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Paper Citation Record · LEDGER

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2506.07757.

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

pith.paper-citation-record.v1
2506.07757 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:37:39.466755Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T17:20:29.589792Z

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

31 of 31 outbound references displayed

  • verified exact4
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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

Outbound references

Observation fefa6c1d-736e-475c-a689-d7d11180a266 · outbound

This paper cites Bruns and A.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Bruns and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:40.057905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.335513Z digest=sha256:89ab887c8b8b0093356e14d499e02de4df19135fab788c62212a43b4367a9b04

Observation beacd8dd-87e0-45a9-afec-6334d73b3712 · outbound

This paper cites Caines, F.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Caines, F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:40.043336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.340870Z digest=sha256:fff1b3ea2a1be143907bb26b32dc429b094d264f1b902279493f6c0c8412acd0

Observation 0bbb17ce-a78b-497b-bee3-373eae04cb9d · outbound

This paper cites Clarke, K.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Clarke, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:40.029997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.345422Z digest=sha256:321d94d0fc78608c6a1cd41740f2a19acf1c188636f046d22c0e208113b691e0

Observation ccce3976-1279-4580-a09a-4a2ec824ab6d · outbound

This paper cites Clarke, G.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Clarke, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:40.016219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.349756Z digest=sha256:d7540b2caadc536beb7e72ec9f953694152a30c7a8033bfa8f659955b7d6358d

Observation b3d8af70-e26e-4efb-a615-92841aa0689c · outbound

This paper cites Clarke, F.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Clarke, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:40.002515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.354745Z digest=sha256:f60fcf88e7f8db764e02d5960c173c7695301dc707f1ca42606b5414da46b816

Observation 3ea14c21-4c3c-47ef-8c95-0a3ccb165972 · outbound

This paper cites Drton, B.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Drton, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.988396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.359333Z digest=sha256:bb13084ed0613b107e27f29321c959d8cf035035fae9abee9dae9056bdf98f2e

Observation aa9170ba-216c-4da8-958f-e9a49731a1bc · outbound

This paper cites an unresolved cited work.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T05:37:39.364453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:37:39.364453Z digest=sha256:a976506e24e3fc5f30a7a7f3e0e99ecfc8075f9239c6f86e70771821c7dbe3c9

Observation 64b163c3-dbc6-4f86-995a-cf87391cac6e · outbound

This paper cites an unresolved cited work.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:37:39.965531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.368906Z digest=sha256:8749bdb359957051fa0ddf67ebaee71644d83e50d32800c5ec809611a67d9703

Observation 617be10e-154b-45b5-827e-6cac66cd9f3d · outbound

This paper cites Gelfand, M.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Gelfand, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.952481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.373367Z digest=sha256:551791aeed179e34cb44ec19ec54a4e24927a4b7c28aa81d57fbcec17fe789de

Observation 8aca2166-4fb0-4acf-9336-5d081c135205 · outbound

This paper cites an unresolved cited work.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:37:39.939515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.377417Z digest=sha256:51bc42119fd6a8510742e134342b581cecdc1d2d344367e7fae185ba33ae2d4d

Observation ce54be77-2af1-4d7a-8171-618df681a372 · outbound

This paper cites Guerville-Ball´ e and J.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Guerville-Ball´ e and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.926584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.381634Z digest=sha256:5c6351e5ac494715b0ad8ec7904048d93997f4739087813601ea8e5c45078438

Observation b263f66f-e34b-4a95-8aa3-e08a035273f6 · outbound

This paper cites Hartshorne.Algebraic geometry, volume 52.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Hartshorne.Algebraic geometry, volume 52

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.912767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.386481Z digest=sha256:e229db37cebc8e30b486c04645abd6b3d6ab0d952b66e16bfba72a28b6e1ba33

Observation f395b001-8652-4d25-a952-7cd0e863f756 · outbound

This paper cites Herzog, T.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Herzog, T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.899379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.390624Z digest=sha256:9177596bedb0716a84c26832fa91597235df417d4a704b787f881f0318ed1081

Observation c8fc3746-9ac5-4492-a4ca-45c5f5e10088 · outbound

This paper cites Ho¸ sten and S.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Ho¸ sten and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.885603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.394801Z digest=sha256:32f87c6eade65c94a8c5ae5d719eed52f0577e20d2d7dee25bfa4ef22f56cf39

Observation 8f6a9124-e63d-42c9-af5d-44c457fa9a8e · outbound

This paper cites Jackson and S.-i.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Jackson and S.-i

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.872277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.398902Z digest=sha256:7b9848e602961df2acba70f3c58a0bca1e62e097ca9e7338525e679b041b26e1

Observation 478196dd-3152-4ccd-aa11-0cdae2e36e94 · outbound

This paper cites Knutson, T.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Knutson, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.859299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.403018Z digest=sha256:7e2c04bbee311f88ef341af918c95e9b2208041458baf42e40389b2dafe7431f

Observation a4341dc8-fbba-445e-9e5b-2278bb7990ed · outbound

This paper cites Liwski and F.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Liwski and F

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:37:39.696445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.407350Z digest=sha256:c354f3897187419b5bfa0989bd822b8c6156e14ac2b647e6551fbb86f8f2fbe6

Observation 9a799213-d4f4-4e0b-93c6-3b0a2a6614e4 · outbound

This paper cites Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:37:39.602098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.411598Z digest=sha256:73fb6ac8e5a45a9f64e0cf97903a812062f1cea501f3edc2c3f69a2451fb60b3

Observation d07ab711-2f8f-4e5a-babc-9171648c4775 · outbound

This paper cites Liwski, F.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Liwski, F

Reference 19

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:37:39.581325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.416351Z digest=sha256:0007c13feac67ea604fce155001debbd0f2fb33f555c419fdbea9e006b9921da

Observation 89f9b644-c4a4-4dd9-85e0-d555756d7d27 · outbound

This paper cites Oxley.Matroid Theory.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Oxley.Matroid Theory

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.845941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.420790Z digest=sha256:2aaad5f6ad80b8dd1f313c529b47d9974d285677c888344479695ce29d66382b

Observation 373c6b34-a552-468a-b69e-62352deea890 · outbound

This paper cites Pfister and A.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Pfister and A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.832812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.424964Z digest=sha256:e8da1ac6cd77f8a186283952bf1434de6da9c98928a9d4e4af4b6205b2c742f1

Observation 5cb99c55-3d75-4235-97b5-dec4b6a8ae57 · outbound

This paper cites an unresolved cited work.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:37:39.820027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.429008Z digest=sha256:e40c5ab5450945b9746e19fe9ab47e7e66db217b8fc003fafddea8f288505b46

Observation c35f592b-538b-4037-b9be-eacb64a4f5a3 · outbound

This paper cites Poljak and D.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Poljak and D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.806608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.433125Z digest=sha256:7636839c15094d71a9e158cb24b6be2b3d549349b140c67e4a8ea908282808b9

Observation eaddb7fa-5099-475c-9700-386090e6ea2a · outbound

This paper cites Sidman, W.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Sidman, W

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.793399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.437352Z digest=sha256:c93e4059180b4ea89dbaf2925e2c4bf66c001f0231a9501bd0d18b3c56a9374b

Observation 4f683d42-f036-4533-a7b2-3212643be4e1 · outbound

This paper cites The Maximum Matroid of a Graph.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids The Maximum Matroid of a Graph

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:37:39.505765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.441360Z digest=sha256:c5d0331e614cb56906a42208f261184301db36b49e10871d92b295c43ddc8d75

Observation 2d47368a-e17a-4606-9e0c-7bfb7b04f80f · outbound

This paper cites Studen´ y.Probabilistic conditional independence structures.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Studen´ y.Probabilistic conditional independence structures

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.780283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.445910Z digest=sha256:46e58a50ca9528f0b46cae460848fbc71a344fedb8362c4555f93efb7b31c7a4

Observation 23499354-5a33-4687-a220-729e3b76ef7a · outbound

This paper cites Sturmfels.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Sturmfels

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.766487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.450207Z digest=sha256:909634a22e3ee51a13e66d455d78ebe13f97010d58faabb48a13ec10cde25b4d

Observation 93ce78df-3d0b-41a6-a70d-6cb93db8fd6a · outbound

This paper cites Sturmfels.Algorithms in invariant theory.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Sturmfels.Algorithms in invariant theory

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.753420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.454395Z digest=sha256:92e5073792689cb922b9985d081528b262670574d9945360702241b7d87e7d71

Observation 7a8aab8b-f248-4cee-a329-098e64a5d42d · outbound

This paper cites Vakil.The Rising Sea, Foundations of Algebraic Geometry.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Vakil.The Rising Sea, Foundations of Algebraic Geometry

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.739346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.458570Z digest=sha256:260c01d4d8c21a58c0c97626c6d413774c2bf32bebbfe37333e16914883bc80c

Observation 25617baf-e29d-444f-8d86-ddb6942ee847 · outbound

This paper cites Whiteley.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Whiteley

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:37:39.725276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.462616Z digest=sha256:33be3bc250f821fec147a91038424099ee8b04ecc3c8332fa38d967f8bc5f9f6

Observation 3b374549-d953-4837-8300-14ec211afdc8 · outbound

This paper cites an unresolved cited work.

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:37:39.710670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:37:39.466755Z digest=sha256:8e1328d9ded27dd54c3d2324d4d1d05a96701de6853787ca8b8e3e9504d44852

Pith citing papers

Observation acc7f0f1-a406-4669-aac8-9ba294b22fd8 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

Reference 187

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.346918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:fe5809299a9beab35e4cf5ba19fc0e11582ed9b114edb77d62bd100a10ef41f6