Pith. sign in

Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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=sha256:30830dccb38481c14364e91ac4e80f526d4f15fd70e4ca33c9123b7eaaf2ce51

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=sha256:0a73b44224bbe3506dce2c5af712e45e175ff1b3c91dd22c5c5e1d9828656b1a

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:d76558d2014daa7682ca28677d1acfb549e90a1615bb527ac4ea7d8a35290cae

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=sha256:02d42c971323b19481dacf917b5f480b62a57d73d3730d2413572f3c88aac2c9

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:d151dcc5c0915fd290ed353be4f871c0de61ab57ff2ab439e0710229a94f75ef

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:23.071923Z digest=sha256:0e3df39ff3805d6feb949b983291904362b025ad3797ff5c67f7821f009bcdbe

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:d790a5d8128ce9532cf22990188b06387cbd9ead1c5cd002348fd1cd864779f9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:23.262641Z digest=sha256:531a0e69efcb25da1d61f4f77e77224dddf099c759ae743c171b5281537883b7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:23.385619Z digest=sha256:affd818d4cbc4bb1ab27d0fbcc7588789bfb8fa373db116d2e2e199495df0bb3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:23.462016Z digest=sha256:ce3b62256d2bb0fb23255001bbd48d2a588ea8308e55c74485e406a735ffd79a

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=sha256:11c12c4f19b09e9e26028d5438a204406115f5ce524e082c9270d118049bf5c4

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=sha256:12ad56ff078f63fd7e8e53f4d9be153ab8d7596fa576d296cb1e4934f659bade

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=sha256:32a53cbc96f715cf496185c6610a30a94ccae7380f227959de8ea3ad8d4cdcd1

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=sha256:24a13c2fc769581dc1849707211452a3f2d176a167162e3956fe90f003a97842

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.014083Z digest=sha256:6d7288a28e1a9b97979bbd37414b3c3b50117f6c13fd8f45757627f6e56d299a

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:e40a72704e3a6d2aa9bca89142df99605e51fc8d37df0d995b453a8969ae616e

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:b12f08cc54238c0df40fbf33ca5f3e1d6e33c0d958f53246948a1f3345af3e1c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.300087Z digest=sha256:b1af2287c686d0c0181aa154d3e63d26103cbff319c6705cf6be4a4b7593fefe

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:aeac68463245acd94825a6d5957ccf3d4f58045a83cc03b731ad553a4cfb54c3

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:b65136203c95e470c39c6dd70f5ac9c86293f3a855c5fa1eebd8cb475d31ed75

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.547762Z digest=sha256:bbee962d85ccd4f3336da6869868dbb943531889dca8d0ea30894b4a4256f9f9

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:babf69d0a6b1c34d0414ac1d0df1bd738154f836325413f2bc9f05040c002a20

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.794344Z digest=sha256:8bf5635f15e20a2f085bef870195abe08458ef0e008f97fc7fc5a93ecca6f233

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.870243Z digest=sha256:7a5acdf72a937d744b933b3bf192fff011f21350f38c2b3b65d1017f7d9de173

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:24.964295Z digest=sha256:eea5cd8635fc93b2c65fe1b147813afcd3dc799475830da0265dca74f2095300

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=sha256:5aac94e30bc319d7024f40657c744c21797180a9e06ea52a3f27f044dbff7e04

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:03:25.101309Z digest=sha256:4908a5a5b1b66fbb5f8abac2d8293b8d73765c3d37dae2f168f9c00d7b603380

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=sha256:2fe70496f4b0320b332bc7fa2c4e57630ac483d6773dbaa7b3ca188fecbc066c