Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-29T14:16:48.820145Z
Paper Citation Record · LEDGER
Regular rings and perfectoid towers
As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2605.27337.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact2
- verified fuzzy0
- unresolved22
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 85031c17-a1e0-4fcb-a952-b9bf1231d287 · outbound
This paper cites an unresolved cited work.
Regular rings and perfectoid towers Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation acc474eb-dfa3-4a17-ab89-c05827f49f47 · outbound
This paper cites Alper, Adequate moduli spaces and geometrically reductive group schemes, Algebr.\ Geom.\ 1(4), (2014), 489--531.
Regular rings and perfectoid towers Alper, Adequate moduli spaces and geometrically reductive group schemes, Algebr.\ Geom.\ 1(4), (2014), 489--531
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ec17ea7-170d-4054-a3d3-53cd8de11dbe · outbound
This paper cites Barshay, Graded algebras of powers of ideals generated by A -sequences, J.\ Algebra 25, (1973), 90--99.
Regular rings and perfectoid towers Barshay, Graded algebras of powers of ideals generated by A -sequences, J.\ Algebra 25, (1973), 90--99
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14247395-7046-4e52-a8bf-3edbc4e3d27d · outbound
This paper cites Bhatt, On the direct summand conjecture and its derived variant, Invent.\ Math.\ 212(2), (2018), 297--317.
Regular rings and perfectoid towers Bhatt, On the direct summand conjecture and its derived variant, Invent.\ Math.\ 212(2), (2018), 297--317
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b4e02f4-7476-4f62-b7b5-3a4e1a99b7c2 · outbound
This paper cites Bhatt, S.
Regular rings and perfectoid towers Bhatt, S
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28f1c4c2-ae34-46ec-9935-96fb3420a647 · outbound
This paper cites Bourbaki, Elements of mathematics.
Regular rings and perfectoid towers Bourbaki, Elements of mathematics
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9be6cac6-8d46-46fc-b8a0-7c8a0a7a85f3 · outbound
This paper cites Christensen, S.
Regular rings and perfectoid towers Christensen, S
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b76b2f0-0bcc-45ea-94f3-e2469c259b94 · outbound
This paper cites Fujiwara, F.
Regular rings and perfectoid towers Fujiwara, F
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee2afd2e-f86a-4827-bd76-934426dc5d71 · outbound
This paper cites Gabber, L.
Regular rings and perfectoid towers Gabber, L
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97e1a2ac-3559-48d0-b6f1-28b1c4a68d41 · outbound
This paper cites Gabber, L.
Regular rings and perfectoid towers Gabber, L
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22da9715-b2ff-4496-9808-0303ae2ffd65 · outbound
This paper cites Hayashi, Structural properties and tilting correspondences of perfectoid towers, in preparation.
Regular rings and perfectoid towers Hayashi, Structural properties and tilting correspondences of perfectoid towers, in preparation
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff7a58a4-f5ed-4e1d-a8d5-7bab43b84c01 · outbound
This paper cites Hayashi, A characterization of perfectoid towers in terms of conormal cones, in preparation.
Regular rings and perfectoid towers Hayashi, A characterization of perfectoid towers in terms of conormal cones, in preparation
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad6a2e0c-d1ac-43ca-ae7a-6c04e0d42216 · outbound
This paper cites Hayashi, S.
Regular rings and perfectoid towers Hayashi, S
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T14:23:30.724149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0696c409-bfd3-40df-baec-2bbf17ae7a03 · outbound
This paper cites Hochster, C.
Regular rings and perfectoid towers Hochster, C
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c6be31a-9323-4d08-a48e-aecefdede566 · outbound
This paper cites Ishiro, K.
Regular rings and perfectoid towers Ishiro, K
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6190bb3e-dca3-4b54-84db-24fdc826e2b1 · outbound
This paper cites {\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences.
Regular rings and perfectoid towers {\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-06-29T14:23:30.726585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e74b7aee-edbd-4256-b215-4c0e5f1f4f98 · outbound
This paper cites Ishizuka, Perfectoid towers generated from prisms, Nagoya Math.\ J.\ 261, e17 (2026).
Regular rings and perfectoid towers Ishizuka, Perfectoid towers generated from prisms, Nagoya Math.\ J.\ 261, e17 (2026)
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c2da577-f512-4b88-8bee-9dd4aac98644 · outbound
This paper cites Ishizuka, K.
Regular rings and perfectoid towers Ishizuka, K
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d8ceddc-fa43-4715-a4b0-fc47f1ae49b1 · outbound
This paper cites Kunz, On noetherian rings of characteristic p , Amer.\ J.\ Math.\ 98, (1976), 999--1013.
Regular rings and perfectoid towers Kunz, On noetherian rings of characteristic p , Amer.\ J.\ Math.\ 98, (1976), 999--1013
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 289bf006-1d7c-4b8a-ab97-27187d13603f · outbound
This paper cites an unresolved cited work.
Regular rings and perfectoid towers Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbf37708-6c33-4aed-b8ba-28eb18ed2414 · outbound
This paper cites Matsumura, Commutative ring theory.
Regular rings and perfectoid towers Matsumura, Commutative ring theory
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23d8d07c-68c5-4f26-8888-a2e58c7d952a · outbound
This paper cites Nakazato, A study on Fontaine's perfectoid rings and their algebraizations, (2020), Thesis (Ph.D.), Nagoya Univ., Nagoya, Japan.
Regular rings and perfectoid towers Nakazato, A study on Fontaine's perfectoid rings and their algebraizations, (2020), Thesis (Ph.D.), Nagoya Univ., Nagoya, Japan
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b0c7ec5-9635-485e-baf9-5b8ba0014754 · outbound
This paper cites Schenzel, Proregular sequences, local cohomology, and completion, Math.\ Scand.\ 92(2), 161--180.
Regular rings and perfectoid towers Schenzel, Proregular sequences, local cohomology, and completion, Math.\ Scand.\ 92(2), 161--180
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2917646-8889-48ed-b4f7-60bf8acef4b2 · outbound
This paper cites an unresolved cited work.
Regular rings and perfectoid towers Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-06-29T14:16:48.820145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.