Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T16:19:29.633921Z
Paper Citation Record · LEDGER
Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups
As of 13 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-08T02:19:24.119459Z
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.