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Paper Citation Record · LEDGER

The SagbiHomotopy.jl package for solving polynomial systems

As of 7 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2506.06264.

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

pith.paper-citation-record.v1
2506.06264 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:11:28.260490Z

measured 12 of 12 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 2026-08-01T16:48:05.855663Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bac6cf41-eab9-4406-bfbc-2a082e265db7 · outbound

This paper cites Bertini: Software for Numerical Algebraic Geometry.

The SagbiHomotopy.jl package for solving polynomial systems Bertini: Software for Numerical Algebraic Geometry

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.411794Z

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=2026-08-07T06:11:28.219660Z digest=sha256:4eeb33477894a45acc6cfbaa5481cbb2298dc0f2a65947a3c8dc917950189861

Observation b632bbe7-fd2b-48b1-ae94-b4865b62369f · outbound

This paper cites Polyèdres de Newton et nombres de Milnor.

The SagbiHomotopy.jl package for solving polynomial systems Polyèdres de Newton et nombres de Milnor

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.370839Z

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=2026-08-07T06:11:28.248411Z digest=sha256:0a510aa9a6525df875f62f44ead5abcca91a53c6ed9093688191723d5f2292da

Observation 73649f0e-6e02-4070-9145-8e2c2c5f5a23 · outbound

This paper cites Algebraic Equations and Convex Bodies.

The SagbiHomotopy.jl package for solving polynomial systems Algebraic Equations and Convex Bodies

Reference 159

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.381817Z

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=2026-08-07T06:11:28.244400Z digest=sha256:4e82f2d757907876fb72839fbda5db38b322bbe0276e7b180cefe9cd04f11296

Observation f6dd9fac-8623-4695-b785-ccd84323ef0d · outbound

This paper cites New York: Springer, 2005, pp.

The SagbiHomotopy.jl package for solving polynomial systems New York: Springer, 2005, pp

Reference 227

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.359462Z

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=2026-08-07T06:11:28.252653Z digest=sha256:0ba6663627cdcc15a699fa5efc05cbbc92859cf9cb382d529b185be4bd367c7a

Observation e8074541-321b-49d5-9a81-852c1b98d318 · outbound

This paper cites Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation.

The SagbiHomotopy.jl package for solving polynomial systems Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation

Reference 1996

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.336937Z

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=2026-08-07T06:11:28.260490Z digest=sha256:84b22e2d8f53a9f06d1d95022412ebd8eced97fe76796e07ef6fa4e4372c6186

Observation 0a527074-989a-4d47-be22-6690c510b576 · outbound

This paper cites A Polyhedral Method for Solving Sparse Polyno- mial Systems.

The SagbiHomotopy.jl package for solving polynomial systems A Polyhedral Method for Solving Sparse Polyno- mial Systems

Reference 2000

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.391676Z

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=2026-08-07T06:11:28.240591Z digest=sha256:656fbe03af5d46a59a371ede9c859a8211181db7f78257da3c11c7c72750cea3

Observation 9dd728ce-fb94-4ff8-b635-b5057076990a · outbound

This paper cites Homotopy continuation methods for coupled-cluster theory in quantum chemistry.

The SagbiHomotopy.jl package for solving polynomial systems Homotopy continuation methods for coupled-cluster theory in quantum chemistry

Reference 2003

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T06:11:28.295760Z

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=2026-08-07T06:11:28.236398Z digest=sha256:eaaa8d1ed7a54ad1523a37f3ed241a2e5fba58eeb555ddadcf68ca3287eeff03

Observation 11df93b9-bdb4-4f47-94a3-a6d533a0094b · outbound

This paper cites Coefficient-parameter polynomial con- tinuation.

The SagbiHomotopy.jl package for solving polynomial systems Coefficient-parameter polynomial con- tinuation

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.347953Z

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=2026-08-07T06:11:28.256137Z digest=sha256:dde4d9fccca9740d190dae21fec607c43fd68d585974153a02067385572b05d2

Observation d03de062-c542-42b9-935b-21943f096f10 · outbound

This paper cites Coupled cluster degree of the Grassmannian.

The SagbiHomotopy.jl package for solving polynomial systems Coupled cluster degree of the Grassmannian

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:11:28.402063Z

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=2026-08-07T06:11:28.232151Z digest=sha256:24c9bec2f80ceac6ca87c95736eb7be0dafb4457a1693214409effb1cf1a3ad7

Observation f1d7f619-0326-436e-a832-b513c463ede9 · outbound

This paper cites A survey on toric degenerations of projective varieties.

The SagbiHomotopy.jl package for solving polynomial systems A survey on toric degenerations of projective varieties

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:11:28.310589Z

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=2026-08-07T06:11:28.228159Z digest=sha256:ac47d197e09980e018c51fa84006af6f4381f660839a4eb8e9ebca755ecdc1e7

Observation 133783b3-a133-476f-b202-8e4838d67f73 · outbound

This paper cites SAGBI and Gr\"obner Bases Detection.

The SagbiHomotopy.jl package for solving polynomial systems SAGBI and Gr\"obner Bases Detection

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:11:28.324440Z

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=2026-08-07T06:11:28.224030Z digest=sha256:52e61c4f7e5ecada75da06ac6107f1edbd0a7c2a056477f8575e2390d4e87be0

Pith citing papers

Observation af138f93-a0fb-4a2a-bd29-3ad7e95f586b · inbound

Degenerating Discriminants cites this paper.

Degenerating Discriminants The SagbiHomotopy.jl package for solving polynomial systems

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-01T16:48:05.855663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:48:05.855663Z digest=sha256:952813c151a4136780499b26c93eda7024a59bd8f1a252cf28ccc5e4baa87136