Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:25:02.508204Z
Paper Citation Record · LEDGER
On the monomial reduction number of a monomial ideal in $K[x,y]$
As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.03765.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation be20bbc8-7928-4174-ad54-a59eea52e4e7 · outbound
This paper cites Bruns and J.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Bruns and J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.606036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eec1699c-ed59-45cf-9f2d-afeaa4d455c7 · outbound
This paper cites Gruson, R.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Gruson, R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.598272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4c03ed5f-d916-4cf1-ae24-18326d1ac969 · outbound
This paper cites Herzog and T.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Herzog and T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.590212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34cccb58-8dd2-4049-b05d-96da01d244f0 · outbound
This paper cites Hoa, Reduction numbers and Rees algebras of powers of an id eal, Proc.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Hoa, Reduction numbers and Rees algebras of powers of an id eal, Proc
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.581193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e1927fde-8cda-4de5-ba6f-52afcc7b232b · outbound
This paper cites Hoa and J.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Hoa and J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.570661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33312ae8-674f-44ae-bdd9-d2c58d986873 · outbound
This paper cites H Hardy and E.
On the monomial reduction number of a monomial ideal in $K[x,y]$ H Hardy and E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.561674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2ab5a514-8577-42aa-99e1-d07a04d6cb43 · outbound
This paper cites Singla, Minimal monomial reductions and the reduced fiber ring o f an extremal ideal, Illinois J.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Singla, Minimal monomial reductions and the reduced fiber ring o f an extremal ideal, Illinois J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.553545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c5b0c834-7f31-478a-bd1a-4f045273c6d0 · outbound
This paper cites Trung, Reduction exponent and degree bound for the defin ing equations of graded rings, Proc.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Trung, Reduction exponent and degree bound for the defin ing equations of graded rings, Proc
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.545077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation de2e2b32-8ad0-4576-98c1-93ff995ae0ce · outbound
This paper cites Swanson and C.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Swanson and C
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.537022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f0287a25-fa05-42eb-82ea-e14512be4d2e · outbound
This paper cites Vasconcelos, The reduction number of an algebra, Composit io Mathematica, 104, (1996) 189–197.
On the monomial reduction number of a monomial ideal in $K[x,y]$ Vasconcelos, The reduction number of an algebra, Composit io Mathematica, 104, (1996) 189–197
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:25:02.529249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.