Paper Citation Record · LEDGER

Hilbert series of second order jets of determinantal varieties

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.00681.

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

pith.paper-citation-record.v1
2507.00681 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:19:11.124817Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

10 of 10 outbound references displayed

verified exact1
verified fuzzy9
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f5fc767-c9a6-40d1-b643-26e944c449a4 · outbound

This paper cites Bruns and A.

Hilbert series of second order jets of determinantal varieties Bruns and A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:13.152434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 10fc498c-509a-4ad2-a9ba-509d96160549 · outbound

This paper cites On jet schemes of determinantal varieties.

Hilbert series of second order jets of determinantal varieties On jet schemes of determinantal varieties

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:19:11.318553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 657b06b0-3404-4109-97af-f5461ab9ab82 · outbound

This paper cites Conca and J.

Hilbert series of second order jets of determinantal varieties Conca and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:12.933689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a813117f-45df-46df-b565-47617f13ba95 · outbound

This paper cites Ein and M.

Hilbert series of second order jets of determinantal varieties Ein and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:12.734004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8d475b11-42a6-4d0c-a7bf-b59d49a44452 · outbound

This paper cites Ghorpade, B.

Hilbert series of second order jets of determinantal varieties Ghorpade, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:12.579433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d0e15c90-d213-4bda-bdc6-b43dbd70b5aa · outbound

This paper cites Jonov, Initial complex associated to a jet scheme of a determinantal variety, J.

Hilbert series of second order jets of determinantal varieties Jonov, Initial complex associated to a jet scheme of a determinantal variety, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:12.377139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a4b3af5-79d7-49fe-8c0a-5128759e5c5c · outbound

This paper cites Kemper, A Course in Commutative Algebra, Springer-Verlag, Berlin, Heidelberg, 2011, pp.117-127.

Hilbert series of second order jets of determinantal varieties Kemper, A Course in Commutative Algebra, Springer-Verlag, Berlin, Heidelberg, 2011, pp.117-127

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:12.212060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 298ff9a7-9fc0-461a-a4f7-7908db86ccde · outbound

This paper cites Koˇ sir and B.

Hilbert series of second order jets of determinantal varieties Koˇ sir and B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:11.970022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fea09e41-c42e-48f6-85d9-e72282b0aa4a · outbound

This paper cites Nash, Arc structure of singularities, Duke Math.

Hilbert series of second order jets of determinantal varieties Nash, Arc structure of singularities, Duke Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:11.737519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e584fbd0-805f-40e1-965c-da899664479a · outbound

This paper cites Sturmfels, Gr¨ obner bases and Stanley decompositions of determinantal rings, Math.

Hilbert series of second order jets of determinantal varieties Sturmfels, Gr¨ obner bases and Stanley decompositions of determinantal rings, Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:11.523587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.