Paper Citation Record · LEDGER

An Analytic Zeta Function Ramp at the Black Hole Thouless Time

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 3 inbound Pith citation observations for arXiv:2505.00528.

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

pith.paper-citation-record.v1
2505.00528 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:53:03.517252Z

measured 39 of 39 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:41:56.053190Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-14T00:08:28.792136Z

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy15
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ab4204c-f35d-42a1-a75c-d4ffa23bd52e · outbound

This paper cites Vishveshwara,Scattering of Gravitational Radiation by a Schwarzschild Black-hole, Nature 227 (1970) 936.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Vishveshwara,Scattering of Gravitational Radiation by a Schwarzschild Black-hole, Nature 227 (1970) 936

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.167956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d9e1241-7128-47f1-a798-6429238e18bc · outbound

This paper cites ’t Hooft,On the Quantum Structure of a Black Hole, Nucl.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time ’t Hooft,On the Quantum Structure of a Black Hole, Nucl

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.172747Z

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Unavailable: canonical work link unavailable.

Observation f7a784cd-1eea-4427-832a-f9cc96dd0fb1 · outbound

This paper cites Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.218801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5d464c7-05f0-4680-8fd5-9f39726698b7 · outbound

This paper cites Fuzzballs and Random Matrices.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Fuzzballs and Random Matrices

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.264127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d562543e-79c8-47c0-8a32-5befbfc1ee4e · outbound

This paper cites What is the Simplest Linear Ramp?.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time What is the Simplest Linear Ramp?

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.308244Z

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Unavailable: canonical work link unavailable.

Observation e4b34fee-1d9c-4ee6-b3c6-98cf542261e7 · outbound

This paper cites Brickwall in Rotating BTZ: A Dip-Ramp-Plateau Story.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Brickwall in Rotating BTZ: A Dip-Ramp-Plateau Story

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.354773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18d5c419-5707-4a77-886e-b77748309fa1 · outbound

This paper cites Normal Modes of the Stretched Horizon: A Bulk Mechanism for Black Hole Microstate Level Spacing.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Normal Modes of the Stretched Horizon: A Bulk Mechanism for Black Hole Microstate Level Spacing

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.393798Z

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Unavailable: canonical work link unavailable.

Observation 93beee4a-75ea-4cc1-aa7f-7030a79203d9 · outbound

This paper cites A Smooth Horizon without a Smooth Horizon.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time A Smooth Horizon without a Smooth Horizon

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.399742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a366d15b-1b4e-4e90-8de0-826c663d909a · outbound

This paper cites Brickwall, Normal Modes and Emerging Thermality.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Brickwall, Normal Modes and Emerging Thermality

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.403967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56572c02-dc07-42a0-97ca-024fe8378ade · outbound

This paper cites Young Black Holes Have Smooth Horizons: A Swampland Argument.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Young Black Holes Have Smooth Horizons: A Swampland Argument

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.407933Z

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Unavailable: canonical work link unavailable.

Observation 90378346-ca1e-4c3f-9ecd-d3aeb582d180 · outbound

This paper cites Stretched Horizon from Conformal Field Theory.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Stretched Horizon from Conformal Field Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.411737Z

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Observation b3e1536a-79d1-484b-b7f7-cfcadbfb4d61 · outbound

This paper cites A Bottom-Up Approach to Black Hole Microstates.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time A Bottom-Up Approach to Black Hole Microstates

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.416114Z

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Unavailable: canonical work link unavailable.

Observation c63b9bb3-5c42-4559-ba47-728806729e6e · outbound

This paper cites Brick Wall in AdS-Schwarzschild Black Hole: Normal Modes and Emerging Thermality.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Brick Wall in AdS-Schwarzschild Black Hole: Normal Modes and Emerging Thermality

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.420494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6f64d29-143e-49e9-a2f6-d35802104fe4 · outbound

This paper cites Blackish Holes.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Blackish Holes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.424659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec7553ae-74de-4c02-8653-d91e3a4a4905 · outbound

This paper cites Holomorphic Factorization at the Quantum Horizon.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Holomorphic Factorization at the Quantum Horizon

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.428939Z

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Unavailable: canonical work link unavailable.

Observation 42c5ccd3-3903-452f-b980-4cda479351e2 · outbound

This paper cites Black Holes and Random Matrices.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Black Holes and Random Matrices

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.433173Z

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Unavailable: canonical work link unavailable.

Observation 395f30b5-64ed-4fbe-8848-2b87002643fc · outbound

This paper cites BPS Chaos.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time BPS Chaos

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.438090Z

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Unavailable: canonical work link unavailable.

Observation c7b66bff-68bc-41a7-a1cb-a606a44956dc · outbound

This paper cites Mehta,On the statistical properties of the level-spacings in nuclear spectra, Nuclear Physics 18 (1960) 395.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Mehta,On the statistical properties of the level-spacings in nuclear spectra, Nuclear Physics 18 (1960) 395

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:04.041061Z

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 0ca6eb9d-8bea-491d-a827-4dfa25f823ba · outbound

This paper cites Dyson,Statistical theory of the energy levels of complex systems.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Dyson,Statistical theory of the energy levels of complex systems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:04.029625Z

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 8541c4f4-ab46-4a74-9535-843f81262963 · outbound

This paper cites Julia,STATISTICAL THEORY OF NUMBERS, inLes Houches School of Theoretical Physics: Number Theory and Physics, 9, 1989.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Julia,STATISTICAL THEORY OF NUMBERS, inLes Houches School of Theoretical Physics: Number Theory and Physics, 9, 1989

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:04.014370Z

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 7cbd7bc8-67d0-4919-8068-b9333ca9f5f2 · outbound

This paper cites Bakas and M.J.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Bakas and M.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.998533Z

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 f0249ba1-d522-4bff-83b6-b7396bac521e · outbound

This paper cites Witten,Anti-de sitter space, thermal phase transition, and confinement in gauge theories, 1998.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Witten,Anti-de sitter space, thermal phase transition, and confinement in gauge theories, 1998

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.985693Z

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 1b26e869-cc01-4ebc-815d-78a4608ca0d4 · outbound

This paper cites The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.464105Z

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Observation b5df3bc9-eb4a-47db-a121-0a8df6dc3ff7 · outbound

This paper cites The Hagedorn Transition, Deconfinement and N=4 SYM Theory.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time The Hagedorn Transition, Deconfinement and N=4 SYM Theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.468750Z

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Unavailable: canonical work link unavailable.

Observation 2e6e93ef-4322-49a2-b39e-addd7590a0ca · outbound

This paper cites Titchmarsh,The Theory of the Riemann Zeta-Function, Oxford University Press, second edition, revised by d.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Titchmarsh,The Theory of the Riemann Zeta-Function, Oxford University Press, second edition, revised by d

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.973481Z

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 5b5273dc-dc67-4f56-9397-5c8f07f0975f · outbound

This paper cites Onset of Random Matrix Behavior in Scrambling Systems.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Onset of Random Matrix Behavior in Scrambling Systems

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.477092Z

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Observation a90da796-e74e-4cce-aded-b16a63f295cc · outbound

This paper cites Thouless time for mass-deformed SYK.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Thouless time for mass-deformed SYK

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T04:53:03.481102Z

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Observation 07b7560d-a878-4cb9-a33a-41fb79bc73e0 · outbound

This paper cites What is an l-function?.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time What is an l-function?

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.961028Z

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 ef44aae8-efc1-460e-9cfe-c0bc3e63f23e · outbound

This paper cites Peakmath landscape.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Peakmath landscape

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.948441Z

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 98714e82-ac18-4b07-9db1-e44be7bb8e89 · outbound

This paper cites Iwaniec and E.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Iwaniec and E

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.931135Z

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 8c5c0e8b-d1ea-45cd-982b-fb19ea9078b8 · outbound

This paper cites Montgomery and R.C.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Montgomery and R.C

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.915895Z

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 1769b13c-3fa0-4475-b03b-78b1385fdf2c · outbound

This paper cites The L-functions and modular forms database.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time The L-functions and modular forms database

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.900718Z

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 7bf2f6ed-8fcf-4325-b804-85e3f2107e4b · outbound

This paper cites Gubser, J.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Gubser, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.886599Z

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 72f09d85-427b-45f4-b0a9-919b22ec2c01 · outbound

This paper cites Maldacena, S.H.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Maldacena, S.H

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.873774Z

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 0240d6dc-f76f-4efc-97ea-665b8fe5c139 · outbound

This paper cites Cogdell, H.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Cogdell, H

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.858812Z

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 210c3b1a-ce9d-42fe-8ef7-45ca8e67f7f5 · outbound

This paper cites Gamma function properties: Asymptotic expansions.

An Analytic Zeta Function Ramp at the Black Hole Thouless Time Gamma function properties: Asymptotic expansions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:53:03.846027Z

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 15e509bb-1d9a-4946-b4c9-571f5c742496 · inbound

Virasoro Blocks and Trouble at the Euclidean Horizon cites this paper.

Virasoro Blocks and Trouble at the Euclidean Horizon An Analytic Zeta Function Ramp at the Black Hole Thouless Time

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T21:41:56.053190Z

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Observation e0aea12c-17cf-4c99-82d0-098458cdf431 · inbound

Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons cites this paper.

Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons An Analytic Zeta Function Ramp at the Black Hole Thouless Time

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-05-14T00:08:28.795841Z

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 63042689-3d01-44da-ba0c-28b1ea5a3950 · inbound

Analytic Spread Complexity from Level Statistics: From Chaos to Integrability cites this paper.

Analytic Spread Complexity from Level Statistics: From Chaos to Integrability An Analytic Zeta Function Ramp at the Black Hole Thouless Time

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:35.423321Z

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Unavailable: canonical work link unavailable.