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Paper Citation Record · LEDGER

A counterexample to the Kato conjecture for positive commutators

As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2608.07805.

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

pith.paper-citation-record.v1
2608.07805 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:22:52.622088Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation feeaf700-c5d1-461a-af55-14e9df14bbea · outbound

This paper cites Froese and I.

A counterexample to the Kato conjecture for positive commutators Froese and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:22:52.751565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.581634Z digest=sha256:08318f973f07a63af14a931ed6877167e3c8a1d916b590b237d1e8fab5e800a9

Observation 5349ad84-3874-41ef-853c-07cf51300fc3 · outbound

This paper cites The Howland-Kato Commutator Problem II.

A counterexample to the Kato conjecture for positive commutators The Howland-Kato Commutator Problem II

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:22:52.667455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.587585Z digest=sha256:9ee713626db6b24ff623db0ca72f7fa7246e253a372d86fbdaf79b10fdc4cbe9

Observation c89d5d4c-9bd2-4adf-b703-53149382f786 · outbound

This paper cites Herbst and T.

A counterexample to the Kato conjecture for positive commutators Herbst and T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:22:52.738426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.594070Z digest=sha256:68ded5f562484d8866fa69936d148d34451a9b8c1ab98e104019183312a89ea5

Observation f231096a-db74-4711-a93e-d693e2a4ccd2 · outbound

This paper cites an unresolved cited work.

A counterexample to the Kato conjecture for positive commutators Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:22:52.724843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.598784Z digest=sha256:57748a5e69f29d567f3ab53096de0d913979ed47ce3b3e50c77511a3997d8162

Observation a2dcf4dc-d6d0-4e05-ae72-207fe6180fe5 · outbound

This paper cites Kato,Positive commutatorsi[f(P),g(Q)], J.

A counterexample to the Kato conjecture for positive commutators Kato,Positive commutatorsi[f(P),g(Q)], J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:22:52.712905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.607124Z digest=sha256:980d88e574d0f93cbb32959e0ac7638a2888433d4822685f31eed7ff6ef6dca2

Observation 98c2ba8b-f1db-4b44-8a6b-1033e5c1e307 · outbound

This paper cites an unresolved cited work.

A counterexample to the Kato conjecture for positive commutators Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:22:52.698911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.614377Z digest=sha256:99f6c56798f01aa957b46308bfc9db2ec59e9cc4fd3d777bca09f0eb397092f7

Observation 47087f0b-63bd-4192-8aee-5185a8b51526 · outbound

This paper cites Simon,Loewner’s theorem on monotone matrix functions, Grundlehren Math.

A counterexample to the Kato conjecture for positive commutators Simon,Loewner’s theorem on monotone matrix functions, Grundlehren Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:22:52.682758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T04:22:52.622088Z digest=sha256:daf0c38007992f9f64f43abbda9856d37ee1bb1b1fd27e7296f4e35036b23c20

Pith citing papers

No inbound Pith citation observations are available.