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Paper Citation Record · LEDGER

Spectral Gap and Exponential Decay of Correlations

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:math-ph/0507008.

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

pith.paper-citation-record.v1
math-ph/0507008 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:47:24.671643Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T11:38:04.436783Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5f84e62a-9509-4cbe-874c-eb609e588f6c · inbound

Locality and Heating in Periodically Driven, Power-law Interacting Systems cites this paper.

Locality and Heating in Periodically Driven, Power-law Interacting Systems Spectral Gap and Exponential Decay of Correlations

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-14T14:47:24.671643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:47:24.671643Z digest=sha256:10b0bd615fb58be8ba2cce408c82fb860c7c40405e30c12a6ea69af55e4b6020

Observation 3a375a4a-fb5f-4952-aec5-0ac78674b58d · inbound

Long-Range Prethermal Phases of Nonequilibrium Matter cites this paper.

Long-Range Prethermal Phases of Nonequilibrium Matter Spectral Gap and Exponential Decay of Correlations

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-14T12:20:22.964684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:20:22.964684Z digest=sha256:2ae20c28e48a31d1a1b41a470f40b62902bf7f0176f51c76f1105e9139d6ce94

Observation dbff408b-b297-41f1-b26a-85f6ffcbcd85 · inbound

Superluminal chaos after a quantum quench cites this paper.

Superluminal chaos after a quantum quench Spectral Gap and Exponential Decay of Correlations

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T11:30:16.014620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:30:16.014620Z digest=sha256:6574095195245650871132782d7295c31812b9f2fc78f6941082b113158f3e62

Observation e8642a83-3810-46d1-8c45-3496c113adc8 · inbound

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning cites this paper.

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning Spectral Gap and Exponential Decay of Correlations

Reference 42

Resolution
malformed identifier
local_arxiv, observed 2026-05-24T03:28:50.111241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-24T03:27:58.703189Z digest=sha256:ecd2b93e9109e69dabbfb33460e44174406b42a55da868b366792df610c4be69

Observation 2487a0dc-ed21-4623-be99-a7e95f3a125d · inbound

Photonic Exceptional Points in Holography and QCD cites this paper.

Photonic Exceptional Points in Holography and QCD Spectral Gap and Exponential Decay of Correlations

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-05-18T06:32:26.073989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-18T06:31:37.636485Z digest=sha256:d61c3d0b3a2dd2f05596c4114037efd79f5f547b61638922f9a5ca13e84207db

Observation 538c9947-55aa-4a7a-9648-d2bf7982e4d2 · inbound

Pure gapped ground states of spin chains are short-range entangled cites this paper.

Pure gapped ground states of spin chains are short-range entangled Spectral Gap and Exponential Decay of Correlations

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T21:41:13.790291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:41:13.790291Z digest=sha256:46c77f0c4f2a69c459aeee6f819cb98642ae7f47ab17559c5b9bdbddc235570c

Observation ca425e9d-5045-4aae-bcdb-66e0795959bc · inbound

Static features from mixing in short- and long-range Lindbladians: Markov property and correlations cites this paper.

Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Spectral Gap and Exponential Decay of Correlations

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:05:51.314273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-29T04:10:02.479489Z digest=sha256:69a264f69c7255232ada74b2f651128993ba498100d21ddd514b53035dd9bb5a

Observation cb5f9a1d-db6a-424e-8be9-2c2b8761e8fa · inbound

Static features from mixing in short- and long-range Lindbladians: Markov property and correlations cites this paper.

Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Spectral Gap and Exponential Decay of Correlations

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T11:34:29.323923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T11:34:29.323923Z digest=sha256:81026c43e12983b93a7f9e739358b6889f411a9a21499de5aaa23e48857d1c30

Observation 43220ab9-2b43-4a65-8d57-dbb179c401f3 · inbound

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model cites this paper.

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model Spectral Gap and Exponential Decay of Correlations

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-03T11:38:04.437934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:cbd1cefe817fe5333c5b8dd80a768bf6b888a37d6d0041e735caa02a6e75bf2f

Observation f4b2f2af-cd5a-4301-b0e5-47f7818aa863 · inbound

False vacuum decay in long-range interacting quantum systems cites this paper.

False vacuum decay in long-range interacting quantum systems Spectral Gap and Exponential Decay of Correlations

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-12T03:37:15.308579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:37:15.308579Z digest=sha256:684d44ecb91a6ad57dde9613e23044303ea939319a0689ccaa70dbaca2c54f40

Observation 8fcfa625-ae5c-4d83-bee5-8331ba9c0a0d · inbound

Overcrowding and the Finite-$N$ Hilbert Space cites this paper.

Overcrowding and the Finite-$N$ Hilbert Space Spectral Gap and Exponential Decay of Correlations

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T04:02:35.856538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:02:35.856538Z digest=sha256:844deb381d6947101eaffa9f6ceb7d00112c7d1c74131ab9adeb2a9c1352c52a

Observation 3fe6525a-7c00-416a-955d-a60afa6cbd1b · inbound

Efficient computation of real-time correlators using Pauli Propagation cites this paper.

Efficient computation of real-time correlators using Pauli Propagation Spectral Gap and Exponential Decay of Correlations

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-31T05:49:54.131085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T05:49:54.131085Z digest=sha256:bcfed506c24dbc360e70da95982aea0874d28da0201c481813aa1a95488c7444