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Paper Citation Record · LEDGER

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

As of 12 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 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.335513Z digest=sha256:1e109feb255f572835d2df7787c07d80c5730960dfcda8b56bb3058a066ec403

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.340870Z digest=sha256:bbbcf0d10d99798bcddd902d3afefa2dd1edb919ad35bc84da8ad373573d8376

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.345422Z digest=sha256:0e385ef857769fb1c7c97498edb134df11ae63b450152eec77ef849dc35379cd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.349756Z digest=sha256:5e74af113b7de38c4acbc33bacaa78c78ec4c93ced568ad87eb1d600339e025e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.354745Z digest=sha256:0e1cb089779ea55a62bba83dc8eb2a8cd3fc9535e2356443eb4f89db2f5cecc8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.359333Z digest=sha256:2b201c4b679bc454967af40e23a87a30965ced749481acf3017ed52a0cb51561

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.368906Z digest=sha256:81ce7783fd2706b13f0c89f64f0834dc28edea24005db100fd2250f1db3233ef

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.373367Z digest=sha256:0f42c558e75db975bc3363b7cb7dc8ad9a7d385c28d7f829c41091f4463ab07b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.377417Z digest=sha256:d9985855babd18d0f4d7cefbd7be0ccac00f4142812ae9260ef8c4a1b2dc7c3f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.381634Z digest=sha256:87d03ac343c0c196d7cf0a750267aa7609c508227c2723f018aa7edcd0e9f49e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.386481Z digest=sha256:957747bb56483f058639ccfbfb4b103ac75382ca855e3c699af688696ce73766

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.390624Z digest=sha256:18443044ff7b5a1d4a3be24cd490f670aa17c0c857b8b97da51fb747d66dae32

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.394801Z digest=sha256:ba3e407f939671a0bf93001a55ed172cda320e40705fc0e409073cfa43489ae6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.398902Z digest=sha256:40137bfc5dd1e063ef4d6191e2dc1892e2f7fdfeddfb651a48a2dbbeea11906a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.403018Z digest=sha256:59c2a8d8b33115065f102faeae8df74c65fe161c6c936eecdc4661d254613592

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.407350Z digest=sha256:161d79f91784ba8b8b7a669c7e2f7c6e1c2796d3c22803d01cea85c2c717c647

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.411598Z digest=sha256:6a934e1fe822b96a2a52d3a47332e877ed180d3476e642b8dd7d7726fb2e24a6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.416351Z digest=sha256:aafa1962c812b11ddf504f4d1a0909cdb0baca9ba0671961b279bc87434b001a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.420790Z digest=sha256:67ce0ee481eae1a7901d27e1a796755bf0ecfbca8dde3e271b1a8cab7fb078b9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.424964Z digest=sha256:63fb883f0ec010ccb54983e68cd71dc4d3e6869fbef74d5b70325aaee75977f9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.429008Z digest=sha256:9dc73b56e80d736e2ea31cae7eb5df014591e44e835dcb2e3e87016d0aba4f06

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.433125Z digest=sha256:2806a4c26882bbc5f6b6eb25f1ccf5d76ca52aae2901e1f84dc6947115537f35

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.437352Z digest=sha256:061300e4b2dadc9c543a80c4e6991d3c20ea945ed4132cb874190dde5ce74f5a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.441360Z digest=sha256:92750bc549b0fd548db8f5a6f63861a5c4ca7e44d711693b7288d6e650c64527

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.445910Z digest=sha256:e0b3a62e61d9585fbcfe19542a4ec5dc01c381490630288ad22f66066d13dc2e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.450207Z digest=sha256:c61c82740c1efa1a02ce7e4c47ef6e53d553fda0fc2e6e528be7af28cbb7548c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.454395Z digest=sha256:df4ab60aeff6e5435dd6ec5317097c9dd10d116785203b68e28dd67d3767671e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.458570Z digest=sha256:9df736c02e14ae332f8568257bff4ae3e66947e31948553894e728e1d4ca4ca3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.462616Z digest=sha256:3b32bf07ff04029948ea7153fdb2d141683cca5d1bf8ca7862aea6b48d12d29d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T05:37:39.466755Z digest=sha256:b08b5daee729c8e11fdcb7b0a9ae756411de25559f709655eb86c21ae8129646

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:9a60cb4d5473125a89e1d91dea5a80433a11949a5f173b06cc927abb7e9aabb5