Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:54:35.480818Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:54:35.480818Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T02:32:08.252308Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T14:39:57.888235Z
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 085e827a-6959-4c4e-9d66-b71e4fbc0174 · outbound
Multicentered black hole saddles for supersymmetric indices Microscopic Origin of the Bekenstein-Hawking Entropy
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bcf8205-3ae7-4a6e-95d7-be4ed5a8e133 · outbound
Multicentered black hole saddles for supersymmetric indices Action Integrals and Partition Functions in Quantum Gravity,
Reference 2
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.
Observation 6c5bc83b-fa5a-4f3b-b09f-97946e360adf · outbound
Multicentered black hole saddles for supersymmetric indices Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0704decc-8562-4877-81a0-b59c812754ac · outbound
Multicentered black hole saddles for supersymmetric indices The BPS limit of rotating AdS black hole thermodynamics
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c2c79df-b700-47b4-aba7-273fc46d56ab · outbound
Multicentered black hole saddles for supersymmetric indices Universal Spinning Black Holes and Theories of Class $\mathcal R$
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d2607a3-b79f-412e-be5e-ea1ab03b4e18 · outbound
Multicentered black hole saddles for supersymmetric indices Euclidean Black Saddles and AdS$_4$ Black Holes
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71aa2b14-f1a3-49f7-9059-78062498a769 · outbound
Multicentered black hole saddles for supersymmetric indices Microscopic Entropy of AdS$_3$ Black Holes Revisited
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0ddb4f4-89d3-4d8d-9e53-b5d477e08906 · outbound
Multicentered black hole saddles for supersymmetric indices 4d N=2 supergravity observables from Nekrasov-like partition functions
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4ad3a16-d32c-4630-9c2c-a151b86cf34f · outbound
Multicentered black hole saddles for supersymmetric indices The dark (BPS) side of thermodynamics in Minkowski$_4$
Reference 9
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.
Observation 73f89f33-ca4b-43e5-88d2-f4082c736862 · outbound
Multicentered black hole saddles for supersymmetric indices Supersymmetric phases of AdS$_4$/CFT$_3$
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06298f4e-df57-43b0-9d40-9a76cc501e90 · outbound
Multicentered black hole saddles for supersymmetric indices Supersymmetric indices factorize
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f070302-3c38-4988-a029-ac8b8354ad70 · outbound
Multicentered black hole saddles for supersymmetric indices Logarithmic Correction to BPS Black Hole Entropy from Supersymmetric Index at Finite Temperature
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e36389cf-c274-439f-ba3d-ce31feab4851 · outbound
Multicentered black hole saddles for supersymmetric indices Revisiting Logarithmic Correction to Five Dimensional BPS Black Hole Entropy,
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfeeed64-9465-4ce4-87f6-1510e208a9f4 · outbound
Multicentered black hole saddles for supersymmetric indices New forms of attraction: Attractor saddles for the black hole index
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 074bb178-1c9b-449f-8305-ad93b80d4b83 · outbound
Multicentered black hole saddles for supersymmetric indices Killing Spinors for Finite Temperature Euclidean Solutions at the BPS Bound
Reference 15
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.
Observation 05305502-1818-4574-b55e-0ea83091200a · outbound
Multicentered black hole saddles for supersymmetric indices Supersymmetric Index for Small Black Holes
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c7eb6e3-02c3-4bbd-83b5-10c230c56675 · outbound
Multicentered black hole saddles for supersymmetric indices Gravitational index of the heterotic string
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4011bec9-d754-4ebb-9ae8-d29be0c8b595 · outbound
Multicentered black hole saddles for supersymmetric indices Localization of the 5D supergravity action and Euclidean saddles for the black hole index
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 740bd495-6a98-4b43-8181-33da0dd6e05d · outbound
Multicentered black hole saddles for supersymmetric indices Supersymmetric Index for Half BPS Black Holes in N=2 Supergravity with Higher Curvature Corrections
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 919f4e92-a969-4fbc-b32d-ac62fa48aa94 · outbound
Multicentered black hole saddles for supersymmetric indices Attractor saddle for 5D black hole index
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8133428-2ab7-449e-bd2c-a99774959937 · outbound
Multicentered black hole saddles for supersymmetric indices Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 419e38c0-833b-4eea-8f52-716f9c19a6cd · outbound
Multicentered black hole saddles for supersymmetric indices The gravitational index of 5d black holes and black strings
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58f2660d-2949-4af0-ab74-e284305dd4d9 · outbound
Multicentered black hole saddles for supersymmetric indices Quantum black holes: supersymmetry and exact results
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e05c713-201c-475f-99f3-1df8ca625a3c · outbound
Multicentered black hole saddles for supersymmetric indices The gravitational index and allowable complex metrics,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4038786-04ca-40a6-a537-4fc5d9c07e53 · outbound
Multicentered black hole saddles for supersymmetric indices The gravitational index of a small black ring
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82987cb6-b59e-4f5e-a107-0fbb8e97a96a · outbound
Multicentered black hole saddles for supersymmetric indices Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ccf0410-208e-408c-af80-1a763c5c5ad3 · outbound
Multicentered black hole saddles for supersymmetric indices Supersymmetric Index from Black Hole Entropy
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a872972b-0f78-4248-a44d-1dae10a36901 · outbound
Multicentered black hole saddles for supersymmetric indices Quantum black holes, localization and the topological string
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 266a0fb0-3acf-4aa7-9a67-cb7f52993d82 · outbound
Multicentered black hole saddles for supersymmetric indices Black hole microstate counting from the gravitational path integral
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72aa398b-e820-4661-b03a-37b9d724bb69 · outbound
Multicentered black hole saddles for supersymmetric indices The gravitational path integral for $ N=4$ BPS black holes from black hole microstate counting
Reference 30
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.
Observation 82334aac-7cbd-4405-8702-3a98c84e0904 · outbound
Multicentered black hole saddles for supersymmetric indices Counting BPS Blackholes in Toroidal Type II String Theory
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9149e9c7-fb29-4666-8ba8-f12bfd7512fc · outbound
Multicentered black hole saddles for supersymmetric indices New Connections Between 4D and 5D Black Holes
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56248d63-b846-4848-99db-91b7f038f46c · outbound
Multicentered black hole saddles for supersymmetric indices BPS Black Hole Degeneracies and Minimal Automorphic Representations
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49e64a38-142d-42f7-81ef-b05af6528388 · outbound
Multicentered black hole saddles for supersymmetric indices Counting Dyons in N=8 String Theory
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fe86a0e-8079-436f-855a-1df23f3d1f97 · outbound
Multicentered black hole saddles for supersymmetric indices CHL Dyons and Statistical Entropy Function from D1-D5 System
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3862a4c-d0b4-4080-aa56-95240a0915c4 · outbound
Multicentered black hole saddles for supersymmetric indices Supergravity flows and D-brane stability
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18755037-53ca-4f8b-b48f-4d4db5204921 · outbound
Multicentered black hole saddles for supersymmetric indices Exact solutions for supersymmetric stationary black hole composites
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abf8df85-735e-48dd-b5f8-784fa79cd3f7 · outbound
Multicentered black hole saddles for supersymmetric indices Split States, Entropy Enigmas, Holes and Halos
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05168c3f-0194-458b-ab9c-c662efbe5503 · outbound
Multicentered black hole saddles for supersymmetric indices Wall-Crossing from Boltzmann Black Hole Halos
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17a2da92-9ee2-4558-b163-bfabcda652a6 · outbound
Multicentered black hole saddles for supersymmetric indices Event horizons in static vacuum space-times,
Reference 40
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.
Observation f604c3c2-a46e-439a-a60c-0b9a39c81732 · outbound
Multicentered black hole saddles for supersymmetric indices Solutions of the Einstein-Maxwell equations with many black holes,
Reference 41
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.
Observation 2767abe4-e640-44a4-a549-2e6e7ae02abb · outbound
Multicentered black hole saddles for supersymmetric indices On Israel-Wilson-Perjes black holes
Reference 42
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.
Observation 0a885695-1fae-493e-b1af-948bfb0dda60 · outbound
Multicentered black hole saddles for supersymmetric indices ISRAEL-WILSON METRICS,
Reference 43
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.
Observation f747aa88-dfd1-40cc-830b-0e3a6af4859a · outbound
Multicentered black hole saddles for supersymmetric indices Israel-wilson Metrics in the Euclidean Regime,
Reference 44
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.
Observation a1d62d8d-1968-48eb-bbfc-b2313c3187ff · outbound
Multicentered black hole saddles for supersymmetric indices Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c64a5d01-22e8-4c62-8431-2ef77555a1d1 · outbound
Multicentered black hole saddles for supersymmetric indices All Metrics Admitting Supercovariantly Constant Spinors,
Reference 46
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.
Observation 14f169d1-223a-4d51-81f1-add8282f7ea4 · outbound
Multicentered black hole saddles for supersymmetric indices Black Hole Entropy is Noether Charge
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8096613a-e40b-4cfd-994f-c185c3486586 · outbound
Multicentered black hole saddles for supersymmetric indices Duality between Electric and Magnetic Black Holes
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a002179e-1c95-4f43-b84b-16e64fa4ec7b · outbound
Multicentered black hole saddles for supersymmetric indices Unresolved cited work
Reference 49
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.
Observation c319e23d-0d45-4825-ace7-40efc0ee23dd · outbound
Multicentered black hole saddles for supersymmetric indices Distance geometry — Wikipedia, The Free Encyclopedia,
Reference 50
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.
Observation 3717e287-55aa-401a-a63a-c779dc8595ee · outbound
Multicentered black hole saddles for supersymmetric indices Black Hole Entropy, Special Geometry and Strings
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abc7f79a-1ba7-4779-a426-885c0604aafd · outbound
Multicentered black hole saddles for supersymmetric indices Calabi-Yau Black Holes
Reference 52
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.
Observation d07d8f6e-91d4-40ee-8907-545695eddb91 · outbound
Multicentered black hole saddles for supersymmetric indices Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6723c79-41e4-4f65-81a6-8e6bd6f12203 · outbound
Multicentered black hole saddles for supersymmetric indices Wall-crossing, Hitchin Systems, and the WKB Approximation
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbb285cb-eae6-4d0a-8c50-6c553df2c390 · outbound
Multicentered black hole saddles for supersymmetric indices Framed BPS States
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fb2e6f6-b91c-46f3-83ed-5c0999464819 · outbound
Multicentered black hole saddles for supersymmetric indices Four-dimensional wall-crossing via three-dimensional field theory
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8d794df-bae1-4045-a682-23743d6cc079 · outbound
Multicentered black hole saddles for supersymmetric indices Quantum Black Holes, Wall Crossing, and Mock Modular Forms
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db0be81b-f17e-4376-aa21-090c274c017e · outbound
Multicentered black hole saddles for supersymmetric indices Witten Index and Wall Crossing
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44c91cb2-f12b-4117-b222-2e0ff2ce5131 · outbound
Multicentered black hole saddles for supersymmetric indices Quantum Quivers and Hall/Hole Halos
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76035cd0-757e-46be-a9f0-0ed842f3ebd9 · outbound
Multicentered black hole saddles for supersymmetric indices Quantizing N=2 Multicenter Solutions
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f836d81f-1f62-413e-901a-94a23926d0ab · outbound
Multicentered black hole saddles for supersymmetric indices A fixed point formula for the index of multi-centered N=2 black holes
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a116f5c-be0b-4eab-8a9d-d618398334d7 · outbound
Multicentered black hole saddles for supersymmetric indices Corfu lectures on wall-crossing, multi-centered black holes, and quiver invariants
Reference 62
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.
Observation 6ff730f3-3e2d-405b-aec1-6566ed50abae · outbound
Multicentered black hole saddles for supersymmetric indices Wick rotation and the positivity of energy in quantum field theory
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff888fd8-e2de-4dca-b81d-edbc41951277 · outbound
Multicentered black hole saddles for supersymmetric indices A Note On Complex Spacetime Metrics
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc9fab48-773e-47d7-a6f3-992bf6718a9c · outbound
Multicentered black hole saddles for supersymmetric indices Estimating global charge violating amplitudes from wormholes
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19ae59f1-4645-46fb-add7-853391aa950d · outbound
Multicentered black hole saddles for supersymmetric indices Comments on the double cone wormhole
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2ab5aac-7c01-4591-8c5c-0eda354021fc · outbound
Multicentered black hole saddles for supersymmetric indices To appear,
Reference 67
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.
Observation a30f553a-75b2-42eb-89a2-838bb1bf2134 · inbound
Non-supersymmetric F1-P black rings Multicentered black hole saddles for supersymmetric indices
Reference 30
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.
Observation 276b7e56-23c2-4682-9da8-22f7423b6087 · inbound
Index saddle for supersymmetric F1-P black ring Multicentered black hole saddles for supersymmetric indices
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 581fce34-6b6d-49c0-a71a-b2c9d3ef8b3d · inbound
Complex BPS Black Holes in AdS$_3\times S^3$ Multicentered black hole saddles for supersymmetric indices
Reference 6
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.
Observation ec5baf0b-fb65-4e7b-8987-b9bd52ece02a · inbound
Index saddle for the D1-D5-P black string and its decoupling limit Multicentered black hole saddles for supersymmetric indices
Reference 16
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.
Observation 4d90876b-fa33-42b0-802c-f36db2af95ac · inbound
Index saddle for the D1-D5-P black string and its decoupling limit Multicentered black hole saddles for supersymmetric indices
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6635a69-c62e-4e35-9677-e00f4952f40a · inbound
On conformal symmetry in large-$N$ quiver mechanics Multicentered black hole saddles for supersymmetric indices
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7e22653-f323-43ce-8569-876b744ae5e1 · inbound
Gravitational index of the D1-D5-P black string Multicentered black hole saddles for supersymmetric indices
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.