Paper Citation Record · LEDGER

Spectral localizers in KK-theory

As of 18 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2508.08668.

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

pith.paper-citation-record.v1
2508.08668 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:46:29.645329Z

measured 8 of 8 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 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

8 of 8 outbound references displayed

verified exact1
verified fuzzy5
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d91082d-314a-431c-83bf-a7f475270e1c · outbound

This paper cites Baaj , Multiplicateurs non bornés, Publications Mathématiques de l’Université Pierre et Marie Curie (1981), no.

Spectral localizers in KK-theory Baaj , Multiplicateurs non bornés, Publications Mathématiques de l’Université Pierre et Marie Curie (1981), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.808265Z

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 189617f1-ec2c-4cad-b309-8dbcb2ff1168 · outbound

This paper cites Mesland and A.

Spectral localizers in KK-theory Mesland and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.744461Z

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 95fb980d-0125-4c25-b981-b08152dfe8e5 · outbound

This paper cites Kaad and M.

Spectral localizers in KK-theory Kaad and M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.759755Z

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 355bf459-adb5-4e2f-a13a-0bf2610cff53 · outbound

This paper cites The functional calculus for regular operators in Hilbert C*-modules revisited.

Spectral localizers in KK-theory The functional calculus for regular operators in Hilbert C*-modules revisited

Reference 719

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T17:46:29.705449Z

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 18fc18d0-40a9-4a7e-8a79-6bc4d8d4ebca · outbound

This paper cites Higson and J.

Spectral localizers in KK-theory Higson and J

Reference 1957

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.790935Z

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 97157d9c-478a-40c5-ad0f-a08112388370 · outbound

This paper cites Kaad, On the unbounded picture ofKK-theory, SIGMA Symmetry Integrability Geom.

Spectral localizers in KK-theory Kaad, On the unbounded picture ofKK-theory, SIGMA Symmetry Integrability Geom

Reference 1991

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.775115Z

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 ce8c5aa9-97af-45b3-bfeb-9f362dd5552f · outbound

This paper cites A generalization of K-theory to operator systems.

Spectral localizers in KK-theory A generalization of K-theory to operator systems

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:29.645329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4319f55f-4099-4aee-ab6b-9565d82fbbe4 · outbound

This paper cites Detecting local topology with the spectral localizer.

Spectral localizers in KK-theory Detecting local topology with the spectral localizer

Reference 1998

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:29.728538Z

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.

Pith citing papers

No inbound Pith citation observations are available.