Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:05:19.543826Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2505.22835.
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 2026-08-07T13:05:19.543826Z
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
9 of 9 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4830373d-f4cd-4d91-ae9d-513714e58644 · outbound
Computing higher direct images in Macaulay2 A characterization of toric varieties in characteristic p
Reference 1
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 62864e22-2240-485a-93a8-dd3d21595064 · outbound
Computing higher direct images in Macaulay2 Ballard, Christine Berkesch, Michael K
Reference 2
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 f423ea07-0a05-4a08-876f-5258be3687a8 · outbound
Computing higher direct images in Macaulay2 Derived categories of toric varieties
Reference 3
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 761712e8-6068-48ab-b7ef-57ca926ef685 · outbound
Computing higher direct images in Macaulay2 Cox, John B
Reference 4
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 af88ace3-1e4a-4cee-ba90-0e5130bdd78d · outbound
Computing higher direct images in Macaulay2 Relative Beilinson monad and direct image for families of coherent sheaves
Reference 5
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 45581152-7e86-4a7c-bef0-45f7ed79dfc0 · outbound
Computing higher direct images in Macaulay2 Residues and duality, volume No
Reference 6
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 fee00248-3ad1-4078-b22a-6095896ddb9f · outbound
Computing higher direct images in Macaulay2 Algebraic Geometry
Reference 7
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 d8e073e5-3dc4-4d9e-ae47-a52fa8d131cf · outbound
Computing higher direct images in Macaulay2 Reduced \v{C}ech complexes and computing higher direct images under toric maps
Reference 8
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 98c90754-0368-4e2c-83d2-26ce4bcb81f5 · outbound
Computing higher direct images in Macaulay2 Frobenius direct images of line bundles on toric varieties
Reference 9
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.
No inbound Pith citation observations are available.