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Paper Citation Record · LEDGER

First law of black hole thermodynamics and Smarr formula with a cosmological constant

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2103.10983.

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

pith.paper-citation-record.v1
2103.10983 v2

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 2026-08-14T06:32:32.682623+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:45:30.966283Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T14:45:49.778348Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 757ecdbe-d28e-402e-8dfd-d1b29e215e49 · inbound

On the thermodynamics of the black holes of the Cano-Ruip\'erez 4-dimensional string effective action cites this paper.

On the thermodynamics of the black holes of the Cano-Ruip\'erez 4-dimensional string effective action First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T19:45:30.966283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:45:30.966283Z digest=sha256:36a2d525c7dc41dc3651c73bc0415ba8e40ad7a6522a08fe2664ea366270f1d6

Observation 26710d53-1674-44cd-9de3-6fb7e6c42f44 · inbound

Notes on solution phase space and BTZ black hole cites this paper.

Notes on solution phase space and BTZ black hole First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 115

Resolution
unresolved
no resolver link, observed 2026-08-12T15:34:03.235434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:34:03.235434Z digest=sha256:5229be9c637ee487b0d84da0ab9b924725f817e51a9a5a6b8429662048ac707e

Observation 81a709e3-0826-4f32-8a5f-f734fb73a403 · inbound

Gravitational constant as a conserved charge in black hole thermodynamics cites this paper.

Gravitational constant as a conserved charge in black hole thermodynamics First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 36

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verified exact
arxiv_id, observed 2026-05-18T18:22:46.998979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T18:21:41.604721Z digest=sha256:f8cb996477d2ac80735ef2a7d42cf2042dbad1b07aae4f48b11e54989a461f05

Observation 8bb35357-2048-479d-a2bc-c583a1bb0668 · inbound

A Universal Smarr Formula via Coupling Constants cites this paper.

A Universal Smarr Formula via Coupling Constants First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T19:52:41.721794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:52:41.721794Z digest=sha256:f57c09024bd54c515ca2ed4a933a2b1d0dd0627cca1235f036e6ec94f5988423

Observation 5c04f9e8-4601-4e68-bc89-a5dcdf94a894 · inbound

Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge cites this paper.

Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-16T12:37:52.993240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-16T12:37:00.127066Z digest=sha256:17fd606ba6eb127b9af85aead47191f6bd219987b718022eba4d371d4cb9522f

Observation 5278c868-4880-42ee-af9f-93037b6e4468 · inbound

An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity cites this paper.

An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 24

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T14:45:49.780385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T20:05:01.418811Z digest=sha256:84245f72c566759bf54be34ae15c24c8e699751bdce913c35fc6b619079f0843

Observation 42534f5d-10f1-40c2-b0f3-54e3b6f13cdc · inbound

The Role of the Volume in Black Hole Thermodynamics cites this paper.

The Role of the Volume in Black Hole Thermodynamics First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-06-30T04:54:16.657735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T04:52:40.574118Z digest=sha256:b03d79336b37421c4283e08dc3456fea490d4bc2d1d07ddd224fbe0e02f69d01

Observation 5a6efb40-5a71-4914-8ace-e074d5e377c5 · inbound

The Role of the Volume in Black Hole Thermodynamics cites this paper.

The Role of the Volume in Black Hole Thermodynamics First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-02T09:33:10.974457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T09:33:10.974457Z digest=sha256:dcaff5ece69c3c3b082f7458db881624095c4c2605ec3a99c0f5657e2c193ead

Observation 2858ca10-7e13-4187-a4c8-cd6d3a214df6 · inbound

Dynamical Completion of Coupling-Charge Thermodynamics cites this paper.

Dynamical Completion of Coupling-Charge Thermodynamics First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T12:15:44.144906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-01T02:14:56.293536Z digest=sha256:d1af9ea267f13af221f2391757ddbc7a40f6826b038ff971bdbb2a0579ac5cfb