Paper Citation Record · LEDGER

Principal vector-spread Borel ideals

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2507.07022.

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

pith.paper-citation-record.v1
2507.07022 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:02:11.045971Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

22 of 22 outbound references displayed

verified exact14
verified fuzzy1
unresolved4
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f75ffdc5-304f-4445-8006-6323004363f3 · outbound

This paper cites Amata, A.

Principal vector-spread Borel ideals Amata, A

Reference 1

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.477823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3cde097d-21d1-41ab-9774-70be7ab4fd31 · outbound

This paper cites Andrei, V.

Principal vector-spread Borel ideals Andrei, V

Reference 2

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.431839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc34256e-482b-4365-a455-8aaa33115486 · outbound

This paper cites Crupi, A.

Principal vector-spread Borel ideals Crupi, A

Reference 3

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.406440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f8f64118-c33a-40a4-956f-bbf7b3522321 · outbound

This paper cites Crupi, A.

Principal vector-spread Borel ideals Crupi, A

Reference 4

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.376501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b56c896-227d-4455-a19b-49b3a91ff3c6 · outbound

This paper cites Edge ideals whose all matching powers are bi-Cohen-Macaulay.

Principal vector-spread Borel ideals Edge ideals whose all matching powers are bi-Cohen-Macaulay

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:12.172611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2a489753-c036-4b30-94f5-7502fbabd62e · outbound

This paper cites De Negri, Toric rings generated by special stable sets of monomials.

Principal vector-spread Borel ideals De Negri, Toric rings generated by special stable sets of monomials

Reference 6

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T19:02:12.114406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2caa6f11-643a-4c66-87a9-760107585a90 · outbound

This paper cites an unresolved cited work.

Principal vector-spread Borel ideals Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.351005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f8d114fe-b4cc-412a-914a-8fe349e72324 · outbound

This paper cites DiPasquale, C.

Principal vector-spread Borel ideals DiPasquale, C

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-06T19:02:10.912642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8417a361-4a9e-402e-a132-24c28c5a3646 · outbound

This paper cites Eliahou, M.

Principal vector-spread Borel ideals Eliahou, M

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.275373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef0e6feb-1cf5-4e07-9e32-cd64ea0a042a · outbound

This paper cites an unresolved cited work.

Principal vector-spread Borel ideals Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:10.924514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79cd4ed3-1977-4657-a432-52330d5bd2c4 · outbound

This paper cites Ficarra, Vector-spread monomial ideals and Eliahou–Kervaire type resolutions.

Principal vector-spread Borel ideals Ficarra, Vector-spread monomial ideals and Eliahou–Kervaire type resolutions

Reference 11

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.230967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef815c34-e13f-4da3-814c-6fea9253f99f · outbound

This paper cites Homological Shift Ideals: Macaulay2 Package.

Principal vector-spread Borel ideals Homological Shift Ideals: Macaulay2 Package

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:11.862565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78411114-f332-4562-8909-0ebe3f3be719 · outbound

This paper cites Symbolic powers of polymatroidal ideals.

Principal vector-spread Borel ideals Symbolic powers of polymatroidal ideals

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:11.823127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e28f08a-fc95-4822-a08c-da06b3c643a0 · outbound

This paper cites an unresolved cited work.

Principal vector-spread Borel ideals Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:02:12.264855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 79bedad3-f294-464f-a629-bc651b00647e · outbound

This paper cites Herzog, T.

Principal vector-spread Borel ideals Herzog, T

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:10.981562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 599ed598-50df-450f-a5c9-2fd57d72252a · outbound

This paper cites Herzog, A.

Principal vector-spread Borel ideals Herzog, A

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.173120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ada7bfd-f502-438b-bcc9-12aa5e958cef · outbound

This paper cites Lax, SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness.

Principal vector-spread Borel ideals Lax, SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:02:11.788642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bb060d41-5db8-41fe-a385-e7e017c4c183 · outbound

This paper cites Moradi, F.

Principal vector-spread Borel ideals Moradi, F

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:12.233273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bbd044d0-4fa3-49be-8c01-432e3ac3b6c7 · outbound

This paper cites Normal Rees algebras arising from vertex decomposable simplicial complexes.

Principal vector-spread Borel ideals Normal Rees algebras arising from vertex decomposable simplicial complexes

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:11.659458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 217582f7-92eb-4c12-87b1-167659eea769 · outbound

This paper cites Nasernejad, A.

Principal vector-spread Borel ideals Nasernejad, A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:11.020979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 076432ce-882c-4215-ae14-73e28227de51 · outbound

This paper cites Sayedsadeghi, M.

Principal vector-spread Borel ideals Sayedsadeghi, M

Reference 21

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T19:02:12.203656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9dc7787b-aab0-4bdc-9242-2013f65d7e72 · outbound

This paper cites Sayedsadeghi, M.

Principal vector-spread Borel ideals Sayedsadeghi, M

Reference 22

Resolution: verified exact; doi, observed 2026-08-06T19:02:11.125486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.