Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:25:03.042494Z
Paper Citation Record · LEDGER
Numerical Semigroups generated by Primes
As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.09483.
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 2026-08-16T06:30:59.297886+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
Reference resolution
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a37f4b92-c73e-4c2f-8ff0-75f59ad04bff · outbound
This paper cites an unresolved cited work.
Numerical Semigroups generated by Primes Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:25:03.342066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation acf4c8ee-ffaf-432a-9de7-a4c196da5b5d · outbound
This paper cites Coppola, M.
Numerical Semigroups generated by Primes Coppola, M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.327522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 88d8bd1f-0fcd-4c3b-ab33-51aca6422797 · outbound
This paper cites Dusart,Autour de la fonction qui compte le nombre de nombres premiers, thèse, Université de Limoges, 1998, 171 pp.
Numerical Semigroups generated by Primes Dusart,Autour de la fonction qui compte le nombre de nombres premiers, thèse, Université de Limoges, 1998, 171 pp
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.311991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03ede558-6548-4b50-8422-901e4fda52ec · outbound
This paper cites Eliahou,Wilf’s conjecture and Macaulay’s theorem, J.
Numerical Semigroups generated by Primes Eliahou,Wilf’s conjecture and Macaulay’s theorem, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.296882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a47c6ca-d198-4f2f-92e2-f7886297b705 · outbound
This paper cites Erdős, R.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.281999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 51eb1b16-e7ae-4916-a17d-11563612867b · outbound
This paper cites Erdős, R.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.267230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5acc9eb2-a8eb-44c8-9afa-29f0259ef1be · outbound
This paper cites Kløve,Sums of distinct primes, Nordisk Mat.
Numerical Semigroups generated by Primes Kløve,Sums of distinct primes, Nordisk Mat
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.252410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3d7a72d9-e27f-4aa0-b681-6a459eb24a4b · outbound
This paper cites Matomäki, J.
Numerical Semigroups generated by Primes Matomäki, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.236608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b3443f5-51d1-41d6-8374-722df52e8702 · outbound
This paper cites an unresolved cited work.
Numerical Semigroups generated by Primes Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:25:03.221712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f7002504-cde9-49df-82ab-fae5b75b120e · outbound
This paper cites an unresolved cited work.
Numerical Semigroups generated by Primes Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:25:03.206647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cb9524ab-041a-4d00-af37-5851736f9a67 · outbound
This paper cites an unresolved cited work.
Numerical Semigroups generated by Primes Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:25:03.191372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9e1a97a4-82f6-4ed2-b1b5-625a57e0c033 · outbound
This paper cites Money-Changing Prob- lem.
Numerical Semigroups generated by Primes Money-Changing Prob- lem
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.175931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46cd021d-1ad9-4edc-9b92-1f40b1908081 · outbound
This paper cites Zhai, Fibonacci-like growth of numerical semigroups of a given genus, Semigroup Forum 86 (2013), 634–662.
Numerical Semigroups generated by Primes Zhai, Fibonacci-like growth of numerical semigroups of a given genus, Semigroup Forum 86 (2013), 634–662
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.160045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a267472-1200-493c-80c6-6f0b6dffe22b · outbound
This paper cites Date Accessed: May 27, 2019.
Numerical Semigroups generated by Primes Date Accessed: May 27, 2019
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.142303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c043a05-3a43-4087-8777-8a802847682f · outbound
This paper cites Date Accessed: May 27, 2019.
Numerical Semigroups generated by Primes Date Accessed: May 27, 2019
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.127165Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f03c2e04-7cdf-49ea-95fe-918be5ff8cbf · outbound
This paper cites Date Accessed: October 21, 2019.
Numerical Semigroups generated by Primes Date Accessed: October 21, 2019
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.111403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d791cbb1-8aea-4613-8fb6-2578df48dd3c · outbound
This paper cites Date Accessed: October 21, 2019.
Numerical Semigroups generated by Primes Date Accessed: October 21, 2019
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.096122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e35d87f-575c-4fa2-bf9e-6bbb40f0e8ac · outbound
This paper cites Date Accessed: October 21, 2019.
Numerical Semigroups generated by Primes Date Accessed: October 21, 2019
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:25:03.080335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.