Paper Citation Record · LEDGER

On near atomicity and a characterization of the FF property

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2606.25227.

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

pith.paper-citation-record.v1
2606.25227 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T21:17:27.384336Z

measured 33 of 33 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

33 of 33 outbound references displayed

verified exact5
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 516e9858-c0ef-40c7-a430-61c82fbcb0d5 · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ed88e20-e71d-4e29-91b9-842eded070fe · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d3bade6-af61-4ff9-bb4c-07ea71944c11 · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20c8ed8b-44e1-4fc9-ac73-af1867c28be8 · outbound

This paper cites Benelmekki and S.

On near atomicity and a characterization of the FF property Benelmekki and S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ddbc16a-ec19-4a0b-b740-c7eeb445dbc7 · outbound

This paper cites Boynton and J.

On near atomicity and a characterization of the FF property Boynton and J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 420aea41-734a-4d53-8087-0d1cf5603662 · outbound

This paper cites One-dimensional monoid algebras and ascending chains of principal ideals.

On near atomicity and a characterization of the FF property One-dimensional monoid algebras and ascending chains of principal ideals

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:30:07.617422Z

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 59b581c7-d94f-4f36-a8a9-41ca8b8219db · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02d6fc7a-cd34-4f84-b39d-f68fd0cc3f87 · outbound

This paper cites Coykendall and F.

On near atomicity and a characterization of the FF property Coykendall and F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff7bccf0-16f9-482e-8f9c-383f6fab654a · outbound

This paper cites Coykendall and F.

On near atomicity and a characterization of the FF property Coykendall and F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8269ab13-9575-4697-95c0-4f3283a71da6 · outbound

This paper cites Du and F.

On near atomicity and a characterization of the FF property Du and F

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:30:07.622352Z

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 ca23b856-f093-42ef-bece-9f9e13e035d7 · outbound

This paper cites Eftekhari and M.

On near atomicity and a characterization of the FF property Eftekhari and M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 162e15ba-448c-4ee2-9039-2af16cc3ae48 · outbound

This paper cites Geroldinger and F.

On near atomicity and a characterization of the FF property Geroldinger and F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eef75c8-e9b2-4ae3-9ebb-43dae6771ede · outbound

This paper cites Geroldinger and F.

On near atomicity and a characterization of the FF property Geroldinger and F

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb7b4dd3-6635-4d8a-bfa7-0c40f26bd9b3 · outbound

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

On near atomicity and a characterization of the FF property Gilmer,Commutative Semigroup Rings, The University of Chicago Press, 1984

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d473e30-7934-4add-b60e-f3afcd686038 · outbound

This paper cites On the ascent of almost and quasi-atomicity to monoid semidomains.

On near atomicity and a characterization of the FF property On the ascent of almost and quasi-atomicity to monoid semidomains

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:30:07.619802Z

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 08d1f10d-a224-47b3-a9c0-d05401841312 · outbound

This paper cites On GL-domains and the ascent of the IDF property.

On near atomicity and a characterization of the FF property On GL-domains and the ascent of the IDF property

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:30:07.624867Z

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 b60a9477-8899-456d-838c-7e0af9a95bc3 · outbound

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

On near atomicity and a characterization of the FF property Gotti,Increasing positive monoids of ordered fields are FF-monoids, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19ecf585-4ee9-4760-9c2f-890b0899f32a · outbound

This paper cites Gotti and B.

On near atomicity and a characterization of the FF property Gotti and B

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4e21f37-9c2b-4ab0-86a8-cf156bb2b586 · outbound

This paper cites Divisibility and a weak ascending chain condition on principal ideals.

On near atomicity and a characterization of the FF property Divisibility and a weak ascending chain condition on principal ideals

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:30:07.627387Z

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 9417b8c7-cbbb-49a9-8483-719fc4e1f2a5 · outbound

This paper cites Gotti and H.

On near atomicity and a characterization of the FF property Gotti and H

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42567670-4728-41ca-ad90-d847135e8d79 · outbound

This paper cites Gotti and H.

On near atomicity and a characterization of the FF property Gotti and H

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2629c9cf-238d-40b7-a19d-08f9ea54f352 · outbound

This paper cites Gotti and J.

On near atomicity and a characterization of the FF property Gotti and J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d87c2f85-d341-4894-9383-1b33c4e54f98 · outbound

This paper cites Gotti and M.

On near atomicity and a characterization of the FF property Gotti and M

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a68d7b62-65cb-4f70-aafe-59c220d3b869 · outbound

This paper cites Grams,Atomic rings and the ascending chain condition for principal ideals, Math.

On near atomicity and a characterization of the FF property Grams,Atomic rings and the ascending chain condition for principal ideals, Math

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7e36f29-9177-48ab-9664-74c1c3cf9bce · outbound

This paper cites Grams and H.

On near atomicity and a characterization of the FF property Grams and H

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation affdab22-f126-4510-89c7-e2463930b8c7 · outbound

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

On near atomicity and a characterization of the FF property Halter-Koch,Finiteness theorems for factorizations, Semigroup Forum44(1992) 112–117

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4ca1078-c962-4955-9edc-e6a8df323b15 · outbound

This paper cites Jiang, S.

On near atomicity and a characterization of the FF property Jiang, S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a065968-8af4-4f65-8043-0ddb918fbcb3 · outbound

This paper cites Lebowitz-Lockard,On domains with properties weaker than atomicity, Comm.

On near atomicity and a characterization of the FF property Lebowitz-Lockard,On domains with properties weaker than atomicity, Comm

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67b13c1a-4e8a-4d8e-ba0e-ec0138df30d8 · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aaa0174-448f-4820-96e4-83acd6908d03 · outbound

This paper cites an unresolved cited work.

On near atomicity and a characterization of the FF property Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bf69a1f-c7a4-4d35-9b85-d820051a1c7f · outbound

This paper cites Malcolmson and F.

On near atomicity and a characterization of the FF property Malcolmson and F

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c95acdf7-985a-4864-aeba-ebe61256214d · outbound

This paper cites Roitman,Polynomial extensions of atomic domains, J.

On near atomicity and a characterization of the FF property Roitman,Polynomial extensions of atomic domains, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bcbe82e-2b6b-45ef-8daa-4bb8ed18f298 · outbound

This paper cites Zaks,Atomic rings without a.c.c.

On near atomicity and a characterization of the FF property Zaks,Atomic rings without a.c.c

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-25T21:17:27.384336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.