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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 2026-08-12T06:34:41.77262+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
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:22.945673Z digest=sha256:8dbdfd7b1af5df72f6a089cf8c6fcfe1084043e8f96214bd9e204e9273bdf75a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:22.994747Z digest=sha256:74f2b9933212d2f3d04e26cd7a176b63634a72955cc899e8090314a61c6dd1b7

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.

source=arxiv_source observed=2026-08-11T22:30:23.054753Z digest=sha256:07a65be6133f033fb16876f9d5b1efacafb4e4c0a4926f2d0ffe51a0aca7ce09

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.085081Z digest=sha256:c91f323b0bbe23515a790b4272c032a1a80d7dfbbbbf7616e2eaf4b1819e9dc0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.124744Z digest=sha256:c437e75d80649a8db3deeef1035a0ab6d36da528d3e288cdd6fc93718d6a715a

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.224741Z digest=sha256:224a70f3b1bd3c70d2c133106ddcd8ff2b0176cdb973e728ed7d20c5aae7c733

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

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=2026-08-11T22:30:23.274749Z digest=sha256:1cc9f928b8a39a09d33e73ba3310c4e0561af292005c719b0a268e6af4c335eb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.324748Z digest=sha256:fae8fc8989b229811f061bd5a95c583989833231a998689152091fe3c82113c5

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.375024Z digest=sha256:1cb9dade656886f3643e798956d00a714d56287f272c253291454fbb40432f43

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.

source=arxiv_source observed=2026-08-11T22:30:23.414840Z digest=sha256:4bde23a96cf777ae6197bbc72f26254bb4f224a65889ddd75ceb367d4cc5b4f0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.464747Z digest=sha256:340d05725d834d67b8c628ee058c1b2a81213aa38ad38fde0f2023512ca5023d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.522403Z digest=sha256:f285252341e0d8afb36a4b132e866598390d37860c595ce7624659660b977aab

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.574767Z digest=sha256:aa6fca68f08bc5b908f3c4e5ab1f48923f442569f8d9b86ac389df6cf8a456fd

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.624747Z digest=sha256:aabf3079af3dbe3744606d8352711e7127a4b757e80c85be9d27655d412600ad

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.658792Z digest=sha256:89996018a952c20ee29a82042c9b3a7ae1e2c72817003bcc9736268ed449f2a8

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.

source=arxiv_source observed=2026-08-11T22:30:23.697774Z digest=sha256:26f0afb70131e9fec397bdf6cc2f4b93f2811dce6d21f19c6c87c0c4fac13321

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.710191Z digest=sha256:35e704e6d26217a4f1e4fd2756855cead88d2669f96550e366c5f2918750dab6

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.715400Z digest=sha256:13abf3fe46bc93f6943bb2fd0b676933e4400e25e4e91b0f5e002e7e0f88a0da

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.744732Z digest=sha256:54ffd65a673159bcb305caf215d1d48d53a4c54fdb991580ec5d055d439dfc1d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.784736Z digest=sha256:e97b793071ae048991dc5606702533d4804c6a8e54abb92ab3e134bc69e3787c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.834747Z digest=sha256:ca18cf04cc8b662ac5b1af1c1065616a062121eb653abe0c047df74ffa3c9d79

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:30:23.894737Z digest=sha256:8cb4e147237515553fcc3f5f0cb3d8993043cdbcf9dae324b6a1200a7f24ad99

Pith citing papers

No inbound Pith citation observations are available.