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Paper Citation Record · LEDGER

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

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2502.00799.

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

pith.paper-citation-record.v1
2502.00799 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:59:20.723102Z

measured 24 of 24 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 2026-08-07T05:37:39.411598Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:37:39.595216Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 246a882d-cab7-4bf4-8d4f-50d15f480c79 · outbound

This paper cites Gr¨ obner bases and determinantal ideals.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Gr¨ obner bases and determinantal ideals

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.059598Z

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.

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Observation 304ea22f-3994-4895-8e5b-bca25da049de · outbound

This paper cites Lattice conditional independence models and Hibi ideals.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Lattice conditional independence models and Hibi ideals

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.050683Z

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=2026-08-09T17:59:20.645440Z digest=sha256:52a7a6421504405470af127dd788d9a3f2240db9229e3143ed829de7b70c4bd2

Observation 484f22c3-ec74-4ff3-839d-6d830a25003a · outbound

This paper cites Matroid stratifications of hypergraph varieties, their realization spaces, and discrete conditional independence models.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Matroid stratifications of hypergraph varieties, their realization spaces, and discrete conditional independence models

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.042847Z

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=2026-08-09T17:59:20.649135Z digest=sha256:f05899b0ef12562617c6ef4413d22c213c0c716325aee00f1e99c598dc0b017d

Observation d5f5ce9c-5bbe-4435-946a-b59aeff5fc2d · outbound

This paper cites Steiner systems.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Steiner systems

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.034513Z

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=2026-08-09T17:59:20.652142Z digest=sha256:5cb39b38e699aa6cc922bdf9cecfc79e1f29632621b086a08f02dbee6ad857d2

Observation 8328fc52-02d6-4fb6-907b-11d6079d5488 · outbound

This paper cites Singular matroid realization spaces.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Singular matroid realization spaces

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-09T17:59:20.878627Z

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=2026-08-09T17:59:20.655596Z digest=sha256:e1b64dae07028691a09e4c80d3ea356ca8311182e33708491a25f2111bc3ca59

Observation 6f37772b-d15a-498d-bdbd-53ffa3ff287f · outbound

This paper cites Combinatorial geometries, convex polyhedra, and schubert cells.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Combinatorial geometries, convex polyhedra, and schubert cells

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.025338Z

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=2026-08-09T17:59:20.659180Z digest=sha256:9f46494d8b60b4342d11a93ceaf5664dfc98bd94dc0e1ccd36aebe36623ad48f

Observation 830b5975-49fb-41cd-aca0-e6cc19c7a7ac · outbound

This paper cites Rigidity matroids.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Rigidity matroids

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.016855Z

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=2026-08-09T17:59:20.663218Z digest=sha256:abad95f27590d502c96138c6f6a0c2e70c0840218175d8ba41dabd27cb3be0fb

Observation ee1834e3-daa7-4a3a-bf42-c731b5d91d69 · outbound

This paper cites Graver, Brigitte Servatius, and Herman Servatius.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Graver, Brigitte Servatius, and Herman Servatius

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.009374Z

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=2026-08-09T17:59:20.668040Z digest=sha256:cdd4788d459ad0c74bcf8ceb441e137941cbccd78484b73f4e236c38d264c3eb

Observation 54bb5f25-c456-4bb6-ae4e-15cd900f98c0 · outbound

This paper cites Configurations and Steiner systems s(2, 4, 25).

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Configurations and Steiner systems s(2, 4, 25)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:21.000676Z

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=2026-08-09T17:59:20.671923Z digest=sha256:704d064e16967ceccbb7e7fa5a74785e15aec5cef0a87f6a17e7f5355bab03c0

Observation 5307f25e-3a59-4d5d-a562-a63e7c12e693 · outbound

This paper cites Configurations and their realization.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Configurations and their realization

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.990830Z

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=2026-08-09T17:59:20.675754Z digest=sha256:c095df777612e074a0a4779f08bf078d40159c9f87ee5f571b087efac050905b

Observation ad7f5826-3ca8-4b41-a85f-469c2076ac41 · outbound

This paper cites Connectedness and combinatorial interplay in the moduli space of line arrangements.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Connectedness and combinatorial interplay in the moduli space of line arrangements

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-09T17:59:20.864955Z

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.

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Observation 95d2fa36-356e-4cc7-a86a-e31c7e100a95 · outbound

This paper cites Maximal matroids in weak order posets.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Maximal matroids in weak order posets

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.980938Z

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=2026-08-09T17:59:20.682464Z digest=sha256:2f30cc39c75e1608a1a47c8e168f3e18f6fe2336c5df1074a299e0ec36ea0bd6

Observation 542ddb1d-c4e1-4019-a3e2-4e579afe1125 · outbound

This paper cites Mn¨ ev-sturmfels universality for schemes.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Mn¨ ev-sturmfels universality for schemes

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.971796Z

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=2026-08-09T17:59:20.685885Z digest=sha256:5437fde3097271436a7b20aab6192c22984a7a6db794720cdf36e26fdb4e4a1f

Observation 61ce7f9b-f193-4af2-8f70-2c594b7cfd37 · outbound

This paper cites Topics on Steiner systems.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Topics on Steiner systems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.961078Z

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.

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Observation f6d27779-526a-461b-82d5-6900d0cbccc2 · outbound

This paper cites Paving matroids: defining equations and associated varieties.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Paving matroids: defining equations and associated varieties

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-09T17:59:20.698387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T17:59:20.698387Z digest=sha256:d6a7ccf31df88e9c4b4f079d527de17a203d3b5cdff1777bf685f7e30b22e918

Observation 75221869-114c-47dc-aadd-7dfb9f48a209 · outbound

This paper cites On the connectivity of the realization spaces of line arrangements.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties On the connectivity of the realization spaces of line arrangements

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.951383Z

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=2026-08-09T17:59:20.701167Z digest=sha256:82fdf33c75fba2025f336b2a41269186fd941a92ec6b01c08f95c9e391755f90

Observation 6ebc9a96-6f96-4129-b60c-744d1ce870ac · outbound

This paper cites Matroid Theory.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Matroid Theory

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.942688Z

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=2026-08-09T17:59:20.704280Z digest=sha256:c289e311137c1538f0a3ec67eaacad2d28b4ca24b4ec94668503aa6bb890372e

Observation 7bbe20c4-7b15-4bf9-a2ed-c4ab22c71246 · outbound

This paper cites Piff and Dominic J.A.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Piff and Dominic J.A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.932254Z

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=2026-08-09T17:59:20.707065Z digest=sha256:2378799b02d2e60908d01970d9e7011f2ca64df86812de9222fec737502b3f94

Observation 9078cb74-abbd-4613-9ecf-deedeeeaf555 · outbound

This paper cites Rybnikov.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Rybnikov

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.921901Z

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=2026-08-09T17:59:20.710100Z digest=sha256:24dde5acb7e5b3352db36ac3d2808a85f97f21ad5f1ab1c16cd1a706d77323fc

Observation 53b9c98e-fe94-49c5-8f91-aec5d8c632de · outbound

This paper cites The Maximum Matroid of a Graph.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties The Maximum Matroid of a Graph

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-09T17:59:20.713038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T17:59:20.713038Z digest=sha256:ad525d66ce201d5ffa5a9b5ea2b3a92781327965b75bd8d1c92cf7d9a7a9f4be

Observation 8bf91acd-d8a0-42e9-a6fe-cf2b7a0f3a07 · outbound

This paper cites Murphy’s law in algebraic geometry: badly-behaved deformation spaces.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Murphy’s law in algebraic geometry: badly-behaved deformation spaces

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.911316Z

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=2026-08-09T17:59:20.716684Z digest=sha256:d7269559acd6af6676e6c97fe381d4b7395995468ef5f6e5a3b7ace72bc05a03

Observation 57a74af5-f2f1-46eb-8868-86f22488e3a7 · outbound

This paper cites Some matroids from descrete applied geometry , volume 197.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties Some matroids from descrete applied geometry , volume 197

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.900929Z

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=2026-08-09T17:59:20.720511Z digest=sha256:d29bafc26561f09a2a5753cdc5c8434192fa993788c9e3aa3543e3bad799c58d

Observation 4037544c-3afe-45e4-b289-0832ed8fb92d · outbound

This paper cites On the abstract properties of linear dependence.

Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties On the abstract properties of linear dependence

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-09T17:59:20.889730Z

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=2026-08-09T17:59:20.723102Z digest=sha256:032cae3116c612674d62954bd4c5d9a6b8283a8634be93a50ae21296fd7347af

Pith citing papers

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

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids cites this paper.

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