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Paper Citation Record · LEDGER

Graded components of local cohomology modules over polynomial rings

As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2411.13090.

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

pith.paper-citation-record.v1
2411.13090 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:08:04.249716Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T04:07:17.567602Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation b126f946-5e08-4f79-9e1d-08ca826288df · outbound

This paper cites Bruns and J.

Graded components of local cohomology modules over polynomial rings Bruns and J

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T17:08:04.214803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:08:04.214803Z digest=sha256:207068261b9f267538ffdeabc20e3d28263c86e03329d16e87413aea4afe5c44

Observation 550a3535-dce6-46fc-be75-f4d9d87a5605 · outbound

This paper cites Lyubeznik, Finiteness Properties of Local Cohomology Modules (an Application of D-modules to Commutative Algebra), Inv.

Graded components of local cohomology modules over polynomial rings Lyubeznik, Finiteness Properties of Local Cohomology Modules (an Application of D-modules to Commutative Algebra), Inv

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:08:04.394248Z

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.

source=arxiv_source observed=2026-08-12T17:08:04.220121Z digest=sha256:38f70cca0930cd8b2340f5f6b5efb1a9b9d92b32bffc7d47aeadb9633572a972

Observation c19031dc-057e-4e0a-92d3-8a8ad296140d · outbound

This paper cites Reine Angew.

Graded components of local cohomology modules over polynomial rings Reine Angew

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:08:04.376433Z

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.

source=arxiv_source observed=2026-08-12T17:08:04.225276Z digest=sha256:9884fad1fec117fee4536335b91b3af4df0cda85cb652e863754e1b659b26cd2

Observation 66ffe07f-be7d-4790-a93a-e49859d40e43 · outbound

This paper cites an unresolved cited work.

Graded components of local cohomology modules over polynomial rings Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:08:04.350351Z

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.

source=arxiv_source observed=2026-08-12T17:08:04.230112Z digest=sha256:75b83d32eb788ce27bfe07733c3875cecdc6d0ca4bbf9472f81fcb016994fe2b

Observation 8d6c0538-cd51-42be-99d4-5829307084a9 · outbound

This paper cites an unresolved cited work.

Graded components of local cohomology modules over polynomial rings Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:08:04.334550Z

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.

source=arxiv_source observed=2026-08-12T17:08:04.235389Z digest=sha256:05b1c599cdc2238a8bd233eeda8320e7a9e5605cd66d2ed3711ab782f0a46a1f

Observation 34312e5c-325c-47d2-b2f4-ae59d6c0008c · outbound

This paper cites Koszul homology of $F$-finite module and applications.

Graded components of local cohomology modules over polynomial rings Koszul homology of $F$-finite module and applications

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T17:08:04.241695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:08:04.241695Z digest=sha256:812d61d665924e3ebb4bacaea9f2692ae6b32bac987f7c801fb5c54e5b228255

Observation 36a7da83-f597-401b-85d2-655f3f60c09b · outbound

This paper cites Schenzel, On the use of local cohomology in algebra and geometry , in, Six lectures on commutative algebra ( B ellaterra, 1996) , Progr.

Graded components of local cohomology modules over polynomial rings Schenzel, On the use of local cohomology in algebra and geometry , in, Six lectures on commutative algebra ( B ellaterra, 1996) , Progr

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:08:04.317149Z

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.

source=arxiv_source observed=2026-08-12T17:08:04.249716Z digest=sha256:b6d65d1a1c8bf43f76c660cb4067d1e904626ecd0577c0a53a454f386b72e502

Pith citing papers

Observation 5c3fb3d8-78bb-4210-919e-c735b58b72ca · inbound

Bass numbers of graded components of local cohomology modules cites this paper.

Bass numbers of graded components of local cohomology modules Graded components of local cohomology modules over polynomial rings

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-13T04:12:13.759896Z

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.

source=pdf_text observed=2026-05-13T04:07:17.567602Z digest=sha256:ccdc9ce7eb44d3b3e409dd208216b8af78a62b6571342917bc6c6e7ebab23b1c