Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:19:25.653001Z
Paper Citation Record · LEDGER
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves
As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2509.08144.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T16:32:20.499768Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T21:36:15.800308Z
Reference resolution
32 of 32 outbound references displayed
- verified exact4
- verified fuzzy25
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4ea5abc1-bd41-4db7-b09d-7ec5793dadd6 · outbound
This paper cites Slope filtrations.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Slope filtrations
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.263718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9582665d-70a1-4715-9a17-4c5b78f781ff · outbound
This paper cites Vectors of matroids over tracts.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Vectors of matroids over tracts
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.249855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c7dc4757-4d31-424f-88a9-5384487c6b90 · outbound
This paper cites Matroids over partial hyperstructures.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Matroids over partial hyperstructures
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.231350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 895b691e-b9e9-46da-89f2-8682b481fd7e · outbound
This paper cites Axioms for infinite matroids.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Axioms for infinite matroids
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.216361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 879b8ed2-65dc-4ef6-8c2a-9b8f0920307e · outbound
This paper cites New building blocks for F _1 -geometry: B ands and band schemes.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves New building blocks for F _1 -geometry: B ands and band schemes
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.202232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4bb5c547-6598-4d9c-baa2-490784613652 · outbound
This paper cites The moduli space of matroids.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves The moduli space of matroids
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.184945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8101550c-3c42-4ce0-84e7-cf64a87dcd37 · outbound
This paper cites Higher Segal Spaces , volume 2244.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Higher Segal Spaces , volume 2244
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.165239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c5dc0a67-5a2c-46d4-b315-876ba36e4ab5 · outbound
This paper cites Grassmann- P l \"u cker relations and matroids with coefficients.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Grassmann- P l \"u cker relations and matroids with coefficients
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.147502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3943883c-9f97-49bb-b7ab-ef287e690434 · outbound
This paper cites On infinite matroids with strong maps: Proto-exactness and finiteness conditions.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves On infinite matroids with strong maps: Proto-exactness and finiteness conditions
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.132905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cb0d7e1c-96c6-4aac-9575-135760b8b9cc · outbound
This paper cites Hopf algebras for matroids over hyperfields.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Hopf algebras for matroids over hyperfields
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.118439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 79bdd481-f96b-4645-b8c3-0bab16f2bd20 · outbound
This paper cites Proto-exact categories of matroids, H all algebras, and K -theory.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Proto-exact categories of matroids, H all algebras, and K -theory
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.106699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ecef440c-52aa-4b10-bc89-bb6f110e1a69 · outbound
This paper cites Group completion in the K -theory and G rothendieck-- W itt theory of proto-exact categories.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Group completion in the K -theory and G rothendieck-- W itt theory of proto-exact categories
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.090872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 541ca8c5-e9b8-4c99-bc9b-7064252ddd89 · outbound
This paper cites The category of matroids.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves The category of matroids
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.075449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1d08828f-423c-4210-9cdb-b5861bcbd32c · outbound
This paper cites Tropical Quiver Grassmannians.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Tropical Quiver Grassmannians
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T21:19:24.359216Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02cc7f34-1621-413c-a5c3-5e29ac887180 · outbound
This paper cites Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T21:19:24.428409Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c21f5f4-94dd-4253-bfee-0d523d660b5e · outbound
This paper cites On quiver representations over F _1.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves On quiver representations over F _1
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.058388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ef781d8b-bb22-4092-9fef-6c9b9b360810 · outbound
This paper cites Coefficient quivers, F _1 -representations, and E uler characteristics of quiver G rassmannians.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Coefficient quivers, F _1 -representations, and E uler characteristics of quiver G rassmannians
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.043913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5ed7740d-e1dd-4637-95bd-2e46166b029d · outbound
This paper cites Hall L ie algebras of toric monoid schemes.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Hall L ie algebras of toric monoid schemes
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.029665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e661d2be-241f-42c1-bd53-34b9d9475e6e · outbound
This paper cites Proto-exact categories of modules over semirings and hyperrings.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Proto-exact categories of modules over semirings and hyperrings
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:26.008239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 05278c31-1414-4fa1-9533-53c7565f1006 · outbound
This paper cites Tropical toric geometry.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Tropical toric geometry
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.994561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ad4e00f7-e297-483a-94a1-3a4a074a8c40 · outbound
This paper cites Eisenstein series and quantum affine algebras.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Eisenstein series and quantum affine algebras
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.979632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b8fbc351-1f09-4747-80a7-8f6d220e6968 · outbound
This paper cites Equivariant vector bundles on toral varieties.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Equivariant vector bundles on toral varieties
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.966058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 41d6fe0f-a80c-481b-bd8a-4ea39c8a89a9 · outbound
This paper cites Tropical vector bundles and matroids.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Tropical vector bundles and matroids
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T21:19:25.824808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b7fe4e37-d628-41a6-8d2b-e5286d501aa6 · outbound
This paper cites Tropical Vector Bundles.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Tropical Vector Bundles
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T21:19:25.803046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 70b6215b-b4f0-40ab-8e75-405c560ab54d · outbound
This paper cites Categorification of H arder-- N arasimhan theory via slope functions valued in totally ordered sets.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Categorification of H arder-- N arasimhan theory via slope functions valued in totally ordered sets
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.948700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3c6136ed-4464-4f03-bdbc-660617add288 · outbound
This paper cites Proto-exact and parabelian categories.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Proto-exact and parabelian categories
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T21:19:25.776785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 15c3d687-1123-42b7-9d8a-a9b0644c8ead · outbound
This paper cites Matroid theory , volume 3.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Matroid theory , volume 3
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.935176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b6231cff-9107-4ab4-b9ce-9af4c7270aca · outbound
This paper cites Analytification is the limit of all tropicalizations.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Analytification is the limit of all tropicalizations
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.919454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1e41b553-298d-4e05-9171-b1e3a35b6215 · outbound
This paper cites The H arder- N arasimhan system in quantum groups and cohomology of quiver moduli.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves The H arder- N arasimhan system in quantum groups and cohomology of quiver moduli
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.899314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4ce2b967-4fea-4611-9aaa-22c0fe9e76f8 · outbound
This paper cites Stability for an abelian category.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Stability for an abelian category
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T21:19:25.881497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c245986d-12bc-4fb2-b0d4-1841babff599 · outbound
This paper cites Lectures on Hall algebras.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves Lectures on Hall algebras
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T21:19:25.648214Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dfdfc589-dd6e-4002-a90b-dfcdd0d0252a · outbound
This paper cites On Semisimple Proto-Abelian Categories Associated to Inverse Monoids.
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves On Semisimple Proto-Abelian Categories Associated to Inverse Monoids
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T21:19:25.713821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation 146a7d6b-318e-4f66-9c0e-0558193ae619 · inbound
On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness cites this paper.
On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T21:36:15.802116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.