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Paper Citation Record · LEDGER

Extremal behavior of reduced type of one dimensional rings

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2306.17069.

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

pith.paper-citation-record.v1
2306.17069 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:45:13.268825Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 02b82a7a-9bf2-41a5-8015-ff7c6169f647 · inbound

Nearly Gorenstein and almost symmetric properties in shifted numerical semigroups cites this paper.

Nearly Gorenstein and almost symmetric properties in shifted numerical semigroups Extremal behavior of reduced type of one dimensional rings

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T07:45:13.268825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T07:45:13.268825Z digest=sha256:ff66b2f5bd2c89c00d58bf0e6eac769814ea2c1226c2520afba640b0a44b8c92

Observation 9384e67f-aedd-4537-86ca-f7b6605df3f6 · inbound

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound cites this paper.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Extremal behavior of reduced type of one dimensional rings

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T07:06:35.322813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T07:06:35.322813Z digest=sha256:5f4aa5a2cc927c2472879038bdf80c35d24c50da85161d99612efa14a034c4a1