Paper Citation Record · LEDGER

Machine learning automorphic forms for black holes

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2505.05549.

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

pith.paper-citation-record.v1
2505.05549 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:12:05.929114Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T06:56:17.499687Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact7
verified fuzzy1
unresolved19
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38a75766-7f95-4cc3-b9e8-3c8881297e86 · outbound

This paper cites Black Hole Entropy Function, Attractors and Precision Counting of Microstates.

Machine learning automorphic forms for black holes Black Hole Entropy Function, Attractors and Precision Counting of Microstates

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.796167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b245d30-4069-4df8-86c4-85d0ca54b7f4 · outbound

This paper cites Black holes and modular forms in string theory.

Machine learning automorphic forms for black holes Black holes and modular forms in string theory

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.384733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16e1354e-ecd4-4d82-ac79-3e63a5333d5a · outbound

This paper cites Mock modularity at work, or black holes in a forest.

Machine learning automorphic forms for black holes Mock modularity at work, or black holes in a forest

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.807073Z

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Observation b9cb1313-b8e9-47ee-b921-8e5afd3b4361 · outbound

This paper cites Exact Counting of Black Hole Microstates.

Machine learning automorphic forms for black holes Exact Counting of Black Hole Microstates

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.812304Z

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Observation cfa2ece3-2224-4ab7-8a9f-79755eaab85b · outbound

This paper cites Exact and Asymptotic Degeneracies of Small Black Holes.

Machine learning automorphic forms for black holes Exact and Asymptotic Degeneracies of Small Black Holes

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.330965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 13af606e-cb85-4954-95bd-2d28ce902d7e · outbound

This paper cites Dyon Spectrum in CHL Models.

Machine learning automorphic forms for black holes Dyon Spectrum in CHL Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.822387Z

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Observation 2c9cd022-75f7-42e0-818b-0d284e00668e · outbound

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

Machine learning automorphic forms for black holes Quantum Black Holes, Wall Crossing, and Mock Modular Forms

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.827522Z

Source-reported events for the cited work

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Observation d597decd-05f9-4c83-9442-72b8e5f51940 · outbound

This paper cites Nonperturbative black hole entropy and Kloosterman sums.

Machine learning automorphic forms for black holes Nonperturbative black hole entropy and Kloosterman sums

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.832775Z

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Observation bb4ce820-29cb-49f7-aa98-0346a4eaf825 · outbound

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

Machine learning automorphic forms for black holes Counting BPS Blackholes in Toroidal Type II String Theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.837753Z

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Observation 592b9902-5760-405e-b1e8-60b367b85929 · outbound

This paper cites Near-horizon symmetries of extremal black holes.

Machine learning automorphic forms for black holes Near-horizon symmetries of extremal black holes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.842627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd538a51-68f6-4ee1-bf93-bba3155bc0c3 · outbound

This paper cites Supersymmetry and Attractors.

Machine learning automorphic forms for black holes Supersymmetry and Attractors

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.848581Z

Source-reported events for the cited work

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Observation aecdc7fa-4965-4173-93a8-6f75c00920d7 · outbound

This paper cites Universality of Sypersymmetric Attractors.

Machine learning automorphic forms for black holes Universality of Sypersymmetric Attractors

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.853542Z

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Observation cd9a3ccb-f2d2-447e-adaf-a34f2fca0dca · outbound

This paper cites Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity.

Machine learning automorphic forms for black holes Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.858371Z

Source-reported events for the cited work

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Observation b89a64d6-c037-411d-8d29-ebc9ac1e60a0 · outbound

This paper cites Non-Supersymmetric Attractors.

Machine learning automorphic forms for black holes Non-Supersymmetric Attractors

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.863380Z

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Observation b63a10ca-0201-4811-8b42-57a864b10475 · outbound

This paper cites Black Hole Microstates and Attractor Without Supersymmetry.

Machine learning automorphic forms for black holes Black Hole Microstates and Attractor Without Supersymmetry

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.868241Z

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Observation 189a9ddb-6561-4723-99bc-abe1f8fb6db6 · outbound

This paper cites Counting Dyons in N=4 String Theory.

Machine learning automorphic forms for black holes Counting Dyons in N=4 String Theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.873485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 521dc002-63d4-40bf-94ef-94fc151424db · outbound

This paper cites Asymptotic degeneracy of dyonic N=4 string states and black hole entropy.

Machine learning automorphic forms for black holes Asymptotic degeneracy of dyonic N=4 string states and black hole entropy

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.878353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28950a3e-2d66-4139-bfed-91ea1302676b · outbound

This paper cites Rademacher expansion of a Siegel modular form for ${\cal N}= 4$ counting.

Machine learning automorphic forms for black holes Rademacher expansion of a Siegel modular form for ${\cal N}= 4$ counting

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.129186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ded0c923-9b96-4688-9757-16b03ff95425 · outbound

This paper cites Dyonic BPS Saturated Black Holes of Heterotic String on a Six-Torus.

Machine learning automorphic forms for black holes Dyonic BPS Saturated Black Holes of Heterotic String on a Six-Torus

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.887871Z

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Observation 5dab74d5-e1d4-4e9f-b18f-e40791eacd62 · outbound

This paper cites Machine-Learning the Sato--Tate Conjecture.

Machine learning automorphic forms for black holes Machine-Learning the Sato--Tate Conjecture

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.091720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e1df5c24-960b-4cc7-8f51-e698629897f9 · outbound

This paper cites Machine-Learning Arithmetic Curves.

Machine learning automorphic forms for black holes Machine-Learning Arithmetic Curves

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.069334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48b4fde5-b993-4e43-9bbd-827a95859363 · outbound

This paper cites Murmurations of elliptic curves.

Machine learning automorphic forms for black holes Murmurations of elliptic curves

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.902612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f181b141-f606-4a8f-a97d-52089ccbe689 · outbound

This paper cites An approach to BPS black hole microstate counting in an N=2 STU model.

Machine learning automorphic forms for black holes An approach to BPS black hole microstate counting in an N=2 STU model

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:06.030571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ff05e6a8-e1b8-4aa2-adff-b9274dd4d856 · outbound

This paper cites Deep Learning and AdS/CFT.

Machine learning automorphic forms for black holes Deep Learning and AdS/CFT

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.913455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b5c6621-f852-449e-acff-500088bc09fe · outbound

This paper cites AdS/CFT as a deep Boltzmann machine.

Machine learning automorphic forms for black holes AdS/CFT as a deep Boltzmann machine

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T23:12:05.918502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22c1e015-8587-47af-8ae5-d75987ab7b2a · outbound

This paper cites Learning holographic horizons.

Machine learning automorphic forms for black holes Learning holographic horizons

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:12:05.972159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fcd772c9-941c-4f3d-9d76-c75a1bffdcdc · outbound

This paper cites ml modular forms.

Machine learning automorphic forms for black holes ml modular forms

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:12:06.415933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 86c7cd3a-5e24-4587-bd34-d9a07269846e · inbound

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks cites this paper.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine learning automorphic forms for black holes

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-11T06:56:17.499687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.