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Paper Citation Record · LEDGER

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes

As of 10 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2607.24254.

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

pith.paper-citation-record.v1
2607.24254 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T19:58:04.586036Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T19:58:04.541939Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 911e3726-1420-40f5-a44f-d6716c3042e7 · outbound

This paper cites Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes

Reference 1

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unresolved
no resolver link, observed 2026-07-31T19:58:04.541939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.541939Z digest=sha256:b4fdea94ba28a9b816c229542a36f752c926713582b7c693b02275449d358ea2

Observation c25fc967-9bc7-4bc2-9e45-7e8920766b0c · outbound

This paper cites Einstein, The foundation of the general theory of rel- ativity, Annalen Phys.49, 769 (1916).

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Einstein, The foundation of the general theory of rel- ativity, Annalen Phys.49, 769 (1916)

Reference 2

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no resolver link, observed 2026-07-31T19:58:04.546139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.546139Z digest=sha256:90914ebab7842f9492150df40be49796f44c53e6e780f64d03d031de9698abc8

Observation 27c3cc7f-2326-4694-978d-2e8513ea0cdf · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 3

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unresolved
no resolver link, observed 2026-07-31T19:58:04.548971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.548971Z digest=sha256:a09eba6fc011dd503394bdea134b899953e9c51b0b5d73cc438769acc73bca40

Observation e177270c-1aa1-443f-9b97-8028ed3b9a19 · outbound

This paper cites Akiyamaet al.(Event Horizon Telescope Collabora- tion), First M87 event horizon telescope results.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Akiyamaet al.(Event Horizon Telescope Collabora- tion), First M87 event horizon telescope results

Reference 4

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no resolver link, observed 2026-07-31T19:58:04.551991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.551991Z digest=sha256:af27694de5cdfedbcd641b38a7311f3eb541ff990267abea93e2853fdc6a6198

Observation d006f254-f86b-4c8d-a1a6-f727c26ec8c1 · outbound

This paper cites Penrose, Gravitational collapse and space-time singu- larities, Phys.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Penrose, Gravitational collapse and space-time singu- larities, Phys

Reference 5

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unresolved
no resolver link, observed 2026-07-31T19:58:04.554438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.554438Z digest=sha256:5e060c5eb53b984a545e0d520fa7c7d19092fce092281a3fd724dda58f71ae81

Observation 8a34edf2-45c8-43ed-b1a1-e0fb381a64d4 · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 6

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unresolved
no resolver link, observed 2026-07-31T19:58:04.557613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.557613Z digest=sha256:b8dad6000e1a8c8bc410a39478f13e72555db3bb311a271420edce2284079717

Observation 4a70fb2b-d05e-4f32-817a-cbe6f2fc7594 · outbound

This paper cites Schwarzschild, On the gravitational field of a mass point according to Einstein’s theory, Sitzungsber.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Schwarzschild, On the gravitational field of a mass point according to Einstein’s theory, Sitzungsber

Reference 7

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unresolved
no resolver link, observed 2026-07-31T19:58:04.560355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.560355Z digest=sha256:1d48499f0b307b78d201f92fa71b0922eeac5341a86d62a678236b6fc57a318a

Observation 46ec820d-0919-453c-b5b3-7f4ce84ae17e · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 8

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unresolved
no resolver link, observed 2026-07-31T19:58:04.562710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.562710Z digest=sha256:68de61e399a74c6ed288c3b64814f65e0b8b47dcbc6765d3661177f7fdfc12cf

Observation cfcab114-b563-45a8-8e8a-6a97474b0334 · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-31T19:58:04.565672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.565672Z digest=sha256:9312c32e25d351484ca5a7fe32ef552f860ee1112d80838e3d0926b06c5ea86c

Observation 81db43d8-ab7b-4543-9a07-9220ba588e9d · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 10

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unresolved
no resolver link, observed 2026-07-31T19:58:04.568081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.568081Z digest=sha256:7b6265036566eb99a089ee757b194486f3e8e68f83247742d5c39eb88efca8a7

Observation 28d03b8a-1acc-47bb-9ff2-22d3c780842f · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 11

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unresolved
no resolver link, observed 2026-07-31T19:58:04.570494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.570494Z digest=sha256:00c7dc81f6b40f1502e09965c041ea77baaeec17972e6e4a270b97eb90a582b9

Observation dd00da38-d4a4-4fc4-b803-f7efb1f7820e · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-31T19:58:04.572829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.572829Z digest=sha256:241644561223d95bb056d46d19a6ec44b9c52975882b089926c73e6cca61c1eb

Observation 554a9c6c-81e7-4729-a9b6-a40dbb629718 · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-31T19:58:04.575227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.575227Z digest=sha256:2dbb5cfe2912ee10ed6ed2a797a5f6cdcf98a0c264538623a574747e75981709

Observation eab560c0-f33a-4185-b2e7-d73e63bdcd3a · outbound

This paper cites Revisiting Thermodynamics of the Hayward Black Holes and Exploring Binary Merger Bounds.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Revisiting Thermodynamics of the Hayward Black Holes and Exploring Binary Merger Bounds

Reference 14

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unresolved
no resolver link, observed 2026-07-31T19:58:04.577938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.577938Z digest=sha256:573f0b7083874f1a13b3fad2758e565ae66bc4528e7a16ffb1c8d6f4f079b98d

Observation 47e1b3b6-1814-40aa-a903-e7a3e64ef787 · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-31T19:58:04.580753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.580753Z digest=sha256:1051bc27449288084efd612b59072a6ba53b5014f0411addedc08bffc77bf268

Observation e488f042-27ab-4f85-b79c-77f067269a7a · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 16

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unresolved
no resolver link, observed 2026-07-31T19:58:04.583494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.583494Z digest=sha256:7775c78d229c2595af13627818c4af4479c472876da850ce64c3563d721dda91

Observation f7ba0dfd-30b9-4d5c-aac0-06c34a549627 · outbound

This paper cites an unresolved cited work.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Unresolved cited work

Reference 17

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unresolved
no resolver link, observed 2026-07-31T19:58:04.586036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.586036Z digest=sha256:a5077aba9b800ee2e8a75230e46e6d362b902808947c5e27e4792d4345ddfa72

Pith citing papers

Observation 911e3726-1420-40f5-a44f-d6716c3042e7 · inbound

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes cites this paper.

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-31T19:58:04.541939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T19:58:04.541939Z digest=sha256:b4fdea94ba28a9b816c229542a36f752c926713582b7c693b02275449d358ea2