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Paper Citation Record · LEDGER

The external activity complex of a pair of matroids

As of 12 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2412.11759.

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

pith.paper-citation-record.v1
2412.11759 v2

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:45:41.258069Z

measured 64 of 64 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T00:51:47.712194Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact2
  • verified fuzzy40
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 74ba60c4-b1d3-48ad-a838-7c40e14b81c1 · outbound

This paper cites The closure of a linear space in a product of lines.

The external activity complex of a pair of matroids The closure of a linear space in a product of lines

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.407687Z

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=2026-08-11T14:45:40.940614Z digest=sha256:ee5f0625aad4acb0def6f82215a08835eca0edf9bf1a1fdb09b2dc0e9f1fd076

Observation 74e456da-c4f4-4e18-b654-58cf64f4fbd1 · outbound

This paper cites The topology of the external activity complex of a matroid.

The external activity complex of a pair of matroids The topology of the external activity complex of a matroid

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.391253Z

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=2026-08-11T14:45:40.946439Z digest=sha256:684df423668206c596d6e194056783733e758ff5633ce58851b01a6bed2160a7

Observation 2d89621b-8e89-4b1a-898f-bdd5c3efb189 · outbound

This paper cites Hodge theory for combinatorial geometries.

The external activity complex of a pair of matroids Hodge theory for combinatorial geometries

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:40.951891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:40.951891Z digest=sha256:9022a6b1bf1ce6637a33b82dd60d0026a390c128f108df8d1d9dd8d97d66921c

Observation 9aba87da-df44-46b3-925a-a6ba2a763b17 · outbound

This paper cites The tropical critical points of an affine matroid.

The external activity complex of a pair of matroids The tropical critical points of an affine matroid

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.363295Z

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=2026-08-11T14:45:40.957237Z digest=sha256:125356d870ad3a877ce1fef4c5188690afea99b6ef2295e799e511440a6c8497

Observation afe146c8-0665-41d3-a2b0-510ab8aacb99 · outbound

This paper cites Extremal B etti numbers and applications to monomial ideals.

The external activity complex of a pair of matroids Extremal B etti numbers and applications to monomial ideals

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.346553Z

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=2026-08-11T14:45:40.962630Z digest=sha256:527b2a7d7bebb289d69dfc8b4c650496217843c9735bc3f80776d7228851be18

Observation 225ba11e-032c-4e25-be56-a5d8af2eb0bc · outbound

This paper cites Tautological classes of matroids.

The external activity complex of a pair of matroids Tautological classes of matroids

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.328929Z

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=2026-08-11T14:45:40.968356Z digest=sha256:e3bb643675a9c3180b8f10220d29d518d30b41686f3ba6b30bebb0585f49025d

Observation c9fdb25f-d988-4b5a-8484-d33d24c43b5e · outbound

This paper cites Equivariant C how classes of matrix orbit closures.

The external activity complex of a pair of matroids Equivariant C how classes of matrix orbit closures

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.311581Z

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=2026-08-11T14:45:40.974358Z digest=sha256:c1e0bb0beeb9b1503629c19a3adb4fb823d032f6878ffc18c63b1f6648e23f7c

Observation 0a940b22-1636-4649-84eb-2b8b73482f87 · outbound

This paper cites Matrix orbit closures.

The external activity complex of a pair of matroids Matrix orbit closures

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.295158Z

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=2026-08-11T14:45:40.979261Z digest=sha256:40cd512201d4c179b8cd3ec9b92db16583f37430d60d18b984a50abb3bedeacc

Observation 6b3a9d45-07f0-4871-9450-812b398109d5 · outbound

This paper cites Equivariant K -theory classes of matrix orbit closures.

The external activity complex of a pair of matroids Equivariant K -theory classes of matrix orbit closures

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.278369Z

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=2026-08-11T14:45:40.984359Z digest=sha256:267de273688d6b0ee97370fed873f394ff0512ed602b5fcdb962bcd461d7db46

Observation 6ad66511-1d59-4a31-a21f-358ec04ae192 · outbound

This paper cites Euler integration over definable functions.

The external activity complex of a pair of matroids Euler integration over definable functions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.260771Z

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=2026-08-11T14:45:40.989841Z digest=sha256:f5e7ef23de3c25096b99d85ad142790364d66a812fe67af489a3a00db3011cf0

Observation 82f9d07e-9b12-4267-b7ea-f83a3f6df223 · outbound

This paper cites Singular Hodge theory for combinatorial geometries.

The external activity complex of a pair of matroids Singular Hodge theory for combinatorial geometries

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:40.994889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:40.994889Z digest=sha256:c3339adc9361ed0089a7fa7f468c44dd2a064e2c8b0eabf2ffb15899dc009a3f

Observation cb3ee131-0f7a-41f1-83c5-c2873e8b4ba1 · outbound

This paper cites The augmented external activity complex of a matroid, 2024.

The external activity complex of a pair of matroids The augmented external activity complex of a matroid, 2024

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.243995Z

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=2026-08-11T14:45:41.000922Z digest=sha256:cd1e7679f66a300f456ce0867aaaf7ce642b5331546382dd43b487ab3db760e7

Observation 1c13f7f1-0ca6-4d71-bc1c-5a9cc2da5348 · outbound

This paper cites On orbit closures of spherical subgroups in flag varieties.

The external activity complex of a pair of matroids On orbit closures of spherical subgroups in flag varieties

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.227014Z

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=2026-08-11T14:45:41.006445Z digest=sha256:1a02432bb703b1248b329c52fc78d12d8788458eed7bdaa167267b68689a5f35

Observation 008d7f63-7e3d-4739-a823-dfbf4ef8d8f7 · outbound

This paper cites Positivity in the G rothendieck group of complex flag varieties.

The external activity complex of a pair of matroids Positivity in the G rothendieck group of complex flag varieties

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.209734Z

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=2026-08-11T14:45:41.011504Z digest=sha256:e231102f8774ee00dd443a117c73922a4facc92a1239e226480a52cf0e3947dc

Observation 31e14491-3ca4-40cb-9a79-6a09272a3d04 · outbound

This paper cites Multiplicity-free subvarieties of flag varieties.

The external activity complex of a pair of matroids Multiplicity-free subvarieties of flag varieties

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.189929Z

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=2026-08-11T14:45:41.016671Z digest=sha256:e9fbad71893ef734d0ce9c1ab1cb94ddf088573cc91211a1b5c686a8766d1ab4

Observation cf275e0c-af73-4866-a5e9-4be2d7b8e81b · outbound

This paper cites Log-concavity of matroid h -vectors and mixed E ulerian numbers.

The external activity complex of a pair of matroids Log-concavity of matroid h -vectors and mixed E ulerian numbers

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.171274Z

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=2026-08-11T14:45:41.021579Z digest=sha256:7abfdd90aae851e69ee78863ceb5d57040f25d573e14db0cd0151646f2b9431b

Observation 4c9bbc6c-1f32-40ea-933a-f9d235b806b7 · outbound

This paper cites Cartwright- S turmfels ideals associated to graphs and linear spaces.

The external activity complex of a pair of matroids Cartwright- S turmfels ideals associated to graphs and linear spaces

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.153403Z

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=2026-08-11T14:45:41.026450Z digest=sha256:c95e6b0975077eeb8f480384a20566e3382f8fa575f7d868fbdf0fa8c7b74ec6

Observation d5d3265d-8b75-499d-bcbb-97b88df903ee · outbound

This paper cites Universal G r\" o bner bases and C artwright- S turmfels ideals.

The external activity complex of a pair of matroids Universal G r\" o bner bases and C artwright- S turmfels ideals

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.134321Z

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=2026-08-11T14:45:41.031861Z digest=sha256:1f25825afe0915ab079c1f4a55487b9f20341217c54f5a125972484b51d61fd7

Observation fa5028c1-2994-441f-a065-ae09df7d0aba · outbound

This paper cites Tsakiris.

The external activity complex of a pair of matroids Tsakiris

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.116415Z

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=2026-08-11T14:45:41.036996Z digest=sha256:20ee94287ef75f9d30e15cbdb2d5664277bd484ad276cdfb197d0395e7a9c566

Observation 2fc265c8-1703-454f-b326-02c63224d6ca · outbound

This paper cites Higher-dimensional algebraic geometry.

The external activity complex of a pair of matroids Higher-dimensional algebraic geometry

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.042527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.042527Z digest=sha256:50a3df1b40f023744520d6c581fdb05303027acda86da62e25520d4d42ca5172

Observation eee473dc-9327-41b0-b27e-e6a2fcda9e9c · outbound

This paper cites Valuative invariants for polymatroids.

The external activity complex of a pair of matroids Valuative invariants for polymatroids

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.047800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.047800Z digest=sha256:350a9edefa8333b1d306025dfce5404bcbd23841398848caaa93fe61e5626fae

Observation 2cf09762-3eca-4dc7-ade3-83582629b457 · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:42.076773Z

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=2026-08-11T14:45:41.053028Z digest=sha256:df68d83d0a8e8d7201348ec8cf02c28134fb9696b43c85a891bd4ec8f89adde3

Observation 6cd7b9d6-88c7-4389-92af-f2d6f6b6ac8e · outbound

This paper cites Tropical convexity.

The external activity complex of a pair of matroids Tropical convexity

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.059842Z

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=2026-08-11T14:45:41.058020Z digest=sha256:14566c5142b3d5f16edf8ed911921d244b2b890cac72e08be45ee2ebc1e4cc91

Observation f7ed4f9a-fda2-4aba-8c24-1a75829d310c · outbound

This paper cites Submodular functions, matroids, and certain polyhedra.

The external activity complex of a pair of matroids Submodular functions, matroids, and certain polyhedra

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.040623Z

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=2026-08-11T14:45:41.063287Z digest=sha256:d8d0fc899f0b0cfebbe3abd00e146ecd9537cf0ab8787207b730df461dab5036

Observation d383a2cd-3454-4e7d-8233-b44897fa5317 · outbound

This paper cites Stellahedral geometry of matroids.

The external activity complex of a pair of matroids Stellahedral geometry of matroids

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.021989Z

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=2026-08-11T14:45:41.068261Z digest=sha256:f6b2fef1d05cb07202c714d93c8c49213741549aaa79251a523f3c046cc34851

Observation 16cc0066-3d5d-44bf-b6f4-c881c4238760 · outbound

This paper cites K -theoretic positivity for matroids, 2024.

The external activity complex of a pair of matroids K -theoretic positivity for matroids, 2024

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:42.003240Z

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=2026-08-11T14:45:41.073375Z digest=sha256:66575c02801c0337f94f312aa0eeb80ed898d123be59ebd7dfa632eec5d0f62b

Observation 4b05d395-018a-41d8-be44-e69662a2531c · outbound

This paper cites Cohomologies of tautological bundles of matroids.

The external activity complex of a pair of matroids Cohomologies of tautological bundles of matroids

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.984955Z

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=2026-08-11T14:45:41.078339Z digest=sha256:4ea659d1156e44ef7966d2dc5de60e9b22ca099eba1cc6e7be0b2ebea880a4d6

Observation a68d0bab-731d-4d58-af07-9399c62b44e4 · outbound

This paper cites Schubert matroids, D elannoy paths, and S peyer's invariant.

The external activity complex of a pair of matroids Schubert matroids, D elannoy paths, and S peyer's invariant

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.967107Z

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=2026-08-11T14:45:41.084700Z digest=sha256:3edc6e27949ef2ce6aa06644fba73bc5d47c18125d15a47f6c17f4d4a82dfa2f

Observation a03cc308-d899-4296-b507-2fefc09b9950 · outbound

This paper cites Valuative invariants for large classes of matroids.

The external activity complex of a pair of matroids Valuative invariants for large classes of matroids

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.949228Z

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=2026-08-11T14:45:41.089713Z digest=sha256:1c61b5ffca046f49e36e4b720e5ba6b2e8e8539268923d5bf4e1b31c778f1fc6

Observation 176c440a-ec38-426f-8764-214e6f0a9f8f · outbound

This paper cites Intersection theory on toric varieties.

The external activity complex of a pair of matroids Intersection theory on toric varieties

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.095012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.095012Z digest=sha256:7922683792184f4b0f30379360b4bd4d1b0ed24a60de6addff5494ddc42dffb1

Observation 47f58367-111b-4ca1-ad01-09237723acb4 · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:41.920188Z

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=2026-08-11T14:45:41.099870Z digest=sha256:e7b25f5de0a2affc6ebec1dc539956e3d474590cbe86fd433b149b418da9bbe9

Observation bbbea8fb-e425-42bd-8348-7de816dd8bab · outbound

This paper cites The omega invariant of a matroid, 2024, arXiv:2411.19521.

The external activity complex of a pair of matroids The omega invariant of a matroid, 2024, arXiv:2411.19521

Reference 32

Resolution
verified exact
raw_fallback, observed 2026-08-11T14:45:41.418532Z

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=2026-08-11T14:45:41.104701Z digest=sha256:ec35469c03bd7323685854547392a5271a7f073dee0bbd65a5b46757cf90f0a9

Observation 1606213b-e4dd-457d-8703-bf356676d123 · outbound

This paper cites Intersection theory , volume 2 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)].

The external activity complex of a pair of matroids Intersection theory , volume 2 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.901513Z

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=2026-08-11T14:45:41.109640Z digest=sha256:cd7537deb55f156e4589772b50881498981fa13dc41d726599d58c4ff1e922ea

Observation 6ba41bd6-af7d-4baa-8432-3c86d7fd5956 · outbound

This paper cites The intersection ring of matroids.

The external activity complex of a pair of matroids The intersection ring of matroids

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.883961Z

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=2026-08-11T14:45:41.114520Z digest=sha256:1e8023a38a1cafab089d516776adbf36edd2058669b29a8abfd84a0ec0b4df4f

Observation 58598a4e-065d-4607-a006-7e7a058d0c5a · outbound

This paper cites Algebraic geometry , volume No.

The external activity complex of a pair of matroids Algebraic geometry , volume No

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.119686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.119686Z digest=sha256:b3940f28b18245fdf8b89ba6aa718bfb96f1bf6a07f1833cc8e692fa3f389720

Observation 938f62f6-a809-4755-b245-130705c0b7fc · outbound

This paper cites Log-concavity of characteristic polynomials and the B ergman fan of matroids.

The external activity complex of a pair of matroids Log-concavity of characteristic polynomials and the B ergman fan of matroids

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.124980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.124980Z digest=sha256:3ef8fb3b0155432f2d871000edddb3c4f1ad2988810577a9a8c7c290a6cb091e

Observation b944d517-1fca-41b9-9b6b-0afad776c72d · outbound

This paper cites Compactification of the moduli space of hyperplane arrangements.

The external activity complex of a pair of matroids Compactification of the moduli space of hyperplane arrangements

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.130054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.130054Z digest=sha256:a0408f0aec368df3b7feeee120b1c3d0237ae0bd7d739f6f2005c80c8ca0e50d

Observation c7d2ca26-d0c6-4080-b546-dea10e219e00 · outbound

This paper cites Fine multidegrees, universal Grobner bases, and matrix Schubert varieties.

The external activity complex of a pair of matroids Fine multidegrees, universal Grobner bases, and matrix Schubert varieties

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.134960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.134960Z digest=sha256:c6ac36f91865130ad37d73ecf8746bbaf22c5fd87ab35257520e535069a4e635

Observation fa5041e7-92d4-450c-8070-68710176d17d · outbound

This paper cites Combinatorial applications of the H odge- R iemann relations.

The external activity complex of a pair of matroids Combinatorial applications of the H odge- R iemann relations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.833134Z

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=2026-08-11T14:45:41.139960Z digest=sha256:a0bdd8825b4aafdfc780cc7535e94a29a243f9255ed04ff1da8735c2ebe5ba6b

Observation 34d90780-a51c-444f-b6e4-f054a07f83f3 · outbound

This paper cites Combinatorics and H odge theory.

The external activity complex of a pair of matroids Combinatorics and H odge theory

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.816043Z

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=2026-08-11T14:45:41.144590Z digest=sha256:e273fd3d06369d604bf710b8202cfedb5499f59ac296832cdf8d1351f46f07b9

Observation 7e65a8db-bd23-4313-b248-10a73baa2863 · outbound

This paper cites Enumeration of points, lines, planes, etc.

The external activity complex of a pair of matroids Enumeration of points, lines, planes, etc

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.798565Z

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=2026-08-11T14:45:41.149572Z digest=sha256:fff430f19385ae32821ce745032e012f0ab7723abf9f5b4398fa6e811c9a71d6

Observation f00ac78c-89f5-4396-8355-6be3753c1af8 · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.154401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.154401Z digest=sha256:7d9b7658e40c3223d5dbbb221b41001cadd1fd36aa046ec056a7c00f69213b1d

Observation de1a023e-5df8-4295-a527-1cc652125089 · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:41.769467Z

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=2026-08-11T14:45:41.159380Z digest=sha256:cd7fd64bd42338e8047dcc219a4d3ca8999ac23bf964ee0f3bf12fd5b834b156

Observation c8151e83-7a5d-48ef-8c89-c180001ea796 · outbound

This paper cites Gr\" o bner geometry of S chubert polynomials.

The external activity complex of a pair of matroids Gr\" o bner geometry of S chubert polynomials

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.752289Z

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=2026-08-11T14:45:41.164540Z digest=sha256:028dd53bc7b4e1d6ebb120afd1710f9763a958f6e075b4d5f061dec528e045b1

Observation c8a83867-5fa5-483d-a7aa-0f2bbd8d7c35 · outbound

This paper cites Kempf and A.

The external activity complex of a pair of matroids Kempf and A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.733821Z

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=2026-08-11T14:45:41.169379Z digest=sha256:c1f37b78d2d09770b1dd591ee21917c60b5c2320e27014a16261b641a6da2c8d

Observation 8dde3aa9-96f9-45a9-a21f-9ae4cf780441 · outbound

This paper cites Kempf collapsing and quiver loci.

The external activity complex of a pair of matroids Kempf collapsing and quiver loci

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:45:41.307564Z

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=2026-08-11T14:45:41.174341Z digest=sha256:bd303085ec20aeb7a0697bac13cf35169322b31d4b4b69ad04ba794e6d064fb7

Observation 1c0822aa-2977-4d15-b66c-4ceb993b5eef · outbound

This paper cites Syzygies des vari\'et\'es d\'eterminantales.

The external activity complex of a pair of matroids Syzygies des vari\'et\'es d\'eterminantales

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.713326Z

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=2026-08-11T14:45:41.179795Z digest=sha256:bf6982cf348972eca417b8dbbd343de46202f29e5353a0516e93c48ec8c30f5b

Observation 52eb81ac-ebd9-46ce-8002-c833dd7fd6a9 · outbound

This paper cites Images of rational maps of projective spaces.

The external activity complex of a pair of matroids Images of rational maps of projective spaces

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.695001Z

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=2026-08-11T14:45:41.184507Z digest=sha256:c7eb69d61b7436f7af7347f98e7d96497cb8c22bba23b0cb70c066e5b78ac761

Observation c4656e1b-3e3f-4b8c-8c07-f65715ad40a8 · outbound

This paper cites K -rings of wonderful varieties and matroids.

The external activity complex of a pair of matroids K -rings of wonderful varieties and matroids

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.676807Z

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=2026-08-11T14:45:41.189235Z digest=sha256:29b6ccdd0996948800f53e6a6d49985cc45b44594afe64aa6abe1b0bf4134ff5

Observation 457fa69d-be25-4948-a02e-010ecf151c61 · outbound

This paper cites Lov\'asz.

The external activity complex of a pair of matroids Lov\'asz

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.656697Z

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=2026-08-11T14:45:41.194164Z digest=sha256:c1a6f07b7b3dcf14accfc8a4a6a216858e1c0318ab73634c0d599176fac67c56

Observation b8dac19e-9e9f-456c-bd21-8794480e4c1d · outbound

This paper cites Merkurjev.

The external activity complex of a pair of matroids Merkurjev

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.638254Z

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=2026-08-11T14:45:41.199053Z digest=sha256:00dfa730edbac7de2b4f6246dc810bb7e064f9830a72a9d85bf8cb70b7717611

Observation ad7be16e-835d-4090-9b0b-55d83a190687 · outbound

This paper cites Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics.

The external activity complex of a pair of matroids Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.204046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.204046Z digest=sha256:63592ac5517aafd7fb7abad6521d330225e7faee926c55c456df426439dcbef2

Observation 5c1f97b5-55d7-4d07-8ce7-a46caa5c5f94 · outbound

This paper cites Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics.

The external activity complex of a pair of matroids Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.208957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.208957Z digest=sha256:274a4e0655527c78c96992aa3101cd88d5f648020c86a2f640c998e6fd60f50d

Observation e47a8ebd-db6a-4a66-bd76-6a59f0a8b74e · outbound

This paper cites Analytification is the limit of all tropicalizations.

The external activity complex of a pair of matroids Analytification is the limit of all tropicalizations

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.213862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.213862Z digest=sha256:080c2c636643ef9d4bb7e1d4dc34fede843c64f12d2b1ea4304facb61fbff8f5

Observation bceefec0-98e3-4b25-98b9-6cedcf2e1c6e · outbound

This paper cites Scott Provan and Louis J.

The external activity complex of a pair of matroids Scott Provan and Louis J

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.218737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.218737Z digest=sha256:bd5f5a347c50028992a0249612139cf11310b80f84802e4222fe6f84d1dabb2e

Observation 5a386d7c-65ff-4e78-8677-ca7fd702118b · outbound

This paper cites Reiner and V.

The external activity complex of a pair of matroids Reiner and V

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.575618Z

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=2026-08-11T14:45:41.223325Z digest=sha256:69fcd4639b44a98c89d0eff2ea4c0eb5a57902d4cf6f58b7769259c5a0d8ae70

Observation bb122557-147a-4058-8aea-56d402ae65d3 · outbound

This paper cites Tropical geometry.

The external activity complex of a pair of matroids Tropical geometry

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.556757Z

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=2026-08-11T14:45:41.228422Z digest=sha256:30ba11172b60a7c8e7a0bf36d9aaacf2b112ed9a591514afe37cc2ae6e9fb242

Observation 4fc71fb9-2bb3-44ec-8bdc-665fe03a7548 · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:41.538612Z

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=2026-08-11T14:45:41.233481Z digest=sha256:3c244ae72795b484097ef315e926c0e01f414cbf332de17bcb74e7dcd910e8e7

Observation 22b93e25-0239-4756-bbad-e21a67a0302c · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:41.518632Z

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=2026-08-11T14:45:41.238357Z digest=sha256:7b645c1d3bd9c22e0f77e84721338b7f772f963d44499a198b47453b0a83a4fb

Observation 4e176fab-f6c7-4a70-a3fb-db232a6809dd · outbound

This paper cites an unresolved cited work.

The external activity complex of a pair of matroids Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:45:41.500221Z

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=2026-08-11T14:45:41.243580Z digest=sha256:ead41dfc61ec106eb5a17f756e8d71e5375093a37f0037f462281dfa0c44b6e3

Observation 9dddae66-cfde-4e74-8988-3daa8d83c7e0 · outbound

This paper cites Generic rigidity matroids with D ilworth truncations.

The external activity complex of a pair of matroids Generic rigidity matroids with D ilworth truncations

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.481990Z

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=2026-08-11T14:45:41.248353Z digest=sha256:ca7b9d7ab88b0941c2af4db6e31cd9ed5f07f085984702d88b0787629a22a396

Observation 7f030794-48e5-4c0f-bf5b-98ffb3ac3221 · outbound

This paper cites Cohomology of vector bundles and syzygies , volume 149 of Cambridge Tracts in Mathematics.

The external activity complex of a pair of matroids Cohomology of vector bundles and syzygies , volume 149 of Cambridge Tracts in Mathematics

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-11T14:45:41.253213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:45:41.253213Z digest=sha256:fde312b6758ba293e945a8b0650c8edc72e6f83eb9ba0001d98b3a480e0bbfd4

Observation dacb9f76-6284-4ca1-9862-49bd7f47d9ce · outbound

This paper cites Theory of matroids , volume 26 of Encyclopedia of Mathematics and its Applications.

The external activity complex of a pair of matroids Theory of matroids , volume 26 of Encyclopedia of Mathematics and its Applications

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:45:41.453758Z

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=2026-08-11T14:45:41.258069Z digest=sha256:4bb18ba7d728bfdef053378da8bd34ec101c617bb22260c9f097bec083325e7c

Pith citing papers

Observation a8f267ec-b036-455e-bbfd-0aa3e77218a0 · inbound

A master theorem for topological zeta functions of matroids cites this paper.

A master theorem for topological zeta functions of matroids The external activity complex of a pair of matroids

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-28T01:01:27.626375Z

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=2026-06-28T00:51:47.712194Z digest=sha256:8c480efed1eefe6a51d50a443d6aba0844f76f7bc522a309df155b3a82d6d677