Paper Citation Record · LEDGER

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.09163.

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

pith.paper-citation-record.v1
2607.09163 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T04:59:34.692515Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact3
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f2d18bb-b5f4-43d6-99bb-c5a766e01a2b · outbound

This paper cites an unresolved cited work.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff1c30fa-96c9-4368-ae47-459bb1561766 · outbound

This paper cites Arri and J.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Arri and J

Reference 2

Resolution: verified exact; doi, observed 2026-07-13T05:09:24.982127Z

Source-reported events for the cited work

correction dated 2017-01-13. Source: crossref record 10.1016/j.jsc.2016.12.002->10.1016/j.jsc.2011.05.004:correction, observed 2026-07-11T03:17:28.846397+00:00. This notice travels one citation hop only.

Observation c73706a3-f661-48a9-ac4f-3b742b1cdda4 · outbound

This paper cites Buchberger, An algorithm for finding the basis elements of the residue class ring of a zero-dimensional polynomial ideal, Journal of Symbolic Computation, 41 (2006), no.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Buchberger, An algorithm for finding the basis elements of the residue class ring of a zero-dimensional polynomial ideal, Journal of Symbolic Computation, 41 (2006), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd5f7a83-2864-4620-a315-d1ca91602835 · outbound

This paper cites an unresolved cited work.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e20ccdc6-e18e-4a11-bc92-91e1001cc052 · outbound

This paper cites Faugère, A new efficient algorithm for computing Gröbner bases (F4), Journal of Pure and Applied Algebra, 139 (1999), 61–88.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Faugère, A new efficient algorithm for computing Gröbner bases (F4), Journal of Pure and Applied Algebra, 139 (1999), 61–88

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5e86819-5b8f-4b53-afbb-995209fcba2b · outbound

This paper cites an unresolved cited work.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cdf909e-ab2f-4b86-a3bd-62c6975941ce · outbound

This paper cites Eder and T.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Eder and T

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5e6a51c-5294-4766-a6ca-fc35b5be4c87 · outbound

This paper cites Eder and J.-C.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Eder and J.-C

Reference 8

Resolution: verified exact; doi, observed 2026-07-13T05:09:24.985385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 943d4431-e083-4f60-a3d0-a1fe82669e3d · outbound

This paper cites Eder and J.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Eder and J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09aa0d66-bd09-473f-8dd2-df1448dbdde5 · outbound

This paper cites Francis and T.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Francis and T

Reference 10

Resolution: verified exact; doi, observed 2026-07-13T05:09:24.978346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aaac34d0-e8e6-493b-a7c5-2515b92f2c03 · outbound

This paper cites Faugère, P.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Faugère, P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7478d4c-34c5-40ef-aeb7-05382478b199 · outbound

This paper cites Lazard, Solving zero-dimensional algebraic systems, Journal of Symbolic Computation, 13 (1992), no.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Lazard, Solving zero-dimensional algebraic systems, Journal of Symbolic Computation, 13 (1992), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a7ed706-9cb3-47ee-b36d-ed7d6ed5d213 · outbound

This paper cites von zur Gathen and J.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation von zur Gathen and J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ad4bb54-a71a-4cdb-a9fc-e4123bed2651 · outbound

This paper cites an unresolved cited work.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf6057d3-9738-4dc7-b399-16bb36712bd4 · outbound

This paper cites The Proper Basis for Polynomial Ideals.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation The Proper Basis for Polynomial Ideals

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46979bcb-bf8d-4ee9-ba61-35427289a8b2 · outbound

This paper cites an unresolved cited work.

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T04:59:34.692515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.