Paper Citation Record · LEDGER

Factorizations in rational monogenic semidomains

As of 14 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.10178.

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

pith.paper-citation-record.v1
2607.10178 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T13:42:45.147990Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c363830a-1fbf-46d8-a453-843f6b94db76 · outbound

This paper cites Ajran, J.

Factorizations in rational monogenic semidomains Ajran, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cb76cfa-ba19-46ce-b791-c62994761248 · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a48cb7bd-d08e-4c9b-8e3c-f36698ceaf6c · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6e0f210-5e6d-4696-9c58-327fdcc35486 · outbound

This paper cites Campanini and A.

Factorizations in rational monogenic semidomains Campanini and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99bd92b9-2cce-421a-9997-945db0431214 · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 601d7035-dfd4-4de8-9e40-889645e03925 · outbound

This paper cites On three families of dense Puiseux monoids.

Factorizations in rational monogenic semidomains On three families of dense Puiseux monoids

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e628028d-d764-4ec4-a3a3-7e649f929b5a · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbc1e7d8-5ad8-4847-973d-0c3293ea580d · outbound

This paper cites Correa-Morris and F.

Factorizations in rational monogenic semidomains Correa-Morris and F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 593b54c8-1fb5-4a2d-aa86-c3d4b023b59b · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e69953b5-d97a-43f1-9a2d-9b09405863cb · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efde9287-3c53-4582-86c2-6e5d85d7af0d · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09dfdc40-1520-4a7c-b38c-85d719bfae7d · outbound

This paper cites Dubickas,On roots of polynomials with positive coefficients, Manuscripta Math.123(2007) 353–356.

Factorizations in rational monogenic semidomains Dubickas,On roots of polynomials with positive coefficients, Manuscripta Math.123(2007) 353–356

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5b0f8c1-6a05-4d0d-9d12-4e1cd42b1724 · outbound

This paper cites Fadinger, S.

Factorizations in rational monogenic semidomains Fadinger, S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99be58f6-8a41-453c-b9ee-9fa4e3414f5b · outbound

This paper cites Gilmer,Commutative Semigroup Rings, Chicago Lectures in Mathematics, The University of Chicago Press, 1984.

Factorizations in rational monogenic semidomains Gilmer,Commutative Semigroup Rings, Chicago Lectures in Mathematics, The University of Chicago Press, 1984

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27439e88-5c80-4500-a429-4fa0488d5781 · outbound

This paper cites Geroldinger and F.

Factorizations in rational monogenic semidomains Geroldinger and F

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67cb7af7-f2aa-47fc-bfd3-8d9067c8dc56 · outbound

This paper cites Gotti,Increasing positive monoids of ordered fields are FF-monoids, J.

Factorizations in rational monogenic semidomains Gotti,Increasing positive monoids of ordered fields are FF-monoids, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64df3587-172c-4d4f-be23-0a96b2bb0618 · outbound

This paper cites Gotti and M.

Factorizations in rational monogenic semidomains Gotti and M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c53c0a66-1c2b-4161-a624-52a2ff331a99 · outbound

This paper cites Halter-Koch,Finiteness theorems for factorizations, Semigroup Forum44(1992) 112–117.

Factorizations in rational monogenic semidomains Halter-Koch,Finiteness theorems for factorizations, Semigroup Forum44(1992) 112–117

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a117a9c4-a9de-4c6f-a362-d85125cb0b8d · outbound

This paper cites Jiang, B.

Factorizations in rational monogenic semidomains Jiang, B

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 617933b6-434d-475c-bdee-477d8f758a35 · outbound

This paper cites Kainrath,Factorization in Krull monoids with infinite class group, Colloq.

Factorizations in rational monogenic semidomains Kainrath,Factorization in Krull monoids with infinite class group, Colloq

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cacecadf-b538-47ff-bc24-bee196674a41 · outbound

This paper cites Lang,Algebra, Graduate Text in Mathematics, vol.211, Springer, New York, 2002.

Factorizations in rational monogenic semidomains Lang,Algebra, Graduate Text in Mathematics, vol.211, Springer, New York, 2002

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c0727d3-52c5-44c2-bae7-f46c0f773da1 · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e982424-d30e-44f6-ae93-df367142a370 · outbound

This paper cites Romanovsky,Un th´ eor` eme sur les z´ eros des matrices non n´ egatives, Bulletin de la Soci´ et´ e Math´ ematique de France.61(1933) 213–219.

Factorizations in rational monogenic semidomains Romanovsky,Un th´ eor` eme sur les z´ eros des matrices non n´ egatives, Bulletin de la Soci´ et´ e Math´ ematique de France.61(1933) 213–219

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d8b1aa-8a78-4600-804e-0170c7cba5e6 · outbound

This paper cites Tripathi,On the Frobenius Problem for Geometric Sequences, Electronic Journal of Combinatorial number theory8(2008) #A43.

Factorizations in rational monogenic semidomains Tripathi,On the Frobenius Problem for Geometric Sequences, Electronic Journal of Combinatorial number theory8(2008) #A43

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 498351be-98b5-4263-9c89-301b1a1796f0 · outbound

This paper cites an unresolved cited work.

Factorizations in rational monogenic semidomains Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T13:42:45.147990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.