Paper Citation Record · LEDGER

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

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 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 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:24.728562Z

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

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

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.

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.

Observation 4983877a-4c7b-48c7-98e9-244ca14da362 · inbound

Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory cites this paper.

Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory First law of black hole thermodynamics and Smarr formula with a cosmological constant

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:24.728562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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 2026-08-20T06:33:59.587034+00:00.

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.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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.

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 2026-08-20T06:33:59.587034+00:00.