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Paper Citation Record · LEDGER

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

As of 15 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 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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

source=pdf_text observed=2026-08-07T05:37:39.335513Z digest=sha256:29f62226f3d923ac1bd798ef554e1eb02e4f8720593245a8e9f57b35fc67d959

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

source=pdf_text observed=2026-08-07T05:37:39.340870Z digest=sha256:24d2996d70d71a103898925e23c7f96138325a7ea3340ec8d048f3a7964a087d

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

source=pdf_text observed=2026-08-07T05:37:39.345422Z digest=sha256:326dc90e709e96611ad2868d5ee3317a0625bbae27824afb5213216d96f22681

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

source=pdf_text observed=2026-08-07T05:37:39.349756Z digest=sha256:52c755bbbd89377dd6963a4322513e4f1423044ac8fd76716a47c078f340e352

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

source=pdf_text observed=2026-08-07T05:37:39.354745Z digest=sha256:846c4cdb515602d3b936df677afe93379aebcbaddddc9ddb805e685368c4de65

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

source=pdf_text observed=2026-08-07T05:37:39.359333Z digest=sha256:0626e7f435db2a7c8e9f0e02e5a98c4d14a15ca01a77851994b6c244ab01ba43

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

source=pdf_text observed=2026-08-07T05:37:39.368906Z digest=sha256:d991728e3c4f6e8239f01e100913237a636e2cd41e435383b004f03f9b95346c

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

source=pdf_text observed=2026-08-07T05:37:39.373367Z digest=sha256:fdfaf26797825c51659861fa85e42eaaad3ad2d23f5182c3fef1a0f3c3933b53

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

source=pdf_text observed=2026-08-07T05:37:39.377417Z digest=sha256:17ae18221202555790d8f43e28c17989ec6cdb76bf498773dd3bb485ee850264

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

source=pdf_text observed=2026-08-07T05:37:39.381634Z digest=sha256:99dcd4891ca3df261674dd16ab0ac0719cf74f9b5ccdb711fba5e0f0bd008a70

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

source=pdf_text observed=2026-08-07T05:37:39.386481Z digest=sha256:4a1709e7f033662b94ec1371f52bbb519de6230db03211f3152fe1ce8f2573a4

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

source=pdf_text observed=2026-08-07T05:37:39.390624Z digest=sha256:a27cf32fb31e1ba18d3692d06810fbc9da518454499e6f723196db09a9fddfd7

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

source=pdf_text observed=2026-08-07T05:37:39.394801Z digest=sha256:01ee08bd15dccbb1163d580b519f621cd3d24c2f4d406a9ffdc0d3747a0a961f

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

source=pdf_text observed=2026-08-07T05:37:39.398902Z digest=sha256:6e986afa1fae2e6474952dce16c5c753bf5c5c853d63b23ead22af97fd60c1a7

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

source=pdf_text observed=2026-08-07T05:37:39.403018Z digest=sha256:3e51c5046b04542bf93e1f10d8e1a0d20b928f73ea2bbf153da653349b1ef4ce

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

source=pdf_text observed=2026-08-07T05:37:39.407350Z digest=sha256:4d8412149b2f697f325a9f483fc75b011d77b0518ca3d0e072f6e0232aaa0798

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

source=pdf_text observed=2026-08-07T05:37:39.411598Z digest=sha256:eaa8da6dbfb6940aea59bf79cbafe71d9e63e8ce44b490bb6f860bcdca97b9ee

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

source=pdf_text observed=2026-08-07T05:37:39.416351Z digest=sha256:ab0bce2d7be1dad713528a2eb7808fb094482df9482bd872a1ee9e67d1560fdb

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

source=pdf_text observed=2026-08-07T05:37:39.420790Z digest=sha256:cb93b8aaa7008b9c7647aedadf42b99a33abe18395aa18433221f3b50d92a2d3

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

source=pdf_text observed=2026-08-07T05:37:39.424964Z digest=sha256:7e39430b2ce48714d318088bf2c0335e534e55eafca732c24165396cc806055c

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

source=pdf_text observed=2026-08-07T05:37:39.429008Z digest=sha256:f5f3a8ad43c1f32cac6a8f296348fa6cae44d1dd3becbcbeb0ff33575fbc2903

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

source=pdf_text observed=2026-08-07T05:37:39.433125Z digest=sha256:1159619d1d181bca36ee256f568235354a95629857e89fba23b0e6bb4cf68555

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

source=pdf_text observed=2026-08-07T05:37:39.437352Z digest=sha256:86fa7d94b85ca1de40f0a4af36f80b77e92e413061895965bda4a4122dc5a94d

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

source=pdf_text observed=2026-08-07T05:37:39.441360Z digest=sha256:44179b83b5c526236a2f483b12d91ab4c083de41b95cb2c7270f038f782484b6

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

source=pdf_text observed=2026-08-07T05:37:39.445910Z digest=sha256:a0606815a31556d83646984eb8cab1746b2aa1d3da19b1e0e03a1695b89068e8

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

source=pdf_text observed=2026-08-07T05:37:39.450207Z digest=sha256:439d8b80cd25d63a29b5dca35507f9d537cf5ca63d9b71d669e160c1184a267e

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

source=pdf_text observed=2026-08-07T05:37:39.454395Z digest=sha256:55b9bca7720a2430cf015d96d9bfc3b5c9a8634dd88af7b57d211dc858b63b37

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

source=pdf_text observed=2026-08-07T05:37:39.458570Z digest=sha256:f0ed72a920271157bf2047c753f0a1e3c93dd1ac4ba4e20f86e47c3484af1c32

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

source=pdf_text observed=2026-08-07T05:37:39.462616Z digest=sha256:b1ecaf1689316af62aeff8df0a6ecc98f46ca17f161e673089931c9582a66be1

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

source=pdf_text observed=2026-08-07T05:37:39.466755Z digest=sha256:faf0f5a174e4a825a7ca0d30c9b3e23709342cf333e1b2e5832086238124e0de

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

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:b50e30930f5ff2397799942861ba5906134617a6f1bc0ca207e5b85a4f2d61d5