Paper Citation Record · LEDGER

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups

As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2411.13767.

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

pith.paper-citation-record.v1
2411.13767 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:19:29.633921Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T02:19:24.119459Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T22:51:22.969724Z

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy9
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e68aa1cf-86f0-4cf5-9019-479ea2feb0b0 · outbound

This paper cites 3, Springer Nature, 2020.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 3, Springer Nature, 2020

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.792537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 99ed72c5-bc10-46bf-bfbc-6baee6ca86d7 · outbound

This paper cites 1, 71--79.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 1, 71--79

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.783372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e13b171f-8f3e-40c4-b60a-71cd6437249a · outbound

This paper cites 2, 525--531.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 2, 525--531

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.774691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b44a55e4-dee5-43a4-87b6-9e6ba1a2699b · outbound

This paper cites 4, 292--293.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 4, 292--293

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.765945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8ffc607f-cd86-4fd7-869a-a8f80571f62c · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.756983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 25ede515-8ddc-480d-9146-943c91325007 · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.748318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93d8eb85-69c1-4aaa-a502-f74631048f18 · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.739691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9e725e22-50ab-40d3-8605-6f69404f061a · outbound

This paper cites 40, Springer, Cham, 2020, pp.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 40, Springer, Cham, 2020, pp

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.729915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 42aef130-add7-482a-ac3b-83aec617067d · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.720681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9b8d4bb3-5fc1-42e9-918e-3facb65aa217 · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.711274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 794faf30-ffe1-4b39-8e3a-e33fd4cd863d · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.702244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 21c728cf-3eb1-40d8-88b5-63dd313d6d23 · outbound

This paper cites 5, 469--473.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 5, 469--473

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.692579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4b75eac7-02ed-40dd-b75c-6aebed0239cd · outbound

This paper cites an unresolved cited work.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:19:29.683742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e90e5295-8e5c-4d3f-9d59-c97efa56fb69 · outbound

This paper cites 1, 211--232.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 1, 211--232

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.674807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a2a6fcf6-b387-40d4-b0a3-b95f133ae28b · outbound

This paper cites 105, Cambridge University Press, 2006.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups 105, Cambridge University Press, 2006

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.666022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c2a5ef45-195a-46ec-b646-9a0cc404c584 · outbound

This paper cites money-changing problem.

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups money-changing problem

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:19:29.656908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation f2bf9c4c-b757-4464-ab18-b2c5aba9e5dc · inbound

Gap sets of random generalized numerical semigroups cites this paper.

Gap sets of random generalized numerical semigroups Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:51:22.972675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.