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Paper Citation Record · LEDGER

Black Holes as Critical Point of Quantum Phase Transition

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1207.4059.

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

pith.paper-citation-record.v1
1207.4059 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:59:43.604953Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T00:46:24.884692Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 93b88e70-bb9a-4dbd-83ea-8fb7ee1d0ddc · inbound

Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation cites this paper.

Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation Black Holes as Critical Point of Quantum Phase Transition

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T12:59:43.604953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7a3ae6d7-88c7-441a-810b-e46587a99239 · inbound

Relativistic accretion and burdened primordial black holes cites this paper.

Relativistic accretion and burdened primordial black holes Black Holes as Critical Point of Quantum Phase Transition

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T20:36:14.338126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:36:14.338126Z digest=sha256:201cd451b1fbd7e9c2d2114176b9fd7d2e07fca626e995fdc816960434f74339

Observation 5a242640-16c5-4fc1-a69f-ede1afb653cd · inbound

Loops Outside a Black Hole cites this paper.

Loops Outside a Black Hole Black Holes as Critical Point of Quantum Phase Transition

Reference 80

Resolution
verified exact
local_arxiv, observed 2026-05-18T18:56:46.486643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T18:53:15.440347Z digest=sha256:332736a29b8dc5c1c82af86837cd9a9eaef030b200d438a6fc31ea9157307d79

Observation eb4c3678-756b-4645-8371-50074420d9ad · inbound

On Time-Evolution in Quantum Gravity cites this paper.

On Time-Evolution in Quantum Gravity Black Holes as Critical Point of Quantum Phase Transition

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T09:20:01.942859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:20:01.942859Z digest=sha256:711a5c06170c7d4a783e4df8dd1adccd1b01c2b2cfba86c680854f4c9018a97d

Observation 2f23a5d2-3ba1-478e-b6f2-fc7b4e4032fb · inbound

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model cites this paper.

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model Black Holes as Critical Point of Quantum Phase Transition

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:32:59.283701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-14T21:31:35.412250Z digest=sha256:7a73c1e3f2cd37e035bfd03e49545e675e04b8e90d6232a32cf43eae96ea34b3

Observation e44e1da1-43ce-465c-9ed7-1a2c0e62b154 · inbound

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model cites this paper.

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model Black Holes as Critical Point of Quantum Phase Transition

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-02T17:19:09.168585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T17:19:09.168585Z digest=sha256:cd1cb068c2c7715e084cbecfad8159565ed1a6a7c029ff36991e60cfbd0b7d12

Observation 0c3c9727-f5d1-4524-a9e1-c41240e64ba0 · inbound

Probabilistic Causality from Graviton Fluctuations cites this paper.

Probabilistic Causality from Graviton Fluctuations Black Holes as Critical Point of Quantum Phase Transition

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-07-02T00:46:24.886880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-28T13:15:56.916573Z digest=sha256:445e5f72390b18615a89dbb4c0b4fd564824b21d7988fffac1ea1688fe71197b

Observation 0afce265-11ee-4608-8459-3011f59331c4 · inbound

Probabilistic Causality from Graviton Fluctuations cites this paper.

Probabilistic Causality from Graviton Fluctuations Black Holes as Critical Point of Quantum Phase Transition

Reference 52

Resolution
unresolved
no resolver link, observed 2026-07-12T15:18:51.780970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T15:18:51.780970Z digest=sha256:b2e6242fd3e52799e5b825226590c539883821b1d20c24b3c88c42f80a2b8f56

Observation b30bfd2f-725c-43cb-9072-0b5131120337 · inbound

Black Hole Memory Burden and its Signatures in Gravitational Waves from Mergers cites this paper.

Black Hole Memory Burden and its Signatures in Gravitational Waves from Mergers Black Holes as Critical Point of Quantum Phase Transition

Reference 102

Resolution
unresolved
no resolver link, observed 2026-07-12T01:35:28.681910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T01:35:28.681910Z digest=sha256:3291758d15e9e0dd5ff56416c599d094d7fc160e8813bac1634d81d979b2880c