Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:01:08.615648Z
Paper Citation Record · LEDGER
Elasticity in Apery sets
As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.06448.
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
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy17
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 78e51cca-3768-48e7-99a7-e287297dedf5 · outbound
This paper cites Numerical semigroups and Kunz polytopes.
Elasticity in Apery sets Numerical semigroups and Kunz polytopes
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:09.023752Z
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 1b7e8edc-f281-4240-aa66-efd48607d47c · outbound
This paper cites Sur les branches superlin´ eaires des courbes alg´ ebriques.C.
Elasticity in Apery sets Sur les branches superlin´ eaires des courbes alg´ ebriques.C
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:09.003204Z
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 7a9d18b1-1e45-42e6-9c56-fe11fb8faba2 · outbound
This paper cites Garc´ ıa-S´ anchez.Numerical semigroups and applications , volume 1 of RSME Springer Series.
Elasticity in Apery sets Garc´ ıa-S´ anchez.Numerical semigroups and applications , volume 1 of RSME Springer Series
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.985880Z
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 2c304935-8dbd-4e8d-8582-98b2b2d77107 · outbound
This paper cites an unresolved cited work.
Elasticity in Apery sets Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:08.967362Z
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 a87d591d-5a36-4d8f-870c-8682a2ca5ff5 · outbound
This paper cites On the set of elasticities in numerical monoids.
Elasticity in Apery sets On the set of elasticities in numerical monoids
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.948800Z
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 77e79353-e6dd-4e72-9187-3c01ba5efe11 · outbound
This paper cites Numerical semigroups and codes.
Elasticity in Apery sets Numerical semigroups and codes
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.930482Z
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 ca443564-3297-4b8b-a5a9-d620a7471c98 · outbound
This paper cites an unresolved cited work.
Elasticity in Apery sets Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:08.907970Z
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 b931b43d-37b7-410e-b81e-d486a0163ac7 · outbound
This paper cites Chapman and Chris O’Neill.
Elasticity in Apery sets Chapman and Chris O’Neill
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.887146Z
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 ff7c0a4b-adfd-46c2-b0ae-92f17fbcac6d · outbound
This paper cites Factorization length distribu- tion for affine semigroups I: Numerical semigroups with three generators.
Elasticity in Apery sets Factorization length distribu- tion for affine semigroups I: Numerical semigroups with three generators
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.869798Z
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 2013437e-280f-40b5-98e1-dd75244fe9e9 · outbound
This paper cites Non-unique factorizations , volume 278 of Pure and Applied Mathematics (Boca Raton).
Elasticity in Apery sets Non-unique factorizations , volume 278 of Pure and Applied Mathematics (Boca Raton)
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.853537Z
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 4b05c767-46c3-431a-8171-5d194832a999 · outbound
This paper cites Augmented Hilbert series of numerical semigroups.
Elasticity in Apery sets Augmented Hilbert series of numerical semigroups
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.838447Z
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 60f11549-b731-4ad1-ae17-1b60fd565195 · outbound
This paper cites Irreducible factorization lengths and the elasticity problem within N.
Elasticity in Apery sets Irreducible factorization lengths and the elasticity problem within N
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.817838Z
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 e14aef19-38e0-4a7c-a8af-a07e55d3a648 · outbound
This paper cites Counting numerical semigroups by genus and some cases of a question of Wilf.
Elasticity in Apery sets Counting numerical semigroups by genus and some cases of a question of Wilf
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.799135Z
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 9c36bff4-0050-4f42-a011-a5219bedf6b6 · outbound
This paper cites Counting numerical semigroups.
Elasticity in Apery sets Counting numerical semigroups
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.768135Z
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 9660d55c-06f2-4676-bfae-3088fdd6cd94 · outbound
This paper cites Numerical semigroups on compound sequences.
Elasticity in Apery sets Numerical semigroups on compound sequences
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.749027Z
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 e9418351-ccdd-45f2-aa32-455bb810bd33 · outbound
This paper cites Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers.
Elasticity in Apery sets Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.725441Z
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 8bfbb37d-be40-4f8b-aa1e-552a234323dd · outbound
This paper cites How do you measure primality? Amer.
Elasticity in Apery sets How do you measure primality? Amer
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.702713Z
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 5d75561e-9773-4343-8d6e-fc2ea08327fd · outbound
This paper cites an unresolved cited work.
Elasticity in Apery sets Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:08.687515Z
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 467f0661-2b06-4664-b867-2890a7410235 · outbound
This paper cites money-changing problem.
Elasticity in Apery sets money-changing problem
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.668718Z
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 db8c2911-3ded-49c2-86ff-a23381b3d3e1 · outbound
This paper cites Fibonacci-like growth of numerical semigroups of a given genus.
Elasticity in Apery sets Fibonacci-like growth of numerical semigroups of a given genus
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:08.654737Z
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.