Paper Citation Record · LEDGER

Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay

As of 19 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 2 inbound Pith citation observations for arXiv:2505.08991.

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

pith.paper-citation-record.v1
2505.08991 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:56:13.541849Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:54:57.709965Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T06:38:05.551627Z

Reference resolution

2 of 2 outbound references displayed

verified exact1
verified fuzzy0
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97e67896-5ccf-4853-8620-5dabcc04cb1d · outbound

This paper cites Belavkin-Staszewski Quantum Markov Chains.

Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay Belavkin-Staszewski Quantum Markov Chains

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:56:13.601136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 86847c8d-bc65-4561-a274-e68611843e2a · outbound

This paper cites Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states.

Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T21:56:13.541849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0791efeb-8c7e-4512-a30b-dba37ead2725 · inbound

Belavkin-Staszewski Quantum Markov Chains cites this paper.

Belavkin-Staszewski Quantum Markov Chains Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T19:54:57.709965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77ecb042-c93b-48c2-9de4-a5897506aad7 · inbound

Modified logarithmic Sobolev inequalities for Abelian quantum double models cites this paper.

Modified logarithmic Sobolev inequalities for Abelian quantum double models Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-20T06:38:05.553023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.