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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=sha256:39fb36719a0092dfc5d5e4d2d1aab43c15765c312242145c91152d669546cbfe

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=sha256:0b99de1fc073e7985f1755fea050a8fdd43597ee0ecba4d16f52da816832372a

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=sha256:863d580eddee954dae979faa2cc06bd371a33888dd5376fcc38df72450952ac9

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:f8154038164ebbab7af7df3b2ab2e9d2b601912e9e87a26be4f07d0fe124e5d7

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=sha256:4b4dcb1fcc7b6a66b3acfeaa96cba1525aa35d3e180a6cccb855cd234b61eed5

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=sha256:31d031368f552f74172b6b77621e5022e7224b90d3cbf5feb63de90b1b9a1330

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=sha256:2ae55622741d43ce5b49adb5c453ca0168261a3774b89759cb8c0431d9564677

Pith citing papers

No inbound Pith citation observations are available.