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Paper Citation Record · LEDGER

Smarr Formula and an Extended First Law for Lovelock Gravity

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:1005.5053.

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

pith.paper-citation-record.v1
1005.5053 v3

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measured 0 of 0 reference resolution

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measured 15 of 15 standing notices

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

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:55:09.555599Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T09:16:49.066172Z

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Outbound references

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Pith citing papers

Observation 83851434-501e-4c74-906d-65ee89ad4260 · inbound

Black hole chemistry: thermodynamics with Lambda cites this paper.

Black hole chemistry: thermodynamics with Lambda Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 80

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local_arxiv, observed 2026-05-17T10:30:44.049178Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-17T10:30:43.448967Z digest=sha256:d6bc8437c43ba170ed20b339a0c897959f992991d220e03369856acae4ec4389

Observation c14c9951-fd65-498b-91d1-db2e7b4c6b53 · 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 Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 11

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no resolver link, observed 2026-08-12T19:45:30.949765Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:45:30.949765Z digest=sha256:4da09d2c18c5e5906e2669c5c6d049a03aeb88dcdb6b2266018f7f35ca9b2ad7

Observation a1e17453-ce4d-4a36-a3f8-4b758e79713c · inbound

Thermodynamics of charged rotating black strings in extended phase space cites this paper.

Thermodynamics of charged rotating black strings in extended phase space Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 15

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no resolver link, observed 2026-08-10T20:13:00.022450Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:13:00.022450Z digest=sha256:f1b025de8e356bf92ed7316662f387e17f960a01a6dafc588dd1f7f075587aaa

Observation c58a3db2-1e8a-4321-aab2-a5159a89f852 · inbound

Holographic explorations of regular black holes in pure gravity cites this paper.

Holographic explorations of regular black holes in pure gravity Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 104

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unresolved
no resolver link, observed 2026-08-15T20:55:09.555599Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:55:09.555599Z digest=sha256:15aa8fa1027f373137593da83e02d127a04d67f9dd48e00b4f437b4aa7e2a877

Observation 346177a1-620a-4d23-9a0f-c74dce8e7e34 · inbound

A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime cites this paper.

A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 17

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no resolver link, observed 2026-08-07T15:27:26.210653Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:27:26.210653Z digest=sha256:e59289c8e09280310745f6d29b9ec4f9ddcb75d35ddfb131db30f4090daf7fbb

Observation fb6a5473-e272-4a0a-9547-f93b7c7a4b0b · inbound

The Komar charge in presence of the Holst term and the gravitational Witten effect cites this paper.

The Komar charge in presence of the Holst term and the gravitational Witten effect Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T23:57:50.771733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:57:50.771733Z digest=sha256:e969e8938e775e7a3d608e3676337528e58154649baf8bf05fd8bd48ad257cd3

Observation 4b029de7-a7bf-44ce-b551-f1c7716c91e2 · inbound

Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole cites this paper.

Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 5

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verified exact
local_arxiv, observed 2026-05-18T22:21:53.588650Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-18T22:17:25.664982Z digest=sha256:e122acc5f30e2a9a262bbdc91eacdde025c3374d4191d11fc63cf6a28a43e3d3

Observation 0ece45bc-f65d-4eea-b392-dd91780146da · inbound

Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics cites this paper.

Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 41

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verified exact
local_arxiv, observed 2026-05-18T08:41:08.588894Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-18T08:38:49.707043Z digest=sha256:7a6e2a1387c7f3d5977d5abd99d090793eff1ee91f79c3553cc0279e404fb495

Observation 1f173522-3956-4dc0-a4d3-db412baf15c7 · inbound

Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics cites this paper.

Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 5

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verified exact
local_arxiv, observed 2026-05-21T17:54:18.894123Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T17:50:30.345363Z digest=sha256:568be40b28c858ffcfd94cd19754782a02ec15e9554595222f0245d0d7752c06

Observation 483b537d-3fed-4307-a2b9-b3888d444843 · inbound

$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity cites this paper.

$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 99

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verified exact
arxiv_id, observed 2026-05-11T22:51:17.378417Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-08T02:24:25.295486Z digest=sha256:2aa53674ef00e4c8aa9dfe156b7eb8ec33b40f450b61d0a3e9ab954a4b568a60

Observation ee7b1f40-51ba-4bde-afec-29d38bb7a442 · inbound

Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes cites this paper.

Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 35

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verified exact
local_arxiv, observed 2026-07-01T00:15:08.517420Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:72ed8c725142939e12678ac5723c092a6998c10ccc732afca886ef54e906bb48

Observation 04a99cdf-26b2-4a2f-b153-6ceacb9e3564 · inbound

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory cites this paper.

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 46

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verified exact
arxiv_id, observed 2026-05-12T00:41:25.218529Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-07T14:39:41.085706Z digest=sha256:cd1af6e2c83e56432ffcb09f3d5373335dee48bebfea0ce864a9334207c2b479

Observation a82652fe-79ca-437b-84e1-2ac957562e9f · inbound

Off-shell Hessian thermodynamic stability of higher-curvature black holes cites this paper.

Off-shell Hessian thermodynamic stability of higher-curvature black holes Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 100

Resolution
malformed identifier
local_arxiv, observed 2026-06-28T09:31:49.883338Z

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.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:26391de5d7d0e4265c831bb67f6a7178d5edc2cd4f39087a32713c824f4718b3

Observation 4eab5f9e-6f19-4261-9853-875d4c1ea1b8 · inbound

Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes cites this paper.

Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-02T09:16:49.067295Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T05:36:53.216067Z digest=sha256:34409dfeaf33d2b18ba9ef6974d0f81d40e5f54cf0cd3bce039c4edde99bbee6

Observation 48a69b61-f645-4d56-8629-436d3a544e2c · inbound

Dynamical Completion of Coupling-Charge Thermodynamics cites this paper.

Dynamical Completion of Coupling-Charge Thermodynamics Smarr Formula and an Extended First Law for Lovelock Gravity

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-01T12:15:44.089721Z

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.

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