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Paper Citation Record · LEDGER

Multicentered black hole saddles for supersymmetric indices

As of 9 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

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 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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  • malformed identifier0
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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:e897523c85e9c8ac55dc2059d4b9069aa368ac1277c5fc53d1e945f0fecad984

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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source=pdf_text observed=2026-08-06T18:54:26.631349Z digest=sha256:910d74cf7c81a3a56f5e55f3c6ec4442ff0ef675db14d112bc47b1021ccb2434

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=sha256:3d2133b9862c5538909e8b7f132b21cd86976cbb68c6f7edd3e768e650b4750f

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:bb06cda688e691b58872394c2321b002937547a8a44b2aa46ed29d4a13766bce

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:ca93955f115e50771459d9d908f473e0fe82fd2c72fb18e5b352fc949079abb3

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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source=pdf_text observed=2026-08-06T18:54:27.194220Z digest=sha256:538620fc3426d60d2578e6d757f44a06e165cad8546cb1eda243272738a1b35c

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=sha256:86d14dc99d670093554f351a4a84d3405c71ef05ff6f257f41354b6e85921dfb

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:f79940c4fd8c03261dd37c0736e164a470fad9655bd786594c88b9b587120edb

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

source=pdf_text observed=2026-08-06T18:54:27.674759Z digest=sha256:9279d8c240525c1d527658cf1739636be7b29afead8f407d1cbdb34a6d40aa17

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=sha256:86811353a4654fc396494a6763c22dabdd8c36d230f92a697adb83661c8eb4fe

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:e232feddb923280f9f90627b186afde78bd2701be11c4b349a78e43a73881d54

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

Resolution
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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=sha256:3648c3fed3eca069e0224999f19d1e9878a130f7deb7a1307daa899b9abbabc2

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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source=pdf_text observed=2026-08-06T18:54:28.268480Z digest=sha256:3b7b81d6bda62dac22ca2223fd3048261f063a27e011702a8c981b39bddc1854

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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no resolver link, observed 2026-08-06T18:54:28.434799Z

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source=pdf_text observed=2026-08-06T18:54:28.434799Z digest=sha256:86dd238442c89164eee2f0ac220066faf0dd5a42664da246a3ed5dc0c406c680

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

source=pdf_text observed=2026-08-06T18:54:28.569768Z digest=sha256:3633329a85dcbcd14579e3557f353d8fb8969e9b981fc62e411acc772c06aab0

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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no resolver link, observed 2026-08-06T18:54:28.732006Z

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source=pdf_text observed=2026-08-06T18:54:28.732006Z digest=sha256:9120160b8061ac7656e886a80ebc4a2f5b8db8c8f0532288ff18d2f2e6cd3ddb

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:bcd54da2acb624ae4ae336392b3169fcbc50f8887d2ab3aa720d3350c6df80d5

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=sha256:0ef81512efbbbaa7d379fc7a45094cfca38e0f9667f1cb89a19a4e32f7f4f279

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:b7752413f89c774a49d2019efd81cd481306ae0b306be81c7f77b052717ba370

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:cb96e01fa06f360e27c70bd7a8c858c5ca392c086df573f38d44f45a5eee5def

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=sha256:377977c5b47c848cf517156f3cc42e996b09e1670ac2fde4f904cb8c1556c9a8

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=sha256:8092c54dfbc4416d727c1c5d1596590b37fe0370670942ad5386c1cceba2bb55

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=sha256:70a9d132c30a9fa846bcd89c2f050e183988821283ac7d54b126becdf4bb3d14

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=sha256:54309be5b891d50913995c3c9ea5dcbe89759d478cd23a9a8af8fc599076ea2e

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=sha256:94bb1a738058373773a9012be1f89e7577c19a3d13c15975c4be4da2982f1269

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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source=pdf_text observed=2026-08-06T18:54:30.033410Z digest=sha256:c73649a97b9fb2fae2db2760c2dafa8810342f32d983ebdefc99b3387bdd6dcd

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:a1fa92cc63e02542fb8093dc99f3571b2636a770d08f9fd8715b1b536e6447c0

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:b88ba5118c45de4dc7e98b308076150c29aca8291312ec12099b9c80c41c3ac1

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=sha256:36f1e6e38b9056bf37bd574a8c530882bf2d42dc6cf13271d566ee330d5da149

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T18:54:30.546102Z digest=sha256:d05e18e1627e24439161d7b48e7d482f848659c5049827dd8e0ccf2b86ead0b9

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=sha256:808b33ec72b54a04e1f87bd71bc0e6fa3b2b731bb0c84e8e935719a389078a86

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=sha256:87316d15a7b3882047fcbacd983f553d1ab8493d7a7e55f8e29dd9adbd47d713

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=sha256:68a013101c1f83a8ed4b07f44ae168a7de48a2f10bf74b9f6c93055970386164

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:b8efeafb497114a3790057a5a7c1b8b3a205570b0f971d52d4e8cbc11d1c86ff

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=sha256:57d5b70b2d24d1d09504264dcf6bb6da8f02a9f6408a54b8b0fa4bd3356bf62b

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=sha256:3e69d2ccb757d9dcc1866734b661e8151d581a40a7c093d9fc31b4aef90c712c

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

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source=pdf_text observed=2026-08-06T18:54:31.476465Z digest=sha256:323cc5e99d99e8431525415962b957a6e17ffe324561be4604fcac5bec1c0942

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:ee550cc00a1362f7f425c83be8733a02937af160131e105a0b5661a7cb802b24

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=sha256:5114194892b2873846c3d6cb90ed220bdf1a7aad58a22df2c6499a768a6b9359

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

source=pdf_text observed=2026-08-06T18:54:31.801107Z digest=sha256:6bc9c3db3d9aa58a8386c04b08912452d4b7a86926c7d71b3f4b87baf7d3ae66

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

source=pdf_text observed=2026-08-06T18:54:31.922636Z digest=sha256:4d2c6cd9c83939ff16e41d46ca4c0afcd2c7a5351a530f328c83c3cd2b436370

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

source=pdf_text observed=2026-08-06T18:54:32.038453Z digest=sha256:90901a480d478e4a59d1589d60936c1674e5afa1fb4bcdcfbc31a21dfd6b391f

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

source=pdf_text observed=2026-08-06T18:54:32.201261Z digest=sha256:1d4af234ceee1a7d9646ed12e05088fd666e1ae74ea2717e5783440d7387713f

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

source=pdf_text observed=2026-08-06T18:54:32.358949Z digest=sha256:365c75280947e3469e3741e33027311ef165ddd5abb581242ea1fe1046f7efb3

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=sha256:3dff9e08ae87a6d3c13bcfeac90470be46cff66ec65f466682f5b3e7d63ccd7f

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

source=pdf_text observed=2026-08-06T18:54:32.604206Z digest=sha256:00e874a0b02405af5d56d293d67e9474b800106367674b3e0765f4502ab9d8e7

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=sha256:164749547406f4da0a0e01792cba6493d9ede202bb0c52d82882b6d2bad8c756

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=sha256:41d8637ef3db619b0a05b35c444d8ddd15972a60af9fde18973a2b1c2aa9187d

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

source=pdf_text observed=2026-08-06T18:54:33.050143Z digest=sha256:f4ef492874b51f86a2ddf37d1feb506fc66df6917759ab5589b1a983ad73297e

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

source=pdf_text observed=2026-08-06T18:54:33.198228Z digest=sha256:903efd88ed1ca688e31724d4f3ab14f73245247d877fdfe3a79de760a2a0a366

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:d9e78c19f69b19dbb1d4641c95eb5382c8d9463fd2a1c60f461574d20cdeead1

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

source=pdf_text observed=2026-08-06T18:54:33.482383Z digest=sha256:65f4b1987e890f3c2c47f18fcd219c6a8ae115df3591bf23c77801d8de4baacf

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:ea5d390126c135a7fdb71842b1d1a3a7f1418801daf4dbc81260edcdfac69cb3

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=sha256:5d4861b764093b2acee8a8e48317e5c0903bffefd506f59be1525e009bdf7511

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=sha256:129e0b62fabdf27af404e1fa615ea2347822d831460fcdcf261100b2273882ae

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=sha256:064979cc52dd696299591d752a9b9aa0bbdab035df1decb955ce996870b54523

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:da7809b4727b3d173953a147757686db2c06a1b02da9ee9bfe6ada13562c5516

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:dcaf292773e482e9a9d933f61f3d34cede6fee7a058bfd20573af4caf5abc720

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:da9e4f933b861feba88ddfed59bda077c5db848b2ac99d96d2769b92b7bb5681

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:bf8515ead36e4d9aec21568859198b4aa5f2cc8733d91cdcb0902f66f8453a1b

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=sha256:650dccda13ce7abed129c8f55486a89b49fe13d6296a6bda823316d545ddd7de

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

source=pdf_text observed=2026-08-06T18:54:34.931728Z digest=sha256:04bad6edb1fbdf209264555ec1cd630f961038736068d316a7e0001bd77630ae

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:ec36ca7418c5ff970c0e0cfd54f35e50767b9ce29e4779f87569dc5d19157ff1

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=sha256:52232c75379a28ee59cb0b09e7fb7ec71dcd946aeb704fe3bb601aa26e39f744

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=sha256:5626837973c38f66d7b0a1e988afba01179b8c394c59abd04dab2f043f9eed56

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:e8e38b8f2f2df2928840f9b394d537173dcd40698a60f90f1f7744bd7e0c7834

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

source=pdf_text observed=2026-08-06T18:54:35.480818Z digest=sha256:684b37320da273e03c9a59434544a85bb4bce46c12acc738bdb0f9dd67395036

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

source=pdf_text observed=2026-05-16T17:03:26.456605Z digest=sha256:a702215d7c217c4c2f2740bdb71dfe1c7f3516237129b9173c378510912aec7c

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=sha256:3014abebbe0c46e797ec8ac790dee58302f8960e23740302c038d65de13d2a2a

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

source=pdf_text observed=2026-06-29T11:10:03.677163Z digest=sha256:9e9b84ef6a82bab623c54690467d6b8e57fa3db3e931f681df5635b517dc1684

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

source=pdf_text observed=2026-06-26T03:08:18.163181Z digest=sha256:725f99d563668445c38359a87cb506af081c6d3fe0ced684a7e36987c503540c

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:f237017fd319cc63719fa6d8d86ea166e7232c657d6a40f5d5f74fdb48910ef0

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=sha256:56e4dba4af438edc1891e81e0b46eedd7edeba833c0788ac62bb54a8dff96fa2

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=sha256:07a0256221d5467f22abbc3de83307586dbef29638e79af26274ce99b66faa4f