Paper Citation Record · LEDGER

A strong finiteness condition for smashing localisations

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.07344.

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

pith.paper-citation-record.v1
2509.07344 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:34:57.082750Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

17 of 17 outbound references displayed

verified exact1
verified fuzzy11
unresolved4
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d64e6b0-d128-4ef5-aac7-e94362412bac · outbound

This paper cites A short introduction to the telescope and chromatic splitting con- jectures.

A strong finiteness condition for smashing localisations A short introduction to the telescope and chromatic splitting con- jectures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.224552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1e16f775-12bd-42dc-96c0-bb9154719028 · outbound

This paper cites The localization of spectra with respect to homology.

A strong finiteness condition for smashing localisations The localization of spectra with respect to homology

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.217679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6defb653-979d-4a53-92ca-dc5864551340 · outbound

This paper cites $K$-theoretic counterexamples to Ravenel's telescope conjecture.

A strong finiteness condition for smashing localisations $K$-theoretic counterexamples to Ravenel's telescope conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T22:34:57.045420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a96222c2-247b-4e42-ad04-c95fcbfe559d · outbound

This paper cites Ohkawa’s theorem: there is a set of Bous- field classes.

A strong finiteness condition for smashing localisations Ohkawa’s theorem: there is a set of Bous- field classes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.210846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6f9a5b4c-1199-4d2e-9046-a91e5ccf2826 · outbound

This paper cites Nilpotence and Stable Homotopy Theory II.

A strong finiteness condition for smashing localisations Nilpotence and Stable Homotopy Theory II

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.203761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 07f07be3-29fa-4598-a821-97f16c1e469c · outbound

This paper cites Cohomological Bousfield classes.

A strong finiteness condition for smashing localisations Cohomological Bousfield classes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.196507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b04d6f7b-82ba-4aa4-acf6-92c5bee3c216 · outbound

This paper cites The structure of the Bousfield lattice.

A strong finiteness condition for smashing localisations The structure of the Bousfield lattice

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:34:57.106227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f2c9827-f6b7-4c36-ab74-d0bdab75e803 · outbound

This paper cites an unresolved cited work.

A strong finiteness condition for smashing localisations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:34:57.189396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b78112ee-cfca-442b-b87d-b9545bbc7828 · outbound

This paper cites 2017.url:https : / / www.

A strong finiteness condition for smashing localisations 2017.url:https : / / www

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.182427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a89e188-ea68-475c-a8a9-28f16bfd03e3 · outbound

This paper cites an unresolved cited work.

A strong finiteness condition for smashing localisations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:34:57.174562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 18940685-56b1-4085-aa04-7b291387e03b · outbound

This paper cites 2012.url:https : / / amathew.

A strong finiteness condition for smashing localisations 2012.url:https : / / amathew

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.167501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e59c6153-de25-411b-b944-7301f777ef58 · outbound

This paper cites Finite localizations.

A strong finiteness condition for smashing localisations Finite localizations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.160159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a849e387-818f-4a5f-93c8-8be41a9d8ee9 · outbound

This paper cites The injective hull of homotopy types with respect to general- ized homology functors.

A strong finiteness condition for smashing localisations The injective hull of homotopy types with respect to general- ized homology functors

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.152390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c24e11a-2669-4102-ac49-b20520776c69 · outbound

This paper cites Localization with respect to certain periodic homology theo- ries.

A strong finiteness condition for smashing localisations Localization with respect to certain periodic homology theo- ries

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.144678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8fc645bb-7731-4589-be91-f9a173012585 · outbound

This paper cites an unresolved cited work.

A strong finiteness condition for smashing localisations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:34:57.137108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c9638b7-6702-4808-9298-7f024a698f35 · outbound

This paper cites Variations of the telescope conjecture and Bousfield lattices for localized categories of spectra.

A strong finiteness condition for smashing localisations Variations of the telescope conjecture and Bousfield lattices for localized categories of spectra

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T22:34:57.129499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e00c1e8-7517-4e85-a0fe-1ebea72c689d · outbound

This paper cites This intersection is nonempty since it contains 0, and remains closed under colimits, so it is the category of acyclics for some localisation.

A strong finiteness condition for smashing localisations This intersection is nonempty since it contains 0, and remains closed under colimits, so it is the category of acyclics for some localisation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:34:57.121760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.