Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T18:04:46.275325Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.08423.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T18:04:46.275325Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
28 of 28 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8bc7605e-b725-4146-9b6a-5f59a40600cc · outbound
On the injective dimension of unit Cartier and Frobenius modules Alvarez-Montaner, M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 48e5727e-c2e7-466c-8fc9-ad4b6de206e5 · outbound
On the injective dimension of unit Cartier and Frobenius modules Bhatt, M
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5b5f75a6-04e0-4a17-bcd6-8d5fa9091129 · outbound
On the injective dimension of unit Cartier and Frobenius modules Bhatt, J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 60ae1335-1ede-4d77-b962-fa1bccfda10f · outbound
On the injective dimension of unit Cartier and Frobenius modules Blickle : The D -module structure of R[F] -modules , Trans
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1fb70a7-ac01-43a1-add9-bcd61f864d26 · outbound
On the injective dimension of unit Cartier and Frobenius modules Blickle : Minimal --sheaves, Algebra and Number Theory 2 (2008), no
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 265a15e6-cb4e-4342-b720-27c564ae4d9a · outbound
On the injective dimension of unit Cartier and Frobenius modules Blickle and G
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d4b956b2-7d4e-4fa4-a1aa-18bcef2f05a9 · outbound
On the injective dimension of unit Cartier and Frobenius modules Cartier Crystals
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5e0724ae-dc13-476e-9013-7c52b2f2131c · outbound
On the injective dimension of unit Cartier and Frobenius modules Cartier Crystals have finite global dimension
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe85e89d-1e87-40ac-8008-87db39ed03b2 · outbound
On the injective dimension of unit Cartier and Frobenius modules Bhatt, M
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3a788a59-fe62-49a0-8521-723bf92405ed · outbound
On the injective dimension of unit Cartier and Frobenius modules Emerton and M
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1b6a681e-a7ae-40cb-bae3-b5f212b5daf3 · outbound
On the injective dimension of unit Cartier and Frobenius modules Gabber : Notes on some t -structures , Geometric aspects of D work theory
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 68f2e301-3f49-4d75-83fc-aea0fff36222 · outbound
On the injective dimension of unit Cartier and Frobenius modules Hartshorne and R
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c01913fa-f98e-458d-8509-d28c20f00b20 · outbound
On the injective dimension of unit Cartier and Frobenius modules Hochster : Some finiteness properties of L yubeznik's F -modules , Algebra, geometry and their interactions, Contemp
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 254431a1-2afc-4191-aced-c3cbc9c9a850 · outbound
On the injective dimension of unit Cartier and Frobenius modules Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b4ca616c-a84d-452a-a135-3716698984b6 · outbound
On the injective dimension of unit Cartier and Frobenius modules Katzman, L
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 961ca978-b9a2-4e07-829c-07e0bcd4dd18 · outbound
On the injective dimension of unit Cartier and Frobenius modules Katzman and W
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0e8b2c41-7ffb-42c0-bdb0-428bf558454d · outbound
On the injective dimension of unit Cartier and Frobenius modules Kunz : Characterizations of regular local rings for characteristic p , Amer
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 81fb21c2-675e-4f9f-a4a8-4a7e19cd6a12 · outbound
On the injective dimension of unit Cartier and Frobenius modules Lyubeznik : F -modules: applications to local cohomology and D -modules in characteristic p>0 , J
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 93992295-6c50-4421-bd4f-ba6585cdd978 · outbound
On the injective dimension of unit Cartier and Frobenius modules Lyubeznik : On some local cohomology invariants of local rings, Math
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5ed04478-4115-431a-a884-5daa2687cb45 · outbound
On the injective dimension of unit Cartier and Frobenius modules Lyubeznik : On the vanishing of local cohomology in characteristic p>0 , Compos
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c3eeee80-4db9-42cb-9969-d2a6f15d24b6 · outbound
On the injective dimension of unit Cartier and Frobenius modules Lyubeznik, A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 58125f0a-d7ca-4616-87d4-3dfa0e1094c4 · outbound
On the injective dimension of unit Cartier and Frobenius modules Ma : The category of F -modules has finite global dimension , J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb293649-a048-4288-913e-f7c1c738c9b8 · outbound
On the injective dimension of unit Cartier and Frobenius modules Ma and W
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9779b0a3-d1ce-4275-88f8-cabc4178e573 · outbound
On the injective dimension of unit Cartier and Frobenius modules Peskine and L
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 386a25b9-690c-41ff-b9db-f5a75a8a0f41 · outbound
On the injective dimension of unit Cartier and Frobenius modules Switala and W
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation afcad804-8973-4c25-8d5e-16c1a9d170ef · outbound
On the injective dimension of unit Cartier and Frobenius modules Zhang : Lyubeznik numbers of projective schemes, Adv
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6e3a2eeb-858c-4389-bb91-2c163196aa50 · outbound
On the injective dimension of unit Cartier and Frobenius modules Zhang : On injective dimension of F -finite F -modules and holonomic D -modules , Bull
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 728f3fa6-d348-4a9d-a0ab-f24e4a93b454 · outbound
On the injective dimension of unit Cartier and Frobenius modules Zhang : F^e -modules with applications to D -modules , J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.