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Paper Citation Record · LEDGER

Formulation and Proof of the Gravitational Entropy Bound

As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2412.02470.

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

pith.paper-citation-record.v1
2412.02470 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:33:21.267801Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:18:48.380093Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T18:18:50.031582Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d10c29a-fd82-47ed-970d-904bdb707b41 · outbound

This paper cites Framework for the Quantum Mechanical Sum of Possibilities and Meaning for Field Theory and Gravity.

Formulation and Proof of the Gravitational Entropy Bound Framework for the Quantum Mechanical Sum of Possibilities and Meaning for Field Theory and Gravity

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:20.951224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:20.951224Z digest=sha256:0c8a6a7d43987eeaba9851b9569244e0d95fc649c757d7c931053c9f3e0a0fff

Observation cba44071-f0ca-41f9-bd43-7fa2216cf791 · outbound

This paper cites String Theory in a Nutshell: Second Edition,.

Formulation and Proof of the Gravitational Entropy Bound String Theory in a Nutshell: Second Edition,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:33:21.661333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T23:33:20.958029Z digest=sha256:52aa06ba99afc7db056f37aabd6a3eec04cfa7bb0214624f6dad706a9f3efe46

Observation e04f3ea2-b6ed-452b-8d44-5c92e806f39e · outbound

This paper cites A Covariant Entropy Conjecture.

Formulation and Proof of the Gravitational Entropy Bound A Covariant Entropy Conjecture

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:20.964177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:20.964177Z digest=sha256:c16f16f3a8beb0306b6c9ef6b8bfae0ac7845899b5c85dc1c21e3468221310f3

Observation b29844ce-768f-4122-bb52-e9013760496e · outbound

This paper cites Relative entropy and the Bekenstein bound.

Formulation and Proof of the Gravitational Entropy Bound Relative entropy and the Bekenstein bound

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:20.971422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:20.971422Z digest=sha256:e81bb1f494ddc9e440aa1947711465a3c5c8a087e12f4829032f6f37588eb81c

Observation 8a2cf889-4c0f-48ed-a2d4-676c8b6604ee · outbound

This paper cites Schwarzschild/CFT from soft black hole hair?.

Formulation and Proof of the Gravitational Entropy Bound Schwarzschild/CFT from soft black hole hair?

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:33:21.573968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T23:33:20.977894Z digest=sha256:0d46c955feec851425c87da0234d7f94fa647d4128b2158ceab41249ff6fcb18

Observation 923fda21-655f-4ae3-9f1c-48884109cd85 · outbound

This paper cites Entropy Counting from Schwarzschild/CFT and Soft Hair.

Formulation and Proof of the Gravitational Entropy Bound Entropy Counting from Schwarzschild/CFT and Soft Hair

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:33:21.546746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T23:33:20.984011Z digest=sha256:6e881428fcefd94c208cfdc65f2de13b6a0d626c83de93fa358cb042cb03ccf8

Observation 8553443b-ef9f-47d5-bd46-caa75e029edf · outbound

This paper cites Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy.

Formulation and Proof of the Gravitational Entropy Bound Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:20.998327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:20.998327Z digest=sha256:5d78ba88603924e6bde71f9b82e57113342589945c3f7cfe82e5c9016404677f

Observation 59a4760b-2928-49ae-a461-f65b06a698af · outbound

This paper cites Black hole entropy is the Noether charge,.

Formulation and Proof of the Gravitational Entropy Bound Black hole entropy is the Noether charge,

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:21.065477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:21.065477Z digest=sha256:39ac8928ffaa0a2e0968d83e58659246e0a122b437838af3560aee673fe9307e

Observation d34c154f-88a3-4103-9a92-a575db6b36b6 · outbound

This paper cites Holographic Entanglement Entropy.

Formulation and Proof of the Gravitational Entropy Bound Holographic Entanglement Entropy

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:21.141667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:21.141667Z digest=sha256:80837dc0a15f8b0b6cbc1e46f2b48820ddd1d66ff823b0130d56c27ce56bd0ba

Observation 85a1f47c-612a-4638-82ae-1ba7796f32d5 · outbound

This paper cites Holographic Entanglement Entropy for General Higher Derivative Gravity.

Formulation and Proof of the Gravitational Entropy Bound Holographic Entanglement Entropy for General Higher Derivative Gravity

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:21.245252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:21.245252Z digest=sha256:8cefa2824a6c62be64868770127bb82a1ca4c0e5eb1a8fe670fbee288b8afb74

Observation c7d87046-f940-40f9-bb8b-1b176e74f695 · outbound

This paper cites Entropy, Extremality, Euclidean Variations, and the Equations of Motion.

Formulation and Proof of the Gravitational Entropy Bound Entropy, Extremality, Euclidean Variations, and the Equations of Motion

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T23:33:21.267801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:33:21.267801Z digest=sha256:0781642acd9cab24e0dc3ca3cca22dfc0682a17a75a83f5904921914409a0988

Pith citing papers

Observation 5343df23-e96b-401b-85d4-69aa450d4857 · inbound

Obstructions to unirationality for product-quotient surfaces over $\overline{\mathbb{F}}_p$ cites this paper.

Obstructions to unirationality for product-quotient surfaces over $\overline{\mathbb{F}}_p$ Formulation and Proof of the Gravitational Entropy Bound

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:18:50.151361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T18:18:48.380093Z digest=sha256:a64c1003260954d0d02089a101d9474a929b761dc774d35c2f902511f7c21f5c