Pith. sign in

Paper Citation Record · LEDGER

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.335513Z digest=sha256:51dd81ffbabec2801b2f08e4cf44ba89ffc5953cb2d2a087375175f15b09783c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.340870Z digest=sha256:bc72bead7fb6ffb42e8a28e21c0baf65e2fca6d41a641a0a099c024d67cf3806

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.345422Z digest=sha256:a9a5468c8e1391b3118a4543bac1836373d526682e70432e0f82cc0bb901e766

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.349756Z digest=sha256:e1496dbaf96e6cdd4e43cd717de1e8abacce650641b420d6b8360222e3a5260f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.354745Z digest=sha256:1a2da42548a94ef5bbf32ade4eac8564ca87099383b6e62686d3b28d463bf22b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.359333Z digest=sha256:5addae527650e9f38e2b59b2a148cc5f11f2cab34c3e4080b46fbe504c915b81

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.368906Z digest=sha256:c428330232aaefd1f6f263a6ce148ff21e38deb4bb0e8604986c714ca1fef27a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.373367Z digest=sha256:c5647d1294efe3d33b9fe2fbe8c7f9c707e6cf08e29127bf6c24e95f259ecc89

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.377417Z digest=sha256:b33d4d27f0e3c4eaa90c1c170a348e950fa13374d40bd07881aeb3e0dbc88a68

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.381634Z digest=sha256:0621f9c140b0c61e79cda79312ba2eae90675f3ac45a482f789ebe95af440a1f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.386481Z digest=sha256:50f48a32d21f16fa46e5f19e819b5669492168066488a9686a6d85ccf2ff5381

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.390624Z digest=sha256:86dfce31ca6a5d563041540e84a5f2864e7849a0c6ac65b1e8d2124491b0ba48

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.394801Z digest=sha256:e31b879be4f898dcced4582461c510556094837f1b2d3bb71e8486ff61f9ffb2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.398902Z digest=sha256:df27443d3ec78c61d5c16a7c4228de7a6ddd29558701ad97e000a49661a97f1d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.403018Z digest=sha256:09d1f0bedbb8dfc1a918fa7cf08733fd359e04239230f9c6a3e44ef9d8b6fe3d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.407350Z digest=sha256:f85e18ca2b645c47befe68bd7a3aff6ab02995f04475c145247826d06f44b469

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.411598Z digest=sha256:67df595197061ba283559f6a20b44a88fb6139ad322485e3a5947ae3bef7b730

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.416351Z digest=sha256:951c24738033291b5501791aa2e77c6ee5ca66bc67f6f1de96f4fca546b736c6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.420790Z digest=sha256:85008e17325e0a6bb98466a76b8466f79e494901fa64b24974371547978531e5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.424964Z digest=sha256:2920f4e852f54fe9550789889999dc0226d546cd4879a3fe4947cec078b8d326

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.429008Z digest=sha256:cbfab873c118e6c1f25e3afa6bbe2764ee92877b7787d617e2d0785f1b1b1631

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.433125Z digest=sha256:dd2c652cc62f8e16fcd8119da70f03a7829aa7de55b59722215045045c8855c6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.437352Z digest=sha256:fcf06e122f8fff71acf8e3ee8db062b21cd0dd731c2b9e8f09d9a9fe683c843f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.441360Z digest=sha256:125644125b5958e51acf15152ba60ff2a1b9dba774dd36e7834af5f5f4623d72

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.445910Z digest=sha256:0286de00763a0f2a9c8663342796ecb26e9ea3f6db4555492aa7d9c2152c12f1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.450207Z digest=sha256:d8e9482556436596ea75edbdbcdf2f1ea5815507357d46e52e4d756059aecb20

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.454395Z digest=sha256:4c5a3b1c9882727cbb3bc174ad81cd5659c7bff6ea6821ea5893f125123d76a1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.458570Z digest=sha256:8eef2a4d677f111c4b9597d71f91f1843b2eddf5e29e9b3cc003410b6afbb75f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.462616Z digest=sha256:7a8ceafa7032117467ab2c1f21ab7bff9e659d39fd5adfcc1a8f48ef03d2dd5b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:37:39.466755Z digest=sha256:4245f2a0c7e5ee2e9297cec090e8e7aef7a92c5692524cce14f5bbd20249c319

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:0bae9649f336787b4229862c1058733a7dafb0344bc43d7906546f20f6e1e9ad