Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Decomposition Theorem for Perfectoid Rings along General Ideals
As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2606.06241.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T14:18:11.354143Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T13:38:19.679891Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 7b804087-dda9-4fe9-a6ef-78b70f6ee5d5 · inbound
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring cites this paper.
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Decomposition Theorem for Perfectoid Rings along General Ideals
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T13:38:19.681072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0a02d9fa-c616-47da-a441-9fb5491df931 · inbound
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring cites this paper.
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Decomposition Theorem for Perfectoid Rings along General Ideals
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T14:18:11.354143Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.