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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:52:41.721794Z

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 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

Resolution
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T18:21:41.604721Z digest=sha256:b9be10955acf4c23e84cc1291911b326fe8c5bb33eb269691847a26bac0e42ec

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=sha256:66f61ff34b6dd627792fb1a91eeebe72ad7a19ca67ec57f6e69e48fc92cb7cfe

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-16T12:37:00.127066Z digest=sha256:4e86ebed5bec704640adb93b74da6e965f913146cd1b778d0e1ba04361d7a6e3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T20:05:01.418811Z digest=sha256:fcb11c015d4ea6435b5af7854fc6b2e352576fee31d1b7578dcb169042220880

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T04:52:40.574118Z digest=sha256:5fe5ceb1ee3d259389d6ac1f3b401d9506c02ba57c2de0aa98531e944066ec62

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:ec3eb88a844e2eaefad66fe2f7a4782e49d93c086ecf9c72f042d7edf8840ea1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-01T02:14:56.293536Z digest=sha256:f4433022a92404f0dec1e26086a23be833178a86d5a564fd5b13a63264b24a6f