Paper Citation Record · LEDGER

Toric sheaves and polyhedra

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2412.03476.

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

pith.paper-citation-record.v1
2412.03476 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:30:23.894737Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

23 of 23 outbound references displayed

verified exact2
verified fuzzy18
unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 359edef9-de43-4563-b7bd-5d3026764e53 · outbound

This paper cites Immaculate line bundles on toric varieties.

Toric sheaves and polyhedra Immaculate line bundles on toric varieties

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:27.434745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9a635946-c2ec-42df-9673-b2850288468b · outbound

This paper cites Extensions of toric line bundles.

Toric sheaves and polyhedra Extensions of toric line bundles

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:27.334747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1bac89b3-0b8a-4642-a6f4-7a16dcc00c9b · outbound

This paper cites Displaying the cohomology of toric line bundles.

Toric sheaves and polyhedra Displaying the cohomology of toric line bundles

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T22:30:23.054753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ab690bd-3d84-47e3-92c3-9cedbe88b394 · outbound

This paper cites Intersection cohomology on nonrational polytopes.

Toric sheaves and polyhedra Intersection cohomology on nonrational polytopes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:27.104950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30431973-c8d9-47ea-9a2a-aa962597ea67 · outbound

This paper cites Piecewise polynomial functions, convex polytopes and enumerative geometry.

Toric sheaves and polyhedra Piecewise polynomial functions, convex polytopes and enumerative geometry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.904856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dd4efdb-98ad-4060-854e-1cb30b11a458 · outbound

This paper cites The structure of the polytope algebra.

Toric sheaves and polyhedra The structure of the polytope algebra

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.762485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation da1a5dbe-0698-45e9-a039-e0e6ba2c356e · outbound

This paper cites Toric vector bundles and parliaments of polytopes.

Toric sheaves and polyhedra Toric vector bundles and parliaments of polytopes

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.620747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1697695b-1275-455f-b1d3-d9bc0d2e144c · outbound

This paper cites The coherent-constructible correspondence for toric Deligne - Mumford stacks.

Toric sheaves and polyhedra The coherent-constructible correspondence for toric Deligne - Mumford stacks

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.494745Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d050740-a9d2-434a-beba-bb9e860a2700 · outbound

This paper cites Introduction to toric varieties.

Toric sheaves and polyhedra Introduction to toric varieties

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.344830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 92741689-b999-4b2e-a146-726827c84d3b · outbound

This paper cites Anderson's conjecture and projective modules over monoid algebras.

Toric sheaves and polyhedra Anderson's conjecture and projective modules over monoid algebras

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:26.194822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd7c0b26-0235-4330-a564-bb5f2b75296c · outbound

This paper cites Algebraic geometry.

Toric sheaves and polyhedra Algebraic geometry

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T22:30:23.414840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93f11a5b-634e-4b7f-96b8-e93a9f945d4c · outbound

This paper cites Stable reflexive sheaves.

Toric sheaves and polyhedra Stable reflexive sheaves

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.949550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 968faae2-3e52-4d28-aa2b-d40fba0ffe1d · outbound

This paper cites Cohomology of sheaves , volume 55 of Lect.

Toric sheaves and polyhedra Cohomology of sheaves , volume 55 of Lect

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.775728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9518965-e5af-416d-afc3-69d0876b15cf · outbound

This paper cites Torus-equivariant vector bundles on projective spaces.

Toric sheaves and polyhedra Torus-equivariant vector bundles on projective spaces

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.634770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 88815a6f-2fc1-4df7-81f0-9cb337cf920b · outbound

This paper cites Equivariant bundles on toral varieties.

Toric sheaves and polyhedra Equivariant bundles on toral varieties

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.494744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c3d24442-7a1f-4a05-93f6-e21cc8878562 · outbound

This paper cites Toric vector bundles, valuations and tropical geometry.

Toric sheaves and polyhedra Toric vector bundles, valuations and tropical geometry

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-11T22:30:24.600112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a7f105f-c2bc-4fa0-8149-bf485944d19d · outbound

This paper cites Tropical vector bundles and matroids.

Toric sheaves and polyhedra Tropical vector bundles and matroids

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T22:30:23.697774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62df93bc-a80d-4091-9443-ed5dea54007b · outbound

This paper cites On derived equivalences of categories of sheaves over finite posets.

Toric sheaves and polyhedra On derived equivalences of categories of sheaves over finite posets

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.292612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2160d6c7-d3cc-46d1-9c58-379b8805a76f · outbound

This paper cites Geometric invariant theory.

Toric sheaves and polyhedra Geometric invariant theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:25.114767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 11d0890d-3e7d-4f7b-887d-d2541a38ef29 · outbound

This paper cites Hyperplane Arrangements in the Grassmannian.

Toric sheaves and polyhedra Hyperplane Arrangements in the Grassmannian

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T22:30:24.169858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b785a2cd-8df4-4f2e-a7bc-6d1d3d9b8288 · outbound

This paper cites Vector bundles on complex projective spaces , volume 3 of Prog.

Toric sheaves and polyhedra Vector bundles on complex projective spaces , volume 3 of Prog

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:24.974742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3770300e-f4e1-4c48-be8a-269de4725815 · outbound

This paper cites Enumerative combinatorics.

Toric sheaves and polyhedra Enumerative combinatorics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:24.780644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bcd43997-804b-4e80-b1e9-ec809a077450 · outbound

This paper cites Morse theory and toric vector bundles.

Toric sheaves and polyhedra Morse theory and toric vector bundles

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:30:24.674745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.