Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:31:30.078400Z
Paper Citation Record · LEDGER
A criterion of Cohen Macaulayness of the form module
As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.07317.
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 2026-08-17T06:30:58.91139+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
13 of 13 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f8333c03-7ba9-4ffe-a0a8-41b2d44e7693 · outbound
This paper cites an unresolved cited work.
A criterion of Cohen Macaulayness of the form module Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:31:30.433486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e03cc280-00a6-4fc4-b408-f70043fbfd62 · outbound
This paper cites Brodmann, R.
A criterion of Cohen Macaulayness of the form module Brodmann, R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.414636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5ce7b166-10a9-4372-b09c-619653df8630 · outbound
This paper cites Bruns, J.
A criterion of Cohen Macaulayness of the form module Bruns, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.388544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 687d65f8-850b-4252-9d20-564878f12b44 · outbound
This paper cites G ˆoto, K.-i.
A criterion of Cohen Macaulayness of the form module G ˆoto, K.-i
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.358659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0631277c-5f40-448d-a45d-3ba9238f8def · outbound
This paper cites Grothendieck: ‘Local cohomology’, Notes by R.
A criterion of Cohen Macaulayness of the form module Grothendieck: ‘Local cohomology’, Notes by R
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.338409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3740b7e8-bb34-4a80-8e51-39a8ce926fff · outbound
This paper cites an unresolved cited work.
A criterion of Cohen Macaulayness of the form module Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:31:30.313385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ac0bab6e-e66e-4125-80dd-9c25a16925c8 · outbound
This paper cites an unresolved cited work.
A criterion of Cohen Macaulayness of the form module Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:31:30.289715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ae7508cc-e57d-402a-bbe0-92e3a14007fd · outbound
This paper cites Matsumura: ‘Commutative Ring Theory’, Cambridge Univ.
A criterion of Cohen Macaulayness of the form module Matsumura: ‘Commutative Ring Theory’, Cambridge Univ
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.265142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b2a484b8-4c28-4560-a8ee-0b5ee1e98740 · outbound
This paper cites Schenzel: On the use of local cohomology in algebra and geometry.
A criterion of Cohen Macaulayness of the form module Schenzel: On the use of local cohomology in algebra and geometry
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.242208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8c282078-d5f8-4f97-945b-72f70befd537 · outbound
This paper cites Sw anson, C.
A criterion of Cohen Macaulayness of the form module Sw anson, C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.219417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7dde3a4c-0e9c-47e6-a219-bc29f75ef705 · outbound
This paper cites V alabrega, G.
A criterion of Cohen Macaulayness of the form module V alabrega, G
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.196429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 483f7e43-6c5f-4477-a56e-919efabd64b6 · outbound
This paper cites V alla: Hilbert functions of graded algebras , in: J.
A criterion of Cohen Macaulayness of the form module V alla: Hilbert functions of graded algebras , in: J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.174963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9067e462-1b53-427d-bd6a-400855285268 · outbound
This paper cites Weibel: ‘An introduction to homological algebra’, Cambridge Univ.
A criterion of Cohen Macaulayness of the form module Weibel: ‘An introduction to homological algebra’, Cambridge Univ
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:31:30.144100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.