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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=sha256:027312142b1e09c0115fbcdafbcf541649243877569e1057066772839da2ae3f

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=sha256:6cf7b26605aaff267e1472fedc8101252bb6d60288971e16b4aba68339e30a4d

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=sha256:95c5f5379e64a6a57dfc474ee315267bb46f84033c19a1a6ee4eafca01664f6d

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=sha256:8d1ae77a99d0b25c7dcfa2174e15acf9577fa69acd2612b62a7c6dc26e474d27

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=sha256:3eadcfaaee76fda010fa931762190de6eb6d1cf50be4edb74a852a21b0f51045

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=sha256:3ec647822770020136b70434edef2ead2c8b2962d28946a930666d1e4239c8e6

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=sha256:951b8445826b8cfbf385b8e55a393e181267144b05222d4bb76a13580b461888

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=sha256:1ec8cbd22a6c1ad4446f610b786aa57a92928f047a13fe7658739b1cdadcc9cc

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:f74cf773fc0ef01c35c84ca0f4dc1784821d8bf303f540ae9ead46889511e4a2

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=sha256:21a7a0f018614310f643bd6d2f783d5a1310875f529491208710486ef0243884

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:b3ebaba9b2c8679c9e3458663a7d12c0c605fbd1705b4488a7f5eba87d72cec1

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:a8697404cd658098365ded7cd107e3367725a83dbc13ceeb98805243918a6f8a

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:ac0d4e16caf05002468c4b20bf1c1bae3fb3f8996a620d08f9626309f1f5d0bb

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=sha256:9e1f8596cd81baac4103d7dc58687ec5004002cbd99023cdfd16e3c4e52e0c45

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=sha256:377269e46a56cd40d6c4f832eeb040cd92efea9811ae0efd28f2724675316733

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=sha256:85f1874bea3c7f4a7a22110c4b8816d4aef4386970392c23b9c1e3bc65b850b6

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=sha256:061a8857efd45dd7c267f1899aab34b953ddb667ab9bd7fe714113a1ca695cb9

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:e9e6c60cec63c591a245d2fb2dca5330da62dfbcae7cf5c97cea7f448a3239ab

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=sha256:893994355dae2b5af2500970068b29d2a15b883ef66df330a24bf7ce5f2b68f5

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=sha256:5adb51bb3771cd281ba383bf73084361eb4c87d75b5eb937c18900c91266613e

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:aaf0de26998a57e3d9b753c4c1e5c45947020fc68d77ad76d1133a5fd849d554

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=sha256:8ec70c376a5903fbe125c84a8ab34bfe23e4b432a2e03e03ced8b3723bc7aaf4

Pith citing papers

No inbound Pith citation observations are available.