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Paper Citation Record · LEDGER

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound

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.

pith.paper-citation-record.v1
2607.11093 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T07:06:35.322813Z

measured 14 of 14 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 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

14 of 14 outbound references displayed

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  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9d1f041c-b6e6-4ea2-82f8-605224a6384d · outbound

This paper cites Delgado, P.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Delgado, P

Reference 1

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=sha256:51c93bc5814d98b46d8f913c3a200007291a07798f49b6bdf035fb16701e47ec

Observation 1d2c71d4-362d-4822-8990-816187a475fb · outbound

This paper cites Fr¨ oberg, C.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Fr¨ oberg, C

Reference 2

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=sha256:15036f2e3726019ad51f8027e702472d2b673a7fb3b5183b67b174067dcbf009

Observation 10aa171b-b74d-4729-b4a8-19f9c305601e · outbound

This paper cites an unresolved cited work.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work

Reference 3

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:c36a6dcf562bc7b7831f7dacafa92122826195f3a68329ef1fa709522cdadd79

Observation 36e271c6-8b1f-4cf7-9bd1-ed744e979c10 · outbound

This paper cites Herzog, T.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Herzog, T

Reference 4

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:b7951505f4076ce390e8fa1caf3f3f5b8c6b95d6ae5b5e0669229c13929e0dad

Observation 0cfc830b-4f01-4155-bcd4-97976bbde839 · outbound

This paper cites Herzog and S.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Herzog and S

Reference 5

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:b802d766679157ddbce0c9a466698dc8ed3cb02101e08b206989658dd25b9bb0

Observation 0ac1d427-9fe0-46aa-9bcd-9a050d8f731b · outbound

This paper cites Herzog, S.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Herzog, S

Reference 6

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:a921479a8f7c0a14f45ea8e5fd429da1390551ec11285a49ed295582f33f1efb

Observation 67c0dfe4-58ef-4d3d-a17c-1751534e1972 · outbound

This paper cites Huneke, S.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Huneke, S

Reference 7

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=sha256:35c8a351c8920b6b314f5b44dc20f6cc970876af18ce517b4088ebca03f9de9c

Observation db6b3f1c-32d7-4627-a6ce-8530bcfab7ad · outbound

This paper cites Kohonen and J.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Kohonen and J

Reference 8

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:a8fa8e691bf2dbcce3bc83afd6cfb697bb836596019b01849ff7bf49d0f9fb05

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

This paper cites Extremal behavior of reduced type of one dimensional rings.

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

Observation 5aaf944b-5b39-41f1-a4f3-0ec998d78dae · outbound

This paper cites Rohrbach.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Rohrbach

Reference 10

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:d341b635a312ff51efb5ef9a56e32dbfedf492fd02d28d099fe5b86a327981b3

Observation e06340d5-824f-4c70-ad60-6b7111d947e9 · outbound

This paper cites an unresolved cited work.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work

Reference 11

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:c3b138c7634fcd4a43126f64c73ec9eae9c3f7dfeb182c9d59116bb06017aec9

Observation e753ebb9-f7ee-49d3-831f-dc2e4c585579 · outbound

This paper cites an unresolved cited work.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Unresolved cited work

Reference 12

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:ed5951750c95659c8d6842fdcff08c849669e7b49e07260b051b17037e7c5d8f

Observation c1e73b56-c55f-4355-886a-462b1eae948d · outbound

This paper cites Sugawara.

Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound Sugawara

Reference 13

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=sha256:3bda05b36c663a790b0802b41b02f05299b883cf194ecd1dc89c0a437e33267b

Observation e5f5daf9-8038-448a-89a6-d7601fa6f32e · outbound

This paper cites GAP – Groups, Algorithms, and Programming, Version 4.12.1, 2022.

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

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:d8b3981100507950f03fcaba855d26d73a040dab403f6624788583ae5c6677c8

Pith citing papers

No inbound Pith citation observations are available.