Paper Citation Record · LEDGER

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.17010.

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

pith.paper-citation-record.v1
2411.17010 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:50:44.674509Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

17 of 17 outbound references displayed

verified exact1
verified fuzzy15
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9af429b7-b772-4311-b9f2-2a6538690b59 · outbound

This paper cites Adams, R.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Adams, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.948258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 901e75db-5b78-4873-8118-84b1b8aedc1e · outbound

This paper cites Aliev, J.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Aliev, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.933959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa9161b4-fd15-4c3a-b607-ab0f745c0967 · outbound

This paper cites an unresolved cited work.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:50:44.920263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 55290e0c-ae7d-41ca-a470-3ee2889bd4b9 · outbound

This paper cites Assi and P.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Assi and P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.907090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c843befb-6b7f-4851-aef8-6629faf94094 · outbound

This paper cites Baginski and S.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Baginski and S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.894051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b9368455-1b6c-4702-b1dc-e5cbbf142898 · outbound

This paper cites Banister, J.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Banister, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.880235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 63898880-9e0d-4918-8bbf-7ddfece6b74b · outbound

This paper cites Barron, C.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Barron, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.865334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6784dbef-4c68-453d-b9a9-f9796a5ceac2 · outbound

This paper cites Beck and S.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Beck and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.851183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47be937f-ef98-41af-9749-4c6f45b7654c · outbound

This paper cites Delgado, P.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Delgado, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.837464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4840e1ed-83e8-4876-a064-272cd91a7637 · outbound

This paper cites Geroldinger, Sets of lengths , Amer.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Geroldinger, Sets of lengths , Amer

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.822925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77d067f7-1209-4894-8d91-d819dc46034c · outbound

This paper cites Geroldinger and F.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Geroldinger and F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.808614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a937fca-8ed9-4fe8-8d06-9674f621083e · outbound

This paper cites Hartzer and C.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Hartzer and C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.792995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8575cba-8cdf-4e5b-b6b9-1e65923a3f42 · outbound

This paper cites The structure theorem for sets of length for numerical semigroups.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids The structure theorem for sets of length for numerical semigroups

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:50:44.716245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a879423e-5158-4cb9-9a6c-47f41d793b6d · outbound

This paper cites O’Neill, numsgps-sage (Sage software), https://github.com/coneill-math/numsgps-sage.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids O’Neill, numsgps-sage (Sage software), https://github.com/coneill-math/numsgps-sage

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.778159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 084c342e-63fa-4353-bed1-f62289204a47 · outbound

This paper cites O’Neill and R.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids O’Neill and R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.763858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6cb52ba4-b4ef-4cbd-80eb-c04e3cd3b87e · outbound

This paper cites Ram ´ ırez Alfons ´ ın,The Diophantine Frobenius problem, Oxford Lecture Series in Math- ematics and its Applications, 30.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Ram ´ ırez Alfons ´ ın,The Diophantine Frobenius problem, Oxford Lecture Series in Math- ematics and its Applications, 30

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.749700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3e771817-9beb-457a-a101-a9f385bd3930 · outbound

This paper cites Rosales and P.

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids Rosales and P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:50:44.731941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.