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Paper Citation Record · LEDGER

The external activity complex of a pair of matroids

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.940614Z digest=sha256:3f08da11f0e9a8359db591b44b53fa6a1b2128ef8f8b55750a9771e71f55cdb4

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.946439Z digest=sha256:e7587159af530dffe8923469a8519b257e752308eabed33c06a2fb3778a2946a

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=sha256:253c4e8ba6460b998ce62815c8538ddd16f67b3b47164256c22455f2d4b6b34e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.957237Z digest=sha256:84c8e7c70e1a0ffc5e44ce18e048968fe67e6d5df47d314fe707538b3c21372b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.962630Z digest=sha256:dda89a8cfee3490c6e8cdb82bf739eff4310d71993d7c2346b3e6c050bfacc0c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.968356Z digest=sha256:ad8525c14d11a4b83596cd3963b1af7ab4564b335808d7ea805e29e45d69e7cc

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.974358Z digest=sha256:fdc3a6d33a8414811482704b1aa31aa09bdd0c24cf19766d9ac0b0dd5cf72425

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.979261Z digest=sha256:8038233d8e1f0ea42d3a8ff11fd781ad82f6ded4c88ab3682aa5446be9e19e70

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.984359Z digest=sha256:8f400819d8b67d79fb7a230914f6481256f62af39aa5715457a2dce9f8b0708e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:40.989841Z digest=sha256:e520325e4b229d815e1629faacf7c98798c5ca061b91f01914bb1a1f9cb5b438

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:aa54c49f5a101b3e2779b94b09d2eecdbcd73cc3e2131ccd551fe2bd8f4aae00

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.000922Z digest=sha256:7fb07bf409a65001dbdafe0268f0126668d2c4f2a1795e9ee6e4852247a6487e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.006445Z digest=sha256:d0e7efe1843970a8ede0eb779a87c4077e606c5b5cac57ed867ebfbc44b15240

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.011504Z digest=sha256:7d53f0f53597075f4361b584308bc2b960951e7ac7dc0b212ce7720025154fab

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.016671Z digest=sha256:e289d6ef3785d620693707792e9c49974867a2c8f69ba40f1e20b7b89bfda561

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.021579Z digest=sha256:237be8023effae94caf01e77e1ce9c96508451d6ec7d6854b3248adeb9fec8ae

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.026450Z digest=sha256:1f8495155ed69af9c5379c473ec9d43c0211a506665948293772134fd6d44548

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.031861Z digest=sha256:47be7f833e4f4ff7c695bd318af3958a4448b467c61ce6f5839e371ee7394aae

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.036996Z digest=sha256:263336f792a38b141371d454d204acc36115d8a53e55b99e667559edc7da34f3

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=sha256:4aa9f92dd1e64a65464ce0171bf5359f90f87f7ac57bc7f30b1f40564142f760

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:c18877dc91c7c69ad805c89eeec3c8922314e00b26002b751181afd3009709cb

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.053028Z digest=sha256:277bc43159be604e075e2211d87c5b7fc8d9cb683f510260b3aeedf224896ba2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.058020Z digest=sha256:d1d0732b128e91465fb0ba38ad624a78d38b59f095ae423e02e4f8c31a3aceb4

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.063287Z digest=sha256:be377f841a383b7d6133be31a41d34a165c3602bc18a31e9ddde232b53b0d3c2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.068261Z digest=sha256:a0cfe54ab8b2fadf3381fb389a2c1d997cb0f30585e1ed41cb40c7993cea041d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.073375Z digest=sha256:128b299cbf8f0a8a0cce6bc9271754ab88b03932994815e174e49249200bc098

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.078339Z digest=sha256:42cbbd7740c55830fecb54a86ddd68e60a4677eedf433e51b3b7e02799807a44

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.084700Z digest=sha256:abedb0384732bdba4595b4590b9d874035e6cdc4291c63271bd68011f759bbd8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.089713Z digest=sha256:e37a503d3864fdfe721207fdfe9933861a6c76fab1391839408dbd01cb47db4c

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:ef34fe17a9b257e3054c5d54e867449228b315693f77d68c6e257206729933de

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.099870Z digest=sha256:97562efc1443514c173acd14f7f02c849b7e6906ee3c91405ac6a7589f4996d3

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.104701Z digest=sha256:2da40cf5acff0af45cfd8b0b4ac5dbcbde26155547b44b95e9ca8d1cb8919614

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.109640Z digest=sha256:403c8c1e603f697bd99863972eec88c8591cacbf445cec53f6869f697c673359

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.114520Z digest=sha256:e8c31780f285095a04ea437162a14b7b4a25026e7b1ac6880d7bb44f50b5131e

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:f8cdc96b95bd774eeabe82460d330cc7cefbdce5cd3adea3b1c137ff22323ec7

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:e50e1ea5431dd283aa0a5cea6282c4d373a47fcb848393df78534633da7d206a

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=sha256:3d4252465f932acdb24910076da7201bc2c0c1622ebaef7c0c6e79c8816c1121

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:cccf874621db0e18fe061a87cff5fee847f80cff9f4544907b23d0317ecb764b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.139960Z digest=sha256:bf1117355df50143652e4ee493d5acc4c1004e4204f176c02ffa655534fe0fc8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.144590Z digest=sha256:9ca7bb526c290e32838a18d3c2b72abb3f03783b772ffee43ed4111c8bcdf487

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.149572Z digest=sha256:eb373c75d664267869faa56bbc47721938a512ffb52836811d8cb66f130e20d4

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:e2cec7e09dac4365bd7b5dc8b511c35f5ed06ed4f3d84cbdf75790d01c50d3ab

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.159380Z digest=sha256:5d610e3ff2b19a08947ae03f2dfc06b65a63440e800105a51304eb379d33d683

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.164540Z digest=sha256:0f29148e5a3e87f7e3aa3379186b7decfcd557a8434d0f68efe54aac1ff28c4f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.169379Z digest=sha256:4dd8e013811d83ef685f9adcf82fb8b6713c292e2a5fbe5e406253b5ec69534a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.174341Z digest=sha256:63bc58e55e0d9832f37c691b66ffd52dcf90ef4d0b7c07688f29bbbc75eccca9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.179795Z digest=sha256:fea1a0117b012bd59d7bf5b62b1e21a44f29c032d245ddc1a1276afee9818a57

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.184507Z digest=sha256:d5285c260fdcadb018d5fc9106c63b6d18de17d5a148912bdee10e09db6758d2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.189235Z digest=sha256:73a5f70d6361f02f765930f0e11840026c404a85493635227f93a5d699e351ae

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.194164Z digest=sha256:488833a45be5f0d558de7e28d117381d837a1943bba3f6df9687b7e9285c1246

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.199053Z digest=sha256:d4ac56691ab4b0730cf3f6cf31edac91f0857473c28758d47462cc3c67caf83e

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:af9b6248c9a96a56c4d2b438f78edde152e4ba05229ec6fce2a82c482f5fdab6

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=sha256:315cdb5a1e7d1d48906a461ae788a8cfa19dc031e1670f84a04c898e70664d47

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=sha256:4892d04f570d15e21ad8a3d2385092e97f3f72327b247ad98ce60868e2c4fa4e

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=sha256:43b833e931376b7cd6777d27b955aefae52e5438fc751b11cede21869a663ae1

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.223325Z digest=sha256:e65a424f20772fd5e63477254a8833d19da8a36575d77f2a80c588f36a742c6d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.228422Z digest=sha256:c6ed187e5b1d787708ec5a967947eb8dc154024a10fc8bd9cdd355103b7fe73e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.233481Z digest=sha256:533b3f6c002ee1454be9c6894edc0acb5ceb0cdcaa7b9c7d8c8f460d1df89808

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.238357Z digest=sha256:ded0f6ee6f8eed663d62088a12eb4b605f2c1902d772316bd8b1e4000a8d241d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.243580Z digest=sha256:e6d61d1080793bf191057056ca2c1abdff55a2d9cacc8b3133898fac5670fab6

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.248353Z digest=sha256:9e648c3b5ca8252863ae53b65f7aaebd5038e19984e0d615092e9629ac77e0b7

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:fa817316fe56cab4952c595b3fb381beba356eafd6efd3d3f42e935348867438

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T14:45:41.258069Z digest=sha256:9bc988e25e0f65b630a0f2053f1cb85bcd4d42e43a10aed68a35042ee52165c0

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-28T00:51:47.712194Z digest=sha256:454de05af919cb00d519b32d39a94b841ff9e77b262793cda8f2e68a5c1382b3