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Paper Citation Record · LEDGER

Cohomology Vanishing theorems over some rings containing nilpotents

As of 21 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2504.13566.

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

pith.paper-citation-record.v1
2504.13566 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:18:36.224228Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 291439e5-5296-4260-a832-3d3930857571 · outbound

This paper cites an unresolved cited work.

Cohomology Vanishing theorems over some rings containing nilpotents Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:18:36.693382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.009237Z digest=sha256:2c6c44c9896b8a42d197a26e4e4b1746f31d3f1d38927f8ab26f66ff6408f3ad

Observation ab05c032-ebee-4d97-aa1c-7773df6c0f70 · outbound

This paper cites Hartshorne, Cohomological dimension of algebraic varieties, Ann.

Cohomology Vanishing theorems over some rings containing nilpotents Hartshorne, Cohomological dimension of algebraic varieties, Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:18:36.585916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.032137Z digest=sha256:44b7f972d1fb5ec499d9726a8221af234c0604a5b3e0f0fe341d6c52524f59ef

Observation 2a788ea2-009f-44e6-899c-40060b8f874a · outbound

This paper cites an unresolved cited work.

Cohomology Vanishing theorems over some rings containing nilpotents Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:18:36.532034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.038211Z digest=sha256:00effc0ba1660479f05d8fb9af646fddf30f5fe0e217c9b5e23b86e60efc997f

Observation cd5252d0-e931-4fac-bc62-924ad872a6a3 · outbound

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

Cohomology Vanishing theorems over some rings containing nilpotents Lyubeznik, Finiteness Properties of Local Cohomology Modules (an Application of D-modules to Commutative Algebra), Inv

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T12:18:36.044680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:18:36.044680Z digest=sha256:37a1b209a116e4e136f226704059c463379a540aa650c670f1b925974e4571b4

Observation d974e98f-13aa-4bea-a1fd-4edb3a30212a · outbound

This paper cites Reine Angew.

Cohomology Vanishing theorems over some rings containing nilpotents Reine Angew

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T12:18:36.136352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:18:36.136352Z digest=sha256:83cb94213e2e890538ca2f64026d8056f44fe56144c0693e051c88164b485e3e

Observation 7f5beaf2-3e2d-4bdf-8d47-fe255e54b464 · outbound

This paper cites Ma and W.

Cohomology Vanishing theorems over some rings containing nilpotents Ma and W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:18:36.454686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.141823Z digest=sha256:8af099050a2874d4f6855f714af96eb0c5000962eae973c84b0ca17962faf06d

Observation 7b84a8ab-e003-4d8b-883d-fee17173baaa · outbound

This paper cites an unresolved cited work.

Cohomology Vanishing theorems over some rings containing nilpotents Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:18:36.352065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.148023Z digest=sha256:1ca95797660bb90a11eeb53b815c8b891ea8cc1436499a5959475c7f25bd9821

Observation 906ea44a-7583-41a1-91f9-15eb396c76fa · outbound

This paper cites an unresolved cited work.

Cohomology Vanishing theorems over some rings containing nilpotents Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:18:36.307122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-16T12:18:36.213725Z digest=sha256:1d3c0b48f6e4924a919a7ca441e5e1ce9ab6a49effa087c1b72119bc3a611b66

Observation fb8d32f8-6bcc-482d-bee4-f87cc2ae5c59 · outbound

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

Cohomology Vanishing theorems over some rings containing nilpotents Koszul homology of $F$-finite module and applications

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T12:18:36.224228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:18:36.224228Z digest=sha256:ddc94d5e56e35e71a105d6f1e4b32831d7233204b1b40d27efac19d52b4a906e

Pith citing papers

No inbound Pith citation observations are available.