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Paper Citation Record · LEDGER

Multicentered black hole saddles for supersymmetric indices

As of 8 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 2026-08-08T06:32:00.761636+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=sha256:9ccec3fa3f8660197e1ac584805f636170f5441813c6cc62ca2ce9210ef00a9b

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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raw_fallback, observed 2026-08-06T18:54:40.065998Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:26.631349Z digest=sha256:a6f15c4db317df74140e4cc2b5b0e470c44b6593769b1842943aee1cbc634bf6

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=sha256:0e5d827bc6d15f78a1d23c7b25be09d5c8b850fe2baccfddf806328e9d3f036d

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=sha256:56d69f5ba8243e25963f9c292591a04f8a8bf331814e7987972ecf07d1d0cfd2

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=sha256:4f6bd0f7ced554bdadf186ee4eb4e815c875fa756edf195040a84b11a5bdf66c

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=sha256:96387420882e197c00c1cadc2f7b79237ce427a5550488e45600bc2eba58e66b

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=sha256:35aa99f21c511e3bfbe583e7dd14c3e11ebac20eee0a67e84d88180d41abc2db

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=sha256:1d5e7432ab4a16e76e16b5fa9d13ff7de09f7d71d80941974e2eaf86cbf54b04

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:27.674759Z digest=sha256:67bfd2f3805d423035e03b5a31a5a605c37ad08051994bd697b0c396a9808863

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=sha256:99d7eb61a572feb7d43fa6f11d45f1e4b05d5bb413f325f39d00562f37add89a

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=sha256:8d510dc6d42dbf33ce3b28923834fa8e7d372262117993452277b84af6e64a9e

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:b01a48ded370baa6ba470c3830fc7282fe341b5efe40af0746f56e9e835bef47

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=sha256:64d554aaec33c09147d8e9a42cca5b813576f63bd0c3bcdb752394723b113ccf

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=sha256:14320b726871e3666ac9a45b09e4b7be85aba7f76173b7ef34296ebd60af03c2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:28.569768Z digest=sha256:9bc0890d0857881b619c2635ce3395029924eeaec47299111619862523bd828e

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:edeb324a3edc1bbf3069259d0061a1fc5e5955ba3a0a149403d357d610601bde

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:a566f0a740d7a92d42b6e04af15d7ee79ab4200ae673352982c84d6250d51255

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=sha256:66bf69a1e158a80e6f8e92a664f0f41af7a211f72760ae2dd779e30d307526dc

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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no resolver link, observed 2026-08-06T18:54:29.116156Z

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source=pdf_text observed=2026-08-06T18:54:29.116156Z digest=sha256:29f02c1839a791d59fcc3c3e6fea53cdab9b3d297b45d32f8007b846790c87e6

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=sha256:9b3b070613259aca97dfa1c0fd4b8022438aedbd809882febd6d501a509160ac

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:c45f85a3cd6d60e32ed9cbc1febe84ea9c0a759365a34be3b9430a8554a85b1c

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:e58c5a68dca84e80202b1a6967c064da8493c23517bbc10328347e510ad7729b

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:b1e772d1ad581a77a5d17b659bbd1513ac106f86f9086ef41dd45d94036ac03a

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=sha256:37e792a2a296b8cce13149f6b29cee620f10dd65a304469459283e79371c6d1e

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=sha256:1e141cff38ec11c7f36b886cdce1df499ddef0665a9335fdaf9265b8bee5eff7

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=sha256:256ebfa5995e902ada035d65820e9c405a952f0d1da0bc6027e68d7d2d3ff348

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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source=pdf_text observed=2026-08-06T18:54:30.112699Z digest=sha256:ebd329ede9e153855f92042441b619d79519872e13293d08d505385a611eaa74

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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source=pdf_text observed=2026-08-06T18:54:30.308066Z digest=sha256:09af71fc3018cbbddea0d45d25614ab627487de501ff3231ecc9fbebb1b57a9a

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=sha256:6ce64369a843b44c333197c714144339d4a31402a5eb8284e728e62d76aec062

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:30.546102Z digest=sha256:506246816f98c1bfb88307944c0bf0ec28836248781ca401bb540273fc657043

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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source=pdf_text observed=2026-08-06T18:54:30.668385Z digest=sha256:86daca4a4581db9e7923ba76d96d405f9d77911c05814efb09819038b4c44965

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:d29beff43401b7d191111bec50336dd2dd44c22ab063b44b64bd04f1c7512911

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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no resolver link, observed 2026-08-06T18:54:30.989794Z

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source=pdf_text observed=2026-08-06T18:54:30.989794Z digest=sha256:437d5fbedcc63576d68d93bab4024bc24626865b555fbb41464d23809c3af438

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=sha256:8791e1567e6e130f14c24490da5515a96e3efa6e68f5a11ed6442f12e47b5ac3

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:a36232974a6734d0cd5544e58d9a258f00ceb5f60b4bc9df1d2194ff4880e2f8

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=sha256:62a0cd687e4e43e6a46ac932e54a802fec501fffa3c9179a68dcf6de85c1773b

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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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=sha256:8f326866d4b77e4ac93c63683ed8ecb42cbeaf92263aabbdadc10d2dbbc6c2d7

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=sha256:82acaf3785dc501e1f462b1ceac0b8daf19d62f6c86e9a63f2bb8c90bae848ba

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=sha256:8266cea3e1254b5ce17b602cc039afda912dc1b7d6501c6e20f91c3e2e99bed9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:31.801107Z digest=sha256:44e9b3cba76e28f3b12c88eda01e78628be13b3358dc41147e3679416050fa1b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:31.922636Z digest=sha256:1dc20a48e108a5325464d6e98841de5f4223e3730cbbe08879ec81fa85b90c34

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:32.038453Z digest=sha256:c05138c2346f3ef4cef2456cf6a4ae1e5165baec37089e258d71d13b15ecb587

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:32.201261Z digest=sha256:246ee74050d37bcf22b0673fa1ddb9e1b06051ef6b0f73a334ba7884a80e19d5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:32.358949Z digest=sha256:dab383202ff509a50c47a6753b3fdb5cbf9f3f756e1d3c6885ae4447162e56fd

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=sha256:21906002ee5317ff6d4489988b457ac03fe45793c067c85146380c2973d027b0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:32.604206Z digest=sha256:577e13e4730af02210a10b86c6a662747a0d49213fd9db808c016f08b9a00f43

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=sha256:906de52ad5b68f1c8f0f8028a743d07b1792c0989ef69e1945fb158a39d0e8cb

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=sha256:1e5e7288a29bd22d5243d5c6f74b9e1d387e82b8c8f75aea002a043d86e8f0b2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:33.050143Z digest=sha256:9eadc4c4f6dc750afb7f1d8f32d608de567ce39f83e61d8175e08c6ac49abf34

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:33.198228Z digest=sha256:ae95fe82baf6c698d381cbdc962bd59982c0be8e0852d8646ecabfe5b7c232bf

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=sha256:018cdc34da4aabe9995943049e0903e0f47f04b60c1b555c6f11e1efd4cfc5aa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:33.482383Z digest=sha256:e7eede150e612f046b37c144ad31d27f9199d19bcbfad1bf17fa41cb646ae9e7

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:adacd99e6f190add43ab14557e67f3ddf6c3929c6d0a07613271798e541216c5

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=sha256:6b55fe65ef431611afd8ec743b9d9115416e3c2df6086ade3de0b72f2233b2f3

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=sha256:697e15b4229b86a186bd581a595b927cc0d61dffe8f5942dd86c5dd2e0b611ef

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=sha256:3869d64c7169c305474c70fec3b023acc57af007770f9f316d820f946a002b4d

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=sha256:5206234082adb603201c4b2cb59ac06edef71154ddab67f91926d1d7308e3b66

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=sha256:0df4bb1cc095c676453a542656103e995cf15f73a7cf2f668363bf6013c57465

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=sha256:5940785d2a042002f81a5f9fcf9c6293ff00b1b52e17fe390d89a790e6343e9b

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:beeb24ff74d886ac6113c13b980d036f978ab03e81f58b0253a163245868c433

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=sha256:4c22d12723472e992a11279be3cff146bd7272f84a0fcf1ef00fcdb63e6a02c5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:34.931728Z digest=sha256:fc427f0e454d0f1cbbff9ad0e1cd4f3311c2a7a502f626e5b4ebc159f2b8dcad

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=sha256:28cfc21ded41da5a11afdd3ec307c4df9c8f59bd4b01714bbd2bf78fa38cfd6b

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:ebe547f572a48fe89669a8e262377e2e623d4bb977bb3f1c4f1bd4b16d31ce82

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:b1b518acd1d88f980e42e41a65ccffb459d1fb69ee7b7e3e36ac5c2eea4a943a

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=sha256:4ea3222af7260a12ebe433b1a160f902f39cb4ee1bf93e57230e8165a32e7525

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T18:54:35.480818Z digest=sha256:20255621fa580f94ebd5a3bddd16116963a961d36fd6d06bd414b9e0d85cb0a8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T17:03:26.456605Z digest=sha256:4473030c7c156683cff4e86a6923545c3b05004a10680829f3d52f6f5171366b

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=sha256:1af55295aa7478981dd468a35ffa9b8d4dab079e570ec46aaf881b6a147e8efd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T11:10:03.677163Z digest=sha256:59f4a109bc18a5a5cfcb3dbc769fe87d32117c7d97c7048707c0864cbbcdc3da

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T03:08:18.163181Z digest=sha256:6d7df0bdd871616521afcbd70b263f65d8df478c21e194e088ef7f65c3a56c0a

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:e0409c94c802892eebca740bc3f58d9dfa7339c5ac333551bd065c28d16aa328

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=sha256:0a30091da0e03474e488418e0d7ecaf8ca443dc633548715c3f6974e1f545e9a

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:fafe3997103cc6eefe921ce7570a02f3775cfdc1bc82b0321ac4362f3b7522f7