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Paper Citation Record · LEDGER

Multicentered black hole saddles for supersymmetric indices

As of 7 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 7 inbound Pith citation observations for arXiv:2507.07166.

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

pith.paper-citation-record.v1
2507.07166 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:54:35.480818Z

measured 74 of 74 standing notices

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

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T02:32:08.252308Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:39:57.888235Z

Reference resolution

67 of 67 outbound references displayed

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  • verified fuzzy8
  • unresolved53
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External citation measurements

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Outbound references

Observation 085e827a-6959-4c4e-9d66-b71e4fbc0174 · outbound

This paper cites Microscopic Origin of the Bekenstein-Hawking Entropy.

Multicentered black hole saddles for supersymmetric indices Microscopic Origin of the Bekenstein-Hawking Entropy

Reference 1

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source=pdf_text observed=2026-08-06T18:54:26.551249Z digest=sha256:c52aa0a3228237b913cf59ec4e140851f6a35f708e7fed205071e5139a2b0442

Observation 8bcf8205-3ae7-4a6e-95d7-be4ed5a8e133 · outbound

This paper cites Action Integrals and Partition Functions in Quantum Gravity,.

Multicentered black hole saddles for supersymmetric indices Action Integrals and Partition Functions in Quantum Gravity,

Reference 2

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

source=pdf_text observed=2026-08-06T18:54:26.631349Z digest=sha256:a805b0d9bcc93f5e611c69f5c5e643893f2221b231ef8c4211345a1b52501251

Observation 6c5bc83b-fa5a-4f3b-b09f-97946e360adf · outbound

This paper cites Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes.

Multicentered black hole saddles for supersymmetric indices Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes

Reference 3

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source=pdf_text observed=2026-08-06T18:54:26.808310Z digest=sha256:da01f5508af3355662b70b5c2036aa29fe3c4c45568ed45b5ddc999b26ca4bd0

Observation 0704decc-8562-4877-81a0-b59c812754ac · outbound

This paper cites The BPS limit of rotating AdS black hole thermodynamics.

Multicentered black hole saddles for supersymmetric indices The BPS limit of rotating AdS black hole thermodynamics

Reference 4

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source=pdf_text observed=2026-08-06T18:54:26.959841Z digest=sha256:463a611db17c2d706334bf8eb72624246b7e5bb76a5258325f53629fabb8998b

Observation 1c2c79df-b700-47b4-aba7-273fc46d56ab · outbound

This paper cites Universal Spinning Black Holes and Theories of Class $\mathcal R$.

Multicentered black hole saddles for supersymmetric indices Universal Spinning Black Holes and Theories of Class $\mathcal R$

Reference 5

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source=pdf_text observed=2026-08-06T18:54:27.087385Z digest=sha256:80cb9a1984d711572fa80fa301481f5e7a76e30edb28166f5b5e568123966b5b

Observation 5d2607a3-b79f-412e-be5e-ea1ab03b4e18 · outbound

This paper cites Euclidean Black Saddles and AdS$_4$ Black Holes.

Multicentered black hole saddles for supersymmetric indices Euclidean Black Saddles and AdS$_4$ Black Holes

Reference 6

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no resolver link, observed 2026-08-06T18:54:27.194220Z

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source=pdf_text observed=2026-08-06T18:54:27.194220Z digest=sha256:9a5eef50a47e62f7508efa38ea20107348e75dffed0d4558547d8dc0b73e67fb

Observation 71aa2b14-f1a3-49f7-9059-78062498a769 · outbound

This paper cites Microscopic Entropy of AdS$_3$ Black Holes Revisited.

Multicentered black hole saddles for supersymmetric indices Microscopic Entropy of AdS$_3$ Black Holes Revisited

Reference 7

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source=pdf_text observed=2026-08-06T18:54:27.348975Z digest=sha256:508d924805ac29a77a5ed46186da279e9410604cdb43e91acb766ff3929f0de5

Observation c0ddb4f4-89d3-4d8d-9e53-b5d477e08906 · outbound

This paper cites 4d N=2 supergravity observables from Nekrasov-like partition functions.

Multicentered black hole saddles for supersymmetric indices 4d N=2 supergravity observables from Nekrasov-like partition functions

Reference 8

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source=pdf_text observed=2026-08-06T18:54:27.511796Z digest=sha256:d3f611948734ca72361e4cfe8eae670a1e1b25921cabd0bff53d9f461c5f7e12

Observation b4ad3a16-d32c-4630-9c2c-a151b86cf34f · outbound

This paper cites The dark (BPS) side of thermodynamics in Minkowski$_4$.

Multicentered black hole saddles for supersymmetric indices The dark (BPS) side of thermodynamics in Minkowski$_4$

Reference 9

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local_arxiv, observed 2026-08-06T18:54:37.523802Z

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

source=pdf_text observed=2026-08-06T18:54:27.674759Z digest=sha256:ae0eb92520fb44da11d15d5ae60ce565eb4dcb36de8ce2f7e6794aecb450d124

Observation 73f89f33-ca4b-43e5-88d2-f4082c736862 · outbound

This paper cites Supersymmetric phases of AdS$_4$/CFT$_3$.

Multicentered black hole saddles for supersymmetric indices Supersymmetric phases of AdS$_4$/CFT$_3$

Reference 10

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source=pdf_text observed=2026-08-06T18:54:27.773182Z digest=sha256:37c4dd8ce8fa078988794257fa7e9057238d0df50d91f61eee172d14245b9a82

Observation 06298f4e-df57-43b0-9d40-9a76cc501e90 · outbound

This paper cites Supersymmetric indices factorize.

Multicentered black hole saddles for supersymmetric indices Supersymmetric indices factorize

Reference 11

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source=pdf_text observed=2026-08-06T18:54:27.931330Z digest=sha256:c3d89d85053d1603ed219e650564b871b8b17fc471bc1959c93a32078e7b7d19

Observation 9f070302-3c38-4988-a029-ac8b8354ad70 · outbound

This paper cites Logarithmic Correction to BPS Black Hole Entropy from Supersymmetric Index at Finite Temperature.

Multicentered black hole saddles for supersymmetric indices Logarithmic Correction to BPS Black Hole Entropy from Supersymmetric Index at Finite Temperature

Reference 12

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no resolver link, observed 2026-08-06T18:54:28.085797Z

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source=pdf_text observed=2026-08-06T18:54:28.085797Z digest=sha256:d5beaa3b84f8fc176e2327837da51fa26ef272cc5ce3ae17c87fdbd3ca771e44

Observation e36389cf-c274-439f-ba3d-ce31feab4851 · outbound

This paper cites Revisiting Logarithmic Correction to Five Dimensional BPS Black Hole Entropy,.

Multicentered black hole saddles for supersymmetric indices Revisiting Logarithmic Correction to Five Dimensional BPS Black Hole Entropy,

Reference 13

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no resolver link, observed 2026-08-06T18:54:28.268480Z

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source=pdf_text observed=2026-08-06T18:54:28.268480Z digest=sha256:a58d3da60343fd3ea868a31ce84c4e7e89c4fa5fa1161790316c0bd9eeaf1975

Observation bfeeed64-9465-4ce4-87f6-1510e208a9f4 · outbound

This paper cites New forms of attraction: Attractor saddles for the black hole index.

Multicentered black hole saddles for supersymmetric indices New forms of attraction: Attractor saddles for the black hole index

Reference 14

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source=pdf_text observed=2026-08-06T18:54:28.434799Z digest=sha256:43845311391e52a7273a4de1cc910f7bc1e1c7deaa357f6513c7e362f624ea35

Observation 074bb178-1c9b-449f-8305-ad93b80d4b83 · outbound

This paper cites Killing Spinors for Finite Temperature Euclidean Solutions at the BPS Bound.

Multicentered black hole saddles for supersymmetric indices Killing Spinors for Finite Temperature Euclidean Solutions at the BPS Bound

Reference 15

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verified exact
local_arxiv, observed 2026-08-06T18:54:37.192921Z

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

source=pdf_text observed=2026-08-06T18:54:28.569768Z digest=sha256:a61f88ce6a433154cc171df202ee413cb04e2b3ab9423356a29ff0a9b872c1d8

Observation 05305502-1818-4574-b55e-0ea83091200a · outbound

This paper cites Supersymmetric Index for Small Black Holes.

Multicentered black hole saddles for supersymmetric indices Supersymmetric Index for Small Black Holes

Reference 16

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source=pdf_text observed=2026-08-06T18:54:28.732006Z digest=sha256:71d6914384cca70b50fcbb97b694aaedd58845ccecc7b415e93b17d1ae4d5834

Observation 3c7eb6e3-02c3-4bbd-83b5-10c230c56675 · outbound

This paper cites Gravitational index of the heterotic string.

Multicentered black hole saddles for supersymmetric indices Gravitational index of the heterotic string

Reference 17

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source=pdf_text observed=2026-08-06T18:54:28.838800Z digest=sha256:2fd566124f96f9e232b816798486b1211c2d50b8af05d7087ff7f39d0f5865fa

Observation 4011bec9-d754-4ebb-9ae8-d29be0c8b595 · outbound

This paper cites Localization of the 5D supergravity action and Euclidean saddles for the black hole index.

Multicentered black hole saddles for supersymmetric indices Localization of the 5D supergravity action and Euclidean saddles for the black hole index

Reference 18

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no resolver link, observed 2026-08-06T18:54:28.993497Z

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source=pdf_text observed=2026-08-06T18:54:28.993497Z digest=sha256:44d8240fae9a4f806cb98bb6bb63b93c3027100f304c540341a1ff96d281c5fd

Observation 740bd495-6a98-4b43-8181-33da0dd6e05d · outbound

This paper cites Supersymmetric Index for Half BPS Black Holes in N=2 Supergravity with Higher Curvature Corrections.

Multicentered black hole saddles for supersymmetric indices Supersymmetric Index for Half BPS Black Holes in N=2 Supergravity with Higher Curvature Corrections

Reference 19

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source=pdf_text observed=2026-08-06T18:54:29.116156Z digest=sha256:b0699732c63dea4766a2869d7cc7dff88992d47782fad0a5a76ab9480002a5ee

Observation 919f4e92-a969-4fbc-b32d-ac62fa48aa94 · outbound

This paper cites Attractor saddle for 5D black hole index.

Multicentered black hole saddles for supersymmetric indices Attractor saddle for 5D black hole index

Reference 20

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no resolver link, observed 2026-08-06T18:54:29.251540Z

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source=pdf_text observed=2026-08-06T18:54:29.251540Z digest=sha256:8aa94a20bbc5741b89134c203654865f2500b358459f0bdb37ffb1fafd6bc74e

Observation f8133428-2ab7-449e-bd2c-a99774959937 · outbound

This paper cites Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes.

Multicentered black hole saddles for supersymmetric indices Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

Reference 21

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source=pdf_text observed=2026-08-06T18:54:29.374673Z digest=sha256:fb473d1517ee6388ec6e95fb98eca235ab2d81c60ed9f7fda1c4e53bcbfe469a

Observation 419e38c0-833b-4eea-8f52-716f9c19a6cd · outbound

This paper cites The gravitational index of 5d black holes and black strings.

Multicentered black hole saddles for supersymmetric indices The gravitational index of 5d black holes and black strings

Reference 22

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source=pdf_text observed=2026-08-06T18:54:29.531699Z digest=sha256:a491630c059889fc0c0c47df48516644a5bcce62ed65bc45d5b1d9f92adaede2

Observation 58f2660d-2949-4af0-ab74-e284305dd4d9 · outbound

This paper cites Quantum black holes: supersymmetry and exact results.

Multicentered black hole saddles for supersymmetric indices Quantum black holes: supersymmetry and exact results

Reference 23

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source=pdf_text observed=2026-08-06T18:54:29.640681Z digest=sha256:0f9892d1582c89a925f2aab0e13b15a87c8af80c9b5b7e3dbf066d53f30fe2e5

Observation 3e05c713-201c-475f-99f3-1df8ca625a3c · outbound

This paper cites The gravitational index and allowable complex metrics,.

Multicentered black hole saddles for supersymmetric indices The gravitational index and allowable complex metrics,

Reference 24

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source=pdf_text observed=2026-08-06T18:54:29.789979Z digest=sha256:10c42e2fb0d90783b5f33aee4087160d4c9515b806bc75a55fd22f5c1afe5161

Observation f4038786-04ca-40a6-a537-4fc5d9c07e53 · outbound

This paper cites The gravitational index of a small black ring.

Multicentered black hole saddles for supersymmetric indices The gravitational index of a small black ring

Reference 25

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no resolver link, observed 2026-08-06T18:54:29.917929Z

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source=pdf_text observed=2026-08-06T18:54:29.917929Z digest=sha256:c6620b895dffd376a8a5773a0a104bc537dca7af7d1ce0955a12a7aa291ba3ad

Observation 82987cb6-b59e-4f5e-a107-0fbb8e97a96a · outbound

This paper cites Quantum Entropy Function from AdS(2)/CFT(1) Correspondence.

Multicentered black hole saddles for supersymmetric indices Quantum Entropy Function from AdS(2)/CFT(1) Correspondence

Reference 26

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no resolver link, observed 2026-08-06T18:54:30.033410Z

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source=pdf_text observed=2026-08-06T18:54:30.033410Z digest=sha256:8e0321227115ba9aef527e1d82de2dbd22257ce41e34283d8c31cf9618605d73

Observation 8ccf0410-208e-408c-af80-1a763c5c5ad3 · outbound

This paper cites Supersymmetric Index from Black Hole Entropy.

Multicentered black hole saddles for supersymmetric indices Supersymmetric Index from Black Hole Entropy

Reference 27

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no resolver link, observed 2026-08-06T18:54:30.112699Z

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source=pdf_text observed=2026-08-06T18:54:30.112699Z digest=sha256:ac6a2c4c0f17738e8b99cc3b2b3eb9282dcfdc58ec2737d9c9674ac040c23c05

Observation a872972b-0f78-4248-a44d-1dae10a36901 · outbound

This paper cites Quantum black holes, localization and the topological string.

Multicentered black hole saddles for supersymmetric indices Quantum black holes, localization and the topological string

Reference 28

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no resolver link, observed 2026-08-06T18:54:30.308066Z

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source=pdf_text observed=2026-08-06T18:54:30.308066Z digest=sha256:384641897462801ef182cc38daa0247a690768d10842ce3fa629d143753df452

Observation 266a0fb0-3acf-4aa7-9a67-cb7f52993d82 · outbound

This paper cites Black hole microstate counting from the gravitational path integral.

Multicentered black hole saddles for supersymmetric indices Black hole microstate counting from the gravitational path integral

Reference 29

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no resolver link, observed 2026-08-06T18:54:30.411711Z

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source=pdf_text observed=2026-08-06T18:54:30.411711Z digest=sha256:1d78a5c6e266ed9fae9db9ef5c75cf6c7ccf5cbcce6f8bbe20435a6ba169881a

Observation 72aa398b-e820-4661-b03a-37b9d724bb69 · outbound

This paper cites The gravitational path integral for $ N=4$ BPS black holes from black hole microstate counting.

Multicentered black hole saddles for supersymmetric indices The gravitational path integral for $ N=4$ BPS black holes from black hole microstate counting

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:54:36.751371Z

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=2026-08-06T18:54:30.546102Z digest=sha256:0b6e957ea0e6a957d8132866b95adeb9c167ee712d98c0c717b8b8d0b17265f2

Observation 82334aac-7cbd-4405-8702-3a98c84e0904 · outbound

This paper cites Counting BPS Blackholes in Toroidal Type II String Theory.

Multicentered black hole saddles for supersymmetric indices Counting BPS Blackholes in Toroidal Type II String Theory

Reference 31

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no resolver link, observed 2026-08-06T18:54:30.668385Z

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source=pdf_text observed=2026-08-06T18:54:30.668385Z digest=sha256:8e34c521839518d5e8392c45b0d7865cb1a02ec228ca4bc0132d4867c6059d3d

Observation 9149e9c7-fb29-4666-8ba8-f12bfd7512fc · outbound

This paper cites New Connections Between 4D and 5D Black Holes.

Multicentered black hole saddles for supersymmetric indices New Connections Between 4D and 5D Black Holes

Reference 32

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source=pdf_text observed=2026-08-06T18:54:30.842618Z digest=sha256:87eacaa3084c4422496ac456503d3d8c0e49617e1c8e798012e598be999964ee

Observation 56248d63-b846-4848-99db-91b7f038f46c · outbound

This paper cites BPS Black Hole Degeneracies and Minimal Automorphic Representations.

Multicentered black hole saddles for supersymmetric indices BPS Black Hole Degeneracies and Minimal Automorphic Representations

Reference 33

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source=pdf_text observed=2026-08-06T18:54:30.989794Z digest=sha256:016c5646d9d4a72051706fc030d8e255de43ea191273dee549fad0b9599b9208

Observation 49e64a38-142d-42f7-81ef-b05af6528388 · outbound

This paper cites Counting Dyons in N=8 String Theory.

Multicentered black hole saddles for supersymmetric indices Counting Dyons in N=8 String Theory

Reference 34

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no resolver link, observed 2026-08-06T18:54:31.114498Z

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source=pdf_text observed=2026-08-06T18:54:31.114498Z digest=sha256:77374a0c54c105b25cd1ee225b9267d6b71c8a534dbac3e15c229bbf0ee1df65

Observation 9fe86a0e-8079-436f-855a-1df23f3d1f97 · outbound

This paper cites CHL Dyons and Statistical Entropy Function from D1-D5 System.

Multicentered black hole saddles for supersymmetric indices CHL Dyons and Statistical Entropy Function from D1-D5 System

Reference 35

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source=pdf_text observed=2026-08-06T18:54:31.230147Z digest=sha256:1924e07c95e48bdb654a56b32aa25ad4bb8fabaa7de2b60d716e10ef1fefbc4f

Observation f3862a4c-d0b4-4080-aa56-95240a0915c4 · outbound

This paper cites Supergravity flows and D-brane stability.

Multicentered black hole saddles for supersymmetric indices Supergravity flows and D-brane stability

Reference 36

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no resolver link, observed 2026-08-06T18:54:31.346648Z

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source=pdf_text observed=2026-08-06T18:54:31.346648Z digest=sha256:01be74756bbdaf3159fd06f1b2d7f2ca8f984a61e48093c7f551f8cb2d90ef59

Observation 18755037-53ca-4f8b-b48f-4d4db5204921 · outbound

This paper cites Exact solutions for supersymmetric stationary black hole composites.

Multicentered black hole saddles for supersymmetric indices Exact solutions for supersymmetric stationary black hole composites

Reference 37

Resolution
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no resolver link, observed 2026-08-06T18:54:31.476465Z

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source=pdf_text observed=2026-08-06T18:54:31.476465Z digest=sha256:ea1c3649e5388f7c8489cc64be31a61f37e85c59471f73d3e98087809e588590

Observation abf8df85-735e-48dd-b5f8-784fa79cd3f7 · outbound

This paper cites Split States, Entropy Enigmas, Holes and Halos.

Multicentered black hole saddles for supersymmetric indices Split States, Entropy Enigmas, Holes and Halos

Reference 38

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:31.583156Z digest=sha256:2686e2e926b17f97fc8c4d8e9c68ca554bd37820a769a2a8b878a06014c31182

Observation 05168c3f-0194-458b-ab9c-c662efbe5503 · outbound

This paper cites Wall-Crossing from Boltzmann Black Hole Halos.

Multicentered black hole saddles for supersymmetric indices Wall-Crossing from Boltzmann Black Hole Halos

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:31.697317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:31.697317Z digest=sha256:15717152c711eca1994aa6017275f8892809232a1e468e2c268f0705ad840dd7

Observation 17a2da92-9ee2-4558-b163-bfabcda652a6 · outbound

This paper cites Event horizons in static vacuum space-times,.

Multicentered black hole saddles for supersymmetric indices Event horizons in static vacuum space-times,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:39.844508Z

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=2026-08-06T18:54:31.801107Z digest=sha256:a376d82b1ac87298b5cdaae9737b952bd3c880c19c373c047c5b986d900dc256

Observation f604c3c2-a46e-439a-a60c-0b9a39c81732 · outbound

This paper cites Solutions of the Einstein-Maxwell equations with many black holes,.

Multicentered black hole saddles for supersymmetric indices Solutions of the Einstein-Maxwell equations with many black holes,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:39.606564Z

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=2026-08-06T18:54:31.922636Z digest=sha256:9756f1c0dd5bd1a63af7a659f16f7d912996a33190adde75aaf59c79bac694be

Observation 2767abe4-e640-44a4-a549-2e6e7ae02abb · outbound

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

Multicentered black hole saddles for supersymmetric indices On Israel-Wilson-Perjes black holes

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:54:36.385323Z

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=2026-08-06T18:54:32.038453Z digest=sha256:745471288791085940562d115d065606fe17280e339f31ff99d7e2bd9d45368b

Observation 0a885695-1fae-493e-b1af-948bfb0dda60 · outbound

This paper cites ISRAEL-WILSON METRICS,.

Multicentered black hole saddles for supersymmetric indices ISRAEL-WILSON METRICS,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:39.332323Z

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=2026-08-06T18:54:32.201261Z digest=sha256:1efc17737f6260bf894a8aa9040f899c20740e8bad0d031ecc11273af5a64336

Observation f747aa88-dfd1-40cc-830b-0e3a6af4859a · outbound

This paper cites Israel-wilson Metrics in the Euclidean Regime,.

Multicentered black hole saddles for supersymmetric indices Israel-wilson Metrics in the Euclidean Regime,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:39.057891Z

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=2026-08-06T18:54:32.358949Z digest=sha256:44eac91bfe05572259b4dfa07d4146adb6b1042ed3eab8bc923de3c762d5a041

Observation a1d62d8d-1968-48eb-bbfc-b2313c3187ff · outbound

This paper cites Einstein-Maxwell gravitational instantons and five dimensional solitonic strings.

Multicentered black hole saddles for supersymmetric indices Einstein-Maxwell gravitational instantons and five dimensional solitonic strings

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:32.469851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:32.469851Z digest=sha256:65d409ca854dacb005445271e8c87c4122e6e5911670e94ef916bb86b09236c6

Observation c64a5d01-22e8-4c62-8431-2ef77555a1d1 · outbound

This paper cites All Metrics Admitting Supercovariantly Constant Spinors,.

Multicentered black hole saddles for supersymmetric indices All Metrics Admitting Supercovariantly Constant Spinors,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:38.753619Z

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=2026-08-06T18:54:32.604206Z digest=sha256:c4c5c42f54ebdbaef72d42e5503c996b17013ef4fb9ca85f06ce09dde1e07709

Observation 14f169d1-223a-4d51-81f1-add8282f7ea4 · outbound

This paper cites Black Hole Entropy is Noether Charge.

Multicentered black hole saddles for supersymmetric indices Black Hole Entropy is Noether Charge

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:32.734388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:32.734388Z digest=sha256:300d8c681b5bba0f62612141a50083681bcf24e17e4ad8650766c6932900cd35

Observation 8096613a-e40b-4cfd-994f-c185c3486586 · outbound

This paper cites Duality between Electric and Magnetic Black Holes.

Multicentered black hole saddles for supersymmetric indices Duality between Electric and Magnetic Black Holes

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:32.901860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:32.901860Z digest=sha256:0b927320eebebe41cdb10745080d51792aff46ba7092fdd775392c4a1cff9411

Observation a002179e-1c95-4f43-b84b-16e64fa4ec7b · outbound

This paper cites an unresolved cited work.

Multicentered black hole saddles for supersymmetric indices Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:54:38.491897Z

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=2026-08-06T18:54:33.050143Z digest=sha256:9f9eb0095300709365288fe8ea5b42e65b2847ad3bd5d7cc059e7ffac7b2fb97

Observation c319e23d-0d45-4825-ace7-40efc0ee23dd · outbound

This paper cites Distance geometry — Wikipedia, The Free Encyclopedia,.

Multicentered black hole saddles for supersymmetric indices Distance geometry — Wikipedia, The Free Encyclopedia,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:38.222724Z

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=2026-08-06T18:54:33.198228Z digest=sha256:f5f52b7ea8c065a8e9ab5ca92a58b5bfaceb465a7e160cfec276d01cb1b46acf

Observation 3717e287-55aa-401a-a63a-c779dc8595ee · outbound

This paper cites Black Hole Entropy, Special Geometry and Strings.

Multicentered black hole saddles for supersymmetric indices Black Hole Entropy, Special Geometry and Strings

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:33.281952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:33.281952Z digest=sha256:ed4161910522696d3c050c70ebfb76455af3978b18a3164ff714e4284089e7e7

Observation abc7f79a-1ba7-4779-a426-885c0604aafd · outbound

This paper cites Calabi-Yau Black Holes.

Multicentered black hole saddles for supersymmetric indices Calabi-Yau Black Holes

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:54:36.126015Z

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=2026-08-06T18:54:33.482383Z digest=sha256:b2c5d2bcc504c7b8e9f336ba2f50f0a2b28341bad4d6d27e9dc9412ca15228b5

Observation d07d8f6e-91d4-40ee-8907-545695eddb91 · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

Multicentered black hole saddles for supersymmetric indices Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:33.615988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:33.615988Z digest=sha256:1c978ee32dd7b55874ba381e78b742e360dd733c55b8a14f84111db216e6ba8b

Observation b6723c79-41e4-4f65-81a6-8e6bd6f12203 · outbound

This paper cites Wall-crossing, Hitchin Systems, and the WKB Approximation.

Multicentered black hole saddles for supersymmetric indices Wall-crossing, Hitchin Systems, and the WKB Approximation

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:33.757287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:33.757287Z digest=sha256:c8f019ae9dd0a5f3305db470cbdf46558f4180220c56aaab0b2818f78c0455ef

Observation bbb285cb-eae6-4d0a-8c50-6c553df2c390 · outbound

This paper cites Framed BPS States.

Multicentered black hole saddles for supersymmetric indices Framed BPS States

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:33.912665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:33.912665Z digest=sha256:40aab4d03a5537d823cdbab1d3e5e9f6c9828fa1d97b5bb20069af4cdb3a9d9c

Observation 0fb2e6f6-b91c-46f3-83ed-5c0999464819 · outbound

This paper cites Four-dimensional wall-crossing via three-dimensional field theory.

Multicentered black hole saddles for supersymmetric indices Four-dimensional wall-crossing via three-dimensional field theory

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.033581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.033581Z digest=sha256:7d653c286b627ea7d655000b953251faea76fbe322eb31cc614da032f6786e7c

Observation c8d794df-bae1-4045-a682-23743d6cc079 · outbound

This paper cites Quantum Black Holes, Wall Crossing, and Mock Modular Forms.

Multicentered black hole saddles for supersymmetric indices Quantum Black Holes, Wall Crossing, and Mock Modular Forms

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.216156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.216156Z digest=sha256:5cca3e11426e0663449fc2080eefb7ab2ff721008f88798510d15f4e95abbb91

Observation db0be81b-f17e-4376-aa21-090c274c017e · outbound

This paper cites Witten Index and Wall Crossing.

Multicentered black hole saddles for supersymmetric indices Witten Index and Wall Crossing

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.365417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.365417Z digest=sha256:d770dbb971c60a707bcde76ca25cab876b9d8b17f586b26c03c3b0b42024a764

Observation 44c91cb2-f12b-4117-b222-2e0ff2ce5131 · outbound

This paper cites Quantum Quivers and Hall/Hole Halos.

Multicentered black hole saddles for supersymmetric indices Quantum Quivers and Hall/Hole Halos

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.482089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.482089Z digest=sha256:f32743fbea6c75c47efd7c2c6209d9c7b4a8f0c3df225639d2c445476ab43f4a

Observation 76035cd0-757e-46be-a9f0-0ed842f3ebd9 · outbound

This paper cites Quantizing N=2 Multicenter Solutions.

Multicentered black hole saddles for supersymmetric indices Quantizing N=2 Multicenter Solutions

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.598576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.598576Z digest=sha256:8e987be9bc33d63bd965d26f1512177e28d7000e0a58aab3135a0108fbad017e

Observation f836d81f-1f62-413e-901a-94a23926d0ab · outbound

This paper cites A fixed point formula for the index of multi-centered N=2 black holes.

Multicentered black hole saddles for supersymmetric indices A fixed point formula for the index of multi-centered N=2 black holes

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:34.766206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:34.766206Z digest=sha256:b4c3bf6bc128823683eb7709f529dfcba7cdeb142b625d6dc0f32f3699fc8678

Observation 5a116f5c-be0b-4eab-8a9d-d618398334d7 · outbound

This paper cites Corfu lectures on wall-crossing, multi-centered black holes, and quiver invariants.

Multicentered black hole saddles for supersymmetric indices Corfu lectures on wall-crossing, multi-centered black holes, and quiver invariants

Reference 62

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:54:35.800534Z

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=2026-08-06T18:54:34.931728Z digest=sha256:07fcb35c50ac9c63f262f63ec4f8fa9991ed3d28722bc933bda065fd5870a4ec

Observation 6ff730f3-3e2d-405b-aec1-6566ed50abae · outbound

This paper cites Wick rotation and the positivity of energy in quantum field theory.

Multicentered black hole saddles for supersymmetric indices Wick rotation and the positivity of energy in quantum field theory

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:35.063716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:35.063716Z digest=sha256:dbf4d2e73c1984d7c084812fd8060b42793e312cde64fe1a359deeb53de4696a

Observation ff888fd8-e2de-4dca-b81d-edbc41951277 · outbound

This paper cites A Note On Complex Spacetime Metrics.

Multicentered black hole saddles for supersymmetric indices A Note On Complex Spacetime Metrics

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:35.177338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:35.177338Z digest=sha256:19bb8120b6d1053dfeac4c2743a94ef2df8b351b82c6853986412169f86b3a87

Observation fc9fab48-773e-47d7-a6f3-992bf6718a9c · outbound

This paper cites Estimating global charge violating amplitudes from wormholes.

Multicentered black hole saddles for supersymmetric indices Estimating global charge violating amplitudes from wormholes

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:35.261163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:35.261163Z digest=sha256:e8b27f2696f013d4fae8978b58958318bf32f1099dcb271de3a3c9d9f58e14be

Observation 19ae59f1-4645-46fb-add7-853391aa950d · outbound

This paper cites Comments on the double cone wormhole.

Multicentered black hole saddles for supersymmetric indices Comments on the double cone wormhole

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T18:54:35.373930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:54:35.373930Z digest=sha256:9249871faf33a444ebf363d28b01586be2e342b2aed09180625baec3cf3c7bbc

Observation d2ab5aac-7c01-4591-8c5c-0eda354021fc · outbound

This paper cites To appear,.

Multicentered black hole saddles for supersymmetric indices To appear,

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:54:37.888652Z

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=2026-08-06T18:54:35.480818Z digest=sha256:94baa2dedd9f0ab948938768957b1e05b7b32fb3fc12896aef7b3519bdaabffa

Pith citing papers

Observation a30f553a-75b2-42eb-89a2-838bb1bf2134 · inbound

Non-supersymmetric F1-P black rings cites this paper.

Non-supersymmetric F1-P black rings Multicentered black hole saddles for supersymmetric indices

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-16T17:08:08.311274Z

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=2026-05-16T17:03:26.456605Z digest=sha256:c47052d54820516ea4d2c2617902ff6aa1ad6325571c5a700f2a7fc464e26d73

Observation 276b7e56-23c2-4682-9da8-22f7423b6087 · inbound

Index saddle for supersymmetric F1-P black ring cites this paper.

Index saddle for supersymmetric F1-P black ring Multicentered black hole saddles for supersymmetric indices

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T12:13:52.548836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:13:52.548836Z digest=sha256:7e67c702f2db36ff4af2fb895945f05b523ac7bd28ba6940c1e829e46824eec9

Observation 581fce34-6b6d-49c0-a71a-b2c9d3ef8b3d · inbound

Complex BPS Black Holes in AdS$_3\times S^3$ cites this paper.

Complex BPS Black Holes in AdS$_3\times S^3$ Multicentered black hole saddles for supersymmetric indices

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-29T11:13:20.922372Z

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=2026-06-29T11:10:03.677163Z digest=sha256:dfe61a345341a689a2802eb9c8a5162ad4670b94013681d446cd0623d54def40

Observation ec5baf0b-fb65-4e7b-8987-b9bd52ece02a · inbound

Index saddle for the D1-D5-P black string and its decoupling limit cites this paper.

Index saddle for the D1-D5-P black string and its decoupling limit Multicentered black hole saddles for supersymmetric indices

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T14:39:57.889739Z

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=2026-06-26T03:08:18.163181Z digest=sha256:3544e890277d8ba05c17c1fe7fdaba5aa5b04e68a5e8495c26770bd5aca10f72

Observation 4d90876b-fa33-42b0-802c-f36db2af95ac · inbound

Index saddle for the D1-D5-P black string and its decoupling limit cites this paper.

Index saddle for the D1-D5-P black string and its decoupling limit Multicentered black hole saddles for supersymmetric indices

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T02:32:08.252308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T02:32:08.252308Z digest=sha256:0887616a5ca75dfb62f7628ada22589fa3ff46c5e2feb30d83fc59eb28a7f6c7

Observation f6635a69-c62e-4e35-9677-e00f4952f40a · inbound

On conformal symmetry in large-$N$ quiver mechanics cites this paper.

On conformal symmetry in large-$N$ quiver mechanics Multicentered black hole saddles for supersymmetric indices

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-01T23:49:05.419826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:49:05.419826Z digest=sha256:a664e44a8aaabeffe3330d35042cfe60e16c6824ce8f3144955f14109273589f

Observation a7e22653-f323-43ce-8569-876b744ae5e1 · inbound

Gravitational index of the D1-D5-P black string cites this paper.

Gravitational index of the D1-D5-P black string Multicentered black hole saddles for supersymmetric indices

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T21:22:53.045451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:22:53.045451Z digest=sha256:b4498d43253f70b5e2cff48202bf39372e3ca6f2bd7c49cf65b48d85e59b2b0a