Paper Citation Record · LEDGER

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$

As of 20 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 2 inbound Pith citation observations for arXiv:2505.09120.

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

pith.paper-citation-record.v1
2505.09120 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:47:08.396668Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:19:04.562895Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T08:56:03.304605Z

Reference resolution

7 of 7 outbound references displayed

verified exact0
verified fuzzy3
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6438fd3c-9b81-4cc7-bd2d-98eff9c845d4 · outbound

This paper cites The passage among the subcategories of weakly approximable triangulated categories.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ The passage among the subcategories of weakly approximable triangulated categories

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T21:47:08.370573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfbae75a-d6e5-4d36-bab9-412ac680707b · outbound

This paper cites The categories ${\mathcal T}^c$ and ${\mathcal T}^b_c$ determine each other.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ The categories ${\mathcal T}^c$ and ${\mathcal T}^b_c$ determine each other

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T21:47:08.375814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 264773c1-d6de-42c8-9d7b-460e3c25d5b8 · outbound

This paper cites Pure Appl.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ Pure Appl

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:47:08.506369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 28d9e151-6b2b-429c-a868-df0481af64ca · outbound

This paper cites an unresolved cited work.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:47:08.493148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e2089653-a9e7-452c-948e-fd2e8831b1d0 · outbound

This paper cites 2, 239–284.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ 2, 239–284

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:47:08.480752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 48d3908b-539f-454f-9273-39baaa77c74f · outbound

This paper cites an unresolved cited work.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:47:08.468439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b6ce1705-d409-4f3b-93ac-557e8ceca506 · outbound

This paper cites F. Enriques.

Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$ F. Enriques

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:47:08.455149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation a02043f8-9e3e-431e-a24e-9b3af7231f6b · inbound

Strong uniqueness of enhancements for the dual numbers: a case study cites this paper.

Strong uniqueness of enhancements for the dual numbers: a case study Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T21:19:04.562895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da02feff-a8c6-4d4d-861c-13b57c07ebbf · inbound

Finiteness of homological dimensions in triangulated categories cites this paper.

Finiteness of homological dimensions in triangulated categories Excellent metrics on triangulated categories, and the involutivity of the map taking $\mathcal{S}$ to $\mathfrak{S}({\mathcal{S})^{\mathrm{op}}}$

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:56:03.307164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.