Pith. sign in

Paper Citation Record · LEDGER

On the third law of black hole mechanics for supersymmetric black holes

As of 7 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.06870.

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

pith.paper-citation-record.v1
2507.06870 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:03:25.101309Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:23:50.326192Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact10
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b730d208-d741-47f1-9878-9510df15f4b6 · outbound

This paper cites The Four laws of black hole mechanics,.

On the third law of black hole mechanics for supersymmetric black holes The Four laws of black hole mechanics,

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:22.604753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:22.604753Z digest=sha256:5bff3048ae7a49622a48e45d998a3e10bbaf7e6e2fadabcbd6693013435040d2

Observation 179622b9-a148-4f56-9641-1473771e21c2 · outbound

This paper cites Third Law of Black-Hole Dynamics: A Formulation and Proof,.

On the third law of black hole mechanics for supersymmetric black holes Third Law of Black-Hole Dynamics: A Formulation and Proof,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:22.653530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:22.653530Z digest=sha256:3c5c175e9c12fb105f51d081edcf72313f204f5a60d62b02b92f568b56a6fb09

Observation 4da79d76-a190-4e30-bd75-fb47098538dc · outbound

This paper cites Gravitational collapse to extremal black holes and the third law of black hole thermodynamics.

On the third law of black hole mechanics for supersymmetric black holes Gravitational collapse to extremal black holes and the third law of black hole thermodynamics

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:22.774489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:22.774489Z digest=sha256:6017cfd1eb711cfff16d1fe77dcf4327fd4f8f361615da159ae0badc95b49404

Observation bae68d31-4f41-4ba8-abd5-08de5f394f92 · outbound

This paper cites Extremal black hole formation as a critical phenomenon.

On the third law of black hole mechanics for supersymmetric black holes Extremal black hole formation as a critical phenomenon

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:22.882168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:22.882168Z digest=sha256:0198dde9890eeb6f007f6c1cf2fb7478367ff31a23f429d0842bdebfe6685a75

Observation ce053d15-6b99-4ca2-b149-4b98a40def05 · outbound

This paper cites A Bogomolny Bound for General Relativity and Solitons in N=2 Supergravity,.

On the third law of black hole mechanics for supersymmetric black holes A Bogomolny Bound for General Relativity and Solitons in N=2 Supergravity,

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.004187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.004187Z digest=sha256:9fa6ccde8459a27afa5cede355813e72e26dd836e5622df56b8e6bb570e10312

Observation a8998acf-9498-4b4e-a18e-4a3ad178a83e · outbound

This paper cites Positive Mass Theorems for Black Holes,.

On the third law of black hole mechanics for supersymmetric black holes Positive Mass Theorems for Black Holes,

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T19:03:26.138003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:23.071923Z digest=sha256:2f0e6fbe6afd8b4cab892da1d3982e390572dc3e6316fafb73861698caa66d15

Observation f1df68a3-042c-41de-85bd-7b1a3c0a7b6a · outbound

This paper cites A third law of black hole mechanics for supersymmetric black holes and a quasi-local mass-charge inequality.

On the third law of black hole mechanics for supersymmetric black holes A third law of black hole mechanics for supersymmetric black holes and a quasi-local mass-charge inequality

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.192544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.192544Z digest=sha256:dc5ed9f3f4502111fc0a1ed8c3cc6a32499fd3423ae6bebc50aac6d22eda45ba

Observation a4960164-26f3-4f0a-9e6d-cd1c84c6e3ef · outbound

This paper cites Quasilocal mass constructions with positive energy,.

On the third law of black hole mechanics for supersymmetric black holes Quasilocal mass constructions with positive energy,

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T19:03:25.866604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:23.262641Z digest=sha256:736258aba4140914e12f4a247317af21bb7497473f7a1b7996070a85f5ab6996

Observation bbaeecb4-3dae-4f7e-ae9d-6a86863efc90 · outbound

This paper cites Spinorial quasilocal mass for spacetimes with negative cosmological constant.

On the third law of black hole mechanics for supersymmetric black holes Spinorial quasilocal mass for spacetimes with negative cosmological constant

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:03:28.353720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:23.385619Z digest=sha256:105250c443807cbcb95c3bca146130e934a61cd06f8d131ed5fdb0e40a0aeaa8

Observation 118749ed-f53b-4500-b8d8-9ab1d5a01c53 · outbound

This paper cites A New gravitational energy expression with a simple positivity proof,.

On the third law of black hole mechanics for supersymmetric black holes A New gravitational energy expression with a simple positivity proof,

Reference 10

Resolution
verified exact
doi, observed 2026-08-06T19:03:25.660310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:23.462016Z digest=sha256:bdee824eb678b24ee2d73746f4bfb9f02f65f2626bf1ad63354e6377997cf124

Observation 32ef4d36-4b6d-4989-ae2f-79cc1b49fb07 · outbound

This paper cites Solitonic Black Holes in Gauged N=2 Supergravity.

On the third law of black hole mechanics for supersymmetric black holes Solitonic Black Holes in Gauged N=2 Supergravity

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.577740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.577740Z digest=sha256:50f3feca017685131a1fbfff246b0223d6e594572be188bbca11ccd1d011e24c

Observation b37b3daa-e763-4cc4-938e-a42bfb7fd951 · outbound

This paper cites Supersymmetry of Anti-de Sitter Black Holes.

On the third law of black hole mechanics for supersymmetric black holes Supersymmetry of Anti-de Sitter Black Holes

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.671412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.671412Z digest=sha256:6a62cf7d8565f3637e5ef17f770a989a9c10d6c5df2b9167e203af00ed90c6f0

Observation c2c47e7c-6356-4a0c-b110-6dbcc1a54e05 · outbound

This paper cites Spinors and space-time,.

On the third law of black hole mechanics for supersymmetric black holes Spinors and space-time,

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.793204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.793204Z digest=sha256:e3627c749d2aa77f4d718bc75b3097e412c3d76dce3d30836729046fd0588829

Observation 2025d680-05e1-4630-bdf1-54cfe287d077 · outbound

This paper cites A space-time calculus based on pairs of null directions,.

On the third law of black hole mechanics for supersymmetric black holes A space-time calculus based on pairs of null directions,

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:23.893874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:23.893874Z digest=sha256:e871be005f5b807e3dd6f26a8195e09ca390149c99a67db93d8eba5a9ece5a20

Observation b7187b0d-7cf6-4cb8-b877-0b49e51d6cb4 · outbound

This paper cites Gauge internal symmetry in extended supergravity,.

On the third law of black hole mechanics for supersymmetric black holes Gauge internal symmetry in extended supergravity,

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T19:03:25.324200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.014083Z digest=sha256:700e34d82df7086ae8294794d8f8e046005ecf3d568bd1657932a158586bb128

Observation b1baab37-b469-482e-be28-2403804db3e2 · outbound

This paper cites Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory.

On the third law of black hole mechanics for supersymmetric black holes Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:24.127398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:24.127398Z digest=sha256:9533fa8011380ead1afd9993b9243b4b0357d0dbfe2f9aeb8cb08baf01ce953b

Observation 2430e579-a9dc-48c6-a510-e2254c4e5b30 · outbound

This paper cites All Metrics Admitting Supercovariantly Constant Spinors,.

On the third law of black hole mechanics for supersymmetric black holes All Metrics Admitting Supercovariantly Constant Spinors,

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:24.202485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:24.202485Z digest=sha256:c3ef1177a258132e994f85eeda9b31f9f81097601bee4d9ada69cd9a70f6049e

Observation 02f44139-73ae-41d0-8dbf-e2df1da9969c · outbound

This paper cites Positivity of Energy in Einstein-Maxwell Axion-dilaton gravity.

On the third law of black hole mechanics for supersymmetric black holes Positivity of Energy in Einstein-Maxwell Axion-dilaton gravity

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:03:28.098177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.300087Z digest=sha256:3bc537aff561b8b407ccd089884ee3b26202d9dfdcba57ed63d2f535bc56ea52

Observation 9aa1b5e2-4873-4242-ad2d-fcf25941399c · outbound

This paper cites A Simple Proof of the Positive Energy Theorem,.

On the third law of black hole mechanics for supersymmetric black holes A Simple Proof of the Positive Energy Theorem,

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:24.352416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:24.352416Z digest=sha256:36c4f5558819a80e47978c341e712350b4e4da002eb559f28c664fef3c19bba4

Observation 2864c077-5fde-4aee-8eeb-d01b7ce8c4fe · outbound

This paper cites All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity.

On the third law of black hole mechanics for supersymmetric black holes All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:24.451931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:24.451931Z digest=sha256:f8002755198ebcf60559be8f72903cdb1eda56c5be0fa8887fa28e379d03d25b

Observation a6ede3b2-5fdb-4a9a-8913-502d77b614bc · outbound

This paper cites Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem.

On the third law of black hole mechanics for supersymmetric black holes Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:03:27.783388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.547762Z digest=sha256:cc47deec2b225d1319b4feaee6c893eea6b87010fda70778790c8bdc7bac9187

Observation 2e357b79-0178-414f-b7e0-112d7c963abb · outbound

This paper cites On Israel-Wilson-Perjes black holes.

On the third law of black hole mechanics for supersymmetric black holes On Israel-Wilson-Perjes black holes

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:24.673405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:24.673405Z digest=sha256:32507634db48248144e937bedc9c3185787284d10b8987a744752cf6f9c08845

Observation b3639696-1164-4758-a418-a54b29746fba · outbound

This paper cites Supersymmetric Godel-type Universe in four Dimensions.

On the third law of black hole mechanics for supersymmetric black holes Supersymmetric Godel-type Universe in four Dimensions

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:03:27.485410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.794344Z digest=sha256:a006d128b49557a1bbc887c8f8dd55a840cf5a7ca62d970e935eb1fee4958b46

Observation e9edb2fc-7558-4481-b481-07fe8bfd8a5a · outbound

This paper cites Boundary value problems for Dirac--type equations, with applications.

On the third law of black hole mechanics for supersymmetric black holes Boundary value problems for Dirac--type equations, with applications

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:03:27.228290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.870243Z digest=sha256:1f132b798b98887574aed57ffe1b02226e085c46a7c1a864622e940c3f226c39

Observation f6fea491-8887-412b-8c6f-397ee5bbf1cd · outbound

This paper cites Event horizon gluing and black hole formation in vacuum: The very slowly rotating case,.

On the third law of black hole mechanics for supersymmetric black holes Event horizon gluing and black hole formation in vacuum: The very slowly rotating case,

Reference 25

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:03:26.943745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:24.964295Z digest=sha256:be23ccd6f5237489a100d318a69fe75e3039e914cb2b416895d2d8e2d50bb395

Observation b8943035-12a6-45f8-9ff4-67d41124972a · outbound

This paper cites What happens at the horizon(s) of an extreme black hole?.

On the third law of black hole mechanics for supersymmetric black holes What happens at the horizon(s) of an extreme black hole?

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-06T19:03:25.048582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:03:25.048582Z digest=sha256:4adcf37c819eca6e7ab78bba92afd3ffcea621d67874ac0fd45283db9ba7bec6

Observation bf1f5b6b-efd6-4ab1-9c0b-1d23fdc94a3f · outbound

This paper cites Nonlinear stability of extremal Reissner-Nordstr¨ om black holes in spherical symmetry,.

On the third law of black hole mechanics for supersymmetric black holes Nonlinear stability of extremal Reissner-Nordstr¨ om black holes in spherical symmetry,

Reference 27

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:03:26.616856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:03:25.101309Z digest=sha256:98bd780e40257f8fcea8948d00f5040bab958ce5ea85118f1beb654de6507539

Pith citing papers

Observation 3d38a738-3bb7-4878-beeb-2f2bda8c373c · inbound

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics cites this paper.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics On the third law of black hole mechanics for supersymmetric black holes

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T17:23:50.326192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:23:50.326192Z digest=sha256:7b4d117bffb212f49af01c7bd05a82334b40d914fcca13d3e8d565c20b61127a