ab2-2ac7f6a5eb83 · outbound

This paper cites Black hole thermodynamics and topology.

Thermodynamics of black and white holes in ensemble of Planckons Black hole thermodynamics and topology

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:43:59.643291Z

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Observation 7128c9bc-62ef-43cf-8b2e-96134f91a29f · outbound

This paper cites Complex Ashtekar variables, the Kodama state and spinfoam gravity.

Thermodynamics of black and white holes in ensemble of Planckons Complex Ashtekar variables, the Kodama state and spinfoam gravity

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:57.630072Z

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Observation 5d356eb3-3d8c-4c0e-bf41-d39e2a1d8b55 · outbound

This paper cites The Cosmological Constant from a Quantum Gravitational $\theta$-Vacua and the Gravitational Hall Effect.

Thermodynamics of black and white holes in ensemble of Planckons The Cosmological Constant from a Quantum Gravitational $\theta$-Vacua and the Gravitational Hall Effect

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:43:59.413147Z

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Observation 54ff06c2-9893-44e5-b463-44b65b31280a · outbound

This paper cites Vladimirov and D.

Thermodynamics of black and white holes in ensemble of Planckons Vladimirov and D

Reference 33

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Observation 83d3f737-0a0d-467a-967f-1608cc43a870 · outbound

This paper cites Dimensionless physics.

Thermodynamics of black and white holes in ensemble of Planckons Dimensionless physics

Reference 34

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Observation 43978e3e-7b12-4612-bc2e-5167710654c8 · outbound

This paper cites Quantum gravity black holes as dark matter?.

Thermodynamics of black and white holes in ensemble of Planckons Quantum gravity black holes as dark matter?

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:58.085956Z

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Observation 879b1d44-8510-46f5-9f72-eb7373047b67 · outbound

This paper cites Danielson, Gautam Satishchandran and Robert M.

Thermodynamics of black and white holes in ensemble of Planckons Danielson, Gautam Satishchandran and Robert M

Reference 36

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Observation cb41312c-5a84-4cc0-b2b9-04ac0f28977f · outbound

This paper cites Danielson, Gautam Satishchandran and Robert M.

Thermodynamics of black and white holes in ensemble of Planckons Danielson, Gautam Satishchandran and Robert M

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:02.460313Z

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Observation 456c1774-358d-4b56-8f5c-a573ea2c748f · outbound

This paper cites Singh, Hendrik Ulbricht, Models of Wave-function Collapse, Underlying Theories, and Experimental Tests, Rev.

Thermodynamics of black and white holes in ensemble of Planckons Singh, Hendrik Ulbricht, Models of Wave-function Collapse, Underlying Theories, and Experimental Tests, Rev

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:02.173228Z

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Observation e91d842d-d24e-4875-b527-82caafd9422e · outbound

This paper cites Geraci, Saba Mehsar Khan, Sofia Qvarfort, Markus Rademacher, Muddassar Rashid, Marko Toroš, Hendrik Ulbricht, Clara C.

Thermodynamics of black and white holes in ensemble of Planckons Geraci, Saba Mehsar Khan, Sofia Qvarfort, Markus Rademacher, Muddassar Rashid, Marko Toroš, Hendrik Ulbricht, Clara C

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:44:01.882375Z

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Observation f9fa2327-e0ac-4501-98d8-376ee4ef8668 · outbound

This paper cites Black Holes Inside and Out 2024: visions for the future of black hole physics.

Thermodynamics of black and white holes in ensemble of Planckons Black Holes Inside and Out 2024: visions for the future of black hole physics

Reference 40

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Observation 88ce8bf0-5f13-48e6-ace9-98acbfd43d68 · outbound

This paper cites The enigmatic gravitational partition function.

Thermodynamics of black and white holes in ensemble of Planckons The enigmatic gravitational partition function

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:58.729816Z

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Observation e06255ab-f2ea-43cd-a717-0286c676fcd5 · outbound

This paper cites Krylov Complexity.

Thermodynamics of black and white holes in ensemble of Planckons Krylov Complexity

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T00:43:58.826222Z

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Pith citing papers

Observation b317ba1a-f0aa-4b3b-a86c-da7fcd347703 · inbound

Extended Tsallis-Cirto entropy for black and white holes cites this paper.

Extended Tsallis-Cirto entropy for black and white holes Thermodynamics of black and white holes in ensemble of Planckons

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:18:22.352439Z

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Observation 5013018b-5132-4a92-b9a7-43cb96d6fea5 · inbound

From gravastar to central singularity cites this paper.

From gravastar to central singularity Thermodynamics of black and white holes in ensemble of Planckons

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T14:30:45.450953Z

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Observation 20ca9a97-5603-478c-844a-dd624fd4fdc6 · inbound

From gravastar to central singularity cites this paper.

From gravastar to central singularity Thermodynamics of black and white holes in ensemble of Planckons

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T04:15:25.030780Z

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