Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T07:06:35.322813Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.11093.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T07:06:35.322813Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
14 of 14 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9d1f041c-b6e6-4ea2-82f8-605224a6384d · outbound
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d2c71d4-362d-4822-8990-816187a475fb · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Fr¨ oberg, C
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10aa171b-b74d-4729-b4a8-19f9c305601e · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36e271c6-8b1f-4cf7-9bd1-ed744e979c10 · outbound
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cfc830b-4f01-4155-bcd4-97976bbde839 · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Herzog and S
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ac1d427-9fe0-46aa-9bcd-9a050d8f731b · outbound
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67c0dfe4-58ef-4d3d-a17c-1751534e1972 · outbound
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db6b3f1c-32d7-4627-a6ce-8530bcfab7ad · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Kohonen and J
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9384e67f-aedd-4537-86ca-f7b6605df3f6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5aaf944b-5b39-41f1-a4f3-0ec998d78dae · outbound
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e06340d5-824f-4c70-ad60-6b7111d947e9 · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e753ebb9-f7ee-49d3-831f-dc2e4c585579 · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1e73b56-c55f-4355-886a-462b1eae948d · outbound
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5f5daf9-8038-448a-89a6-d7601fa6f32e · outbound
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound GAP – Groups, Algorithms, and Programming, Version 4.12.1, 2022
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.