Paper Citation Record · LEDGER

Zeroth law of black hole thermodynamics for higher derivative Proca theories

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2509.09516.

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

pith.paper-citation-record.v1
2509.09516 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:10:40.656625Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:31:41.097639Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation 4d2bcd7e-d955-4a80-84df-f0f6fed18371 · outbound

This paper cites an unresolved cited work.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:39.024261Z

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Observation 156eed4f-cb1a-4797-bbb0-4e2d2b84eef5 · outbound

This paper cites an unresolved cited work.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Unresolved cited work

Reference 2

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Observation 2ac14695-b5f7-4609-9d9b-ecd2351c0564 · outbound

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Zeroth law of black hole thermodynamics for higher derivative Proca theories Unresolved cited work

Reference 3

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Observation 2a424911-7053-437b-852b-7b91c06c20ea · outbound

This paper cites Black Hole Entropy is Noether Charge.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Black Hole Entropy is Noether Charge

Reference 4

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Observation a9008513-30f5-4d39-b40f-456aaa75d99c · outbound

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

Zeroth law of black hole thermodynamics for higher derivative Proca theories Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy

Reference 5

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Observation 444ab5b4-64d0-403e-b607-d313cc89df22 · outbound

This paper cites On Black Hole Entropy.

Zeroth law of black hole thermodynamics for higher derivative Proca theories On Black Hole Entropy

Reference 6

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Observation fdfcbead-6a80-44b5-9adf-6a43bc5561c8 · outbound

This paper cites Entropy of Lovelock Black Holes.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Entropy of Lovelock Black Holes

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:39.669041Z

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Observation 9994b7ad-76a3-4a89-9899-3ca54b67299a · outbound

This paper cites Generalized second law at linear order for actions that are functions of Lovelock densities.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Generalized second law at linear order for actions that are functions of Lovelock densities

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:39.737299Z

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Observation 90b371bc-c68a-45f0-bfbd-a578fa2f97c3 · outbound

This paper cites The holographic entropy increases in quadratic curvature gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories The holographic entropy increases in quadratic curvature gravity

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:39.861819Z

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Observation d5193579-1e7f-4b22-89c4-7601979079d4 · outbound

This paper cites A Second Law for Higher Curvature Gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories A Second Law for Higher Curvature Gravity

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.002930Z

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Observation 26bf9c2d-f3e5-4230-ba0f-196de95be54d · outbound

This paper cites An entropy current for dynamical black holes in four-derivative theories of gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories An entropy current for dynamical black holes in four-derivative theories of gravity

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.173076Z

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Observation cde029da-7f2a-487f-a1ff-30723c55936d · outbound

This paper cites An entropy current and the second law in higher derivative theories of gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories An entropy current and the second law in higher derivative theories of gravity

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.316893Z

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Observation 66ff5570-10e4-4d7e-802a-508f8cef6460 · outbound

This paper cites Linearised Second Law for Higher Curvature Gravity and Non-Minimally Coupled Vector Fields.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Linearised Second Law for Higher Curvature Gravity and Non-Minimally Coupled Vector Fields

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.445305Z

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Observation af17ba21-5987-4691-9963-9da926618bd6 · outbound

This paper cites Non-minimal coupling of scalar and gauge fields with gravity: an entropy current and linearized second law.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Non-minimal coupling of scalar and gauge fields with gravity: an entropy current and linearized second law

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.543249Z

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Observation 5813a872-e105-4fbf-8620-e7c94f69e6c8 · outbound

This paper cites Reparametrization Symmetry of Local Entropy Production on a Dynamical Horizon.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Reparametrization Symmetry of Local Entropy Production on a Dynamical Horizon

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.548349Z

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Observation 63390abb-7482-4099-b805-b15bcc85fb81 · outbound

This paper cites Entropy Current and Fluid-Gravity Duality in Gauss-Bonnet theory.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Entropy Current and Fluid-Gravity Duality in Gauss-Bonnet theory

Reference 16

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Observation 65ac7989-47e2-4e9b-a420-d2c0b868a381 · outbound

This paper cites The second law of black hole mechanics in effective field theory.

Zeroth law of black hole thermodynamics for higher derivative Proca theories The second law of black hole mechanics in effective field theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.559297Z

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Observation d78bfbc3-a7db-42ae-b8aa-a6c275be92c6 · outbound

This paper cites Dynamical Black Hole Entropy in Effective Field Theory.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Dynamical Black Hole Entropy in Effective Field Theory

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.565340Z

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Observation f516b951-24ab-4c2b-9686-ee673ea672eb · outbound

This paper cites A non-perturbative second law of black hole mechanics in effective field theory.

Zeroth law of black hole thermodynamics for higher derivative Proca theories A non-perturbative second law of black hole mechanics in effective field theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.572737Z

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Observation 8fb93a09-9ec5-4a65-b1b5-a61d0ae6e0fc · outbound

This paper cites The Entropy of Dynamical Black Holes.

Zeroth law of black hole thermodynamics for higher derivative Proca theories The Entropy of Dynamical Black Holes

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.578260Z

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Observation 2827be3b-837e-44d7-92aa-bcec6093d582 · outbound

This paper cites Properties of Dynamical Black Hole Entropy.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Properties of Dynamical Black Hole Entropy

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.583433Z

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Observation 18163363-cb25-4a0d-8188-f77d742c1630 · outbound

This paper cites A classical Bousso bound for higher derivative corrections to general relativity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories A classical Bousso bound for higher derivative corrections to general relativity

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.588838Z

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Observation a251bfc8-2ae0-45ec-9397-dfd5a7b6870c · outbound

This paper cites Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.595859Z

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Observation 9c4497bf-b5e0-411a-9951-10e296c88706 · outbound

This paper cites The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.601328Z

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Observation eb12603f-e93c-424c-a30e-770685156470 · outbound

This paper cites The 0th and 2nd Laws of Black Hole Mechanics in Einstein-Maxwell-Scalar Effective Field Theory.

Zeroth law of black hole thermodynamics for higher derivative Proca theories The 0th and 2nd Laws of Black Hole Mechanics in Einstein-Maxwell-Scalar Effective Field Theory

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.606452Z

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Observation 2a574a5f-62b2-4c96-b5ba-e43609763dbc · outbound

This paper cites Beyond generalized Proca theories.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Beyond generalized Proca theories

Reference 26

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Observation 12128e30-fefa-40e6-a554-a4e5ed4b44f1 · outbound

This paper cites Generalization of the Proca Action.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Generalization of the Proca Action

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.616754Z

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Observation 4ab5a841-35e4-4eb8-870e-4fd24fb18bcd · outbound

This paper cites Positivity Bounds for Massive Spin-1 and Spin-2 Fields.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Positivity Bounds for Massive Spin-1 and Spin-2 Fields

Reference 28

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Observation f9d25615-2169-4681-a0e2-20ce0a4632b0 · outbound

This paper cites Consistency of Scalar and Vector Effective Field Theories.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Consistency of Scalar and Vector Effective Field Theories

Reference 29

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Observation 94d7dda0-b6a7-4b6f-8b0b-2f81aadb0be2 · outbound

This paper cites General relativity as an effective field theory: The leading quantum corrections.

Zeroth law of black hole thermodynamics for higher derivative Proca theories General relativity as an effective field theory: The leading quantum corrections

Reference 30

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Observation 365975de-00ba-4bc6-b974-7f9a5b60a541 · outbound

This paper cites Massive Gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Massive Gravity

Reference 31

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Observation 1232b70f-ac3b-442e-8b8e-7e1bf7640b81 · outbound

This paper cites Massless limit of massive self-interacting vector fields.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Massless limit of massive self-interacting vector fields

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T19:10:40.642249Z

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Observation 244d2886-c608-421d-826c-3f0c5495eb08 · outbound

This paper cites On the cosmological degrees of freedom of Proca field with non-minimal coupling to gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories On the cosmological degrees of freedom of Proca field with non-minimal coupling to gravity

Reference 33

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Observation c1d39ec9-62e2-4a2e-9611-ec985d8305ee · outbound

This paper cites Vector dark matter, inflation and non-minimal couplings with gravity.

Zeroth law of black hole thermodynamics for higher derivative Proca theories Vector dark matter, inflation and non-minimal couplings with gravity

Reference 34

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Observation 312d4c14-07c2-4198-93e4-369e2b314689 · outbound

This paper cites New class of Proca interactions.

Zeroth law of black hole thermodynamics for higher derivative Proca theories New class of Proca interactions

Reference 35

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Pith citing papers

Observation f5457aeb-43b3-4ee3-948a-2c653ace9c2d · inbound

A comparison of two constructions for dynamical corrections to Wald entropy cites this paper.

A comparison of two constructions for dynamical corrections to Wald entropy Zeroth law of black hole thermodynamics for higher derivative Proca theories

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T02:31:41.097639Z

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