Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:05:57.290033Z
Paper Citation Record · LEDGER
On finitary power monoids of linearly orderable monoids
As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 3 inbound Pith citation observations for arXiv:2501.03407.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-21T12:20:06.305556Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-21T12:24:10.799508Z
Reference resolution
27 of 27 outbound references displayed
- verified exact4
- verified fuzzy10
- unresolved12
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5a96d3f3-496d-4020-870d-a39f30b66322 · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.755811Z
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 a485f0c3-d32b-4308-b122-bea780b872dc · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.740753Z
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 f8f7cab7-defe-4f5b-9361-2f1a10481869 · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.724380Z
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 2e3b106b-b761-4f82-aa7c-0f4ff7146a5b · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.706495Z
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 f3f29927-4404-48f9-906e-8cdd6b2048dc · outbound
This paper cites On algebraic properties of power monoids of numerical monoids.
On finitary power monoids of linearly orderable monoids On algebraic properties of power monoids of numerical monoids
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:05:57.421181Z
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 fe943da8-a9d7-4fec-96f3-217f3e17da2a · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.690435Z
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 8dcef123-d165-4625-9a44-8fadc80c45f3 · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.674759Z
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 a5a095ba-bf64-41a3-a5da-45322080caab · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.658861Z
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 baa18041-9366-42bd-9609-9723a8b45192 · outbound
This paper cites Fan and S.
On finitary power monoids of linearly orderable monoids Fan and S
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.643508Z
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 6ecc2bdf-3a87-44ce-a038-5ee955a634de · outbound
This paper cites Fuchs, Infinite Abelian Groups I , Academic Press, 1970.
On finitary power monoids of linearly orderable monoids Fuchs, Infinite Abelian Groups I , Academic Press, 1970
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:05:57.206132Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7fef162-42c5-459b-8a3a-766904aadbb0 · outbound
This paper cites Geroldinger and F.
On finitary power monoids of linearly orderable monoids Geroldinger and F
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.618288Z
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 f96c6875-2a90-4f9a-a6a3-8aee96b8ad82 · outbound
This paper cites Gilmer, Commutative Semigroup Rings , The University of Chicago Press, Chicago, 1984.
On finitary power monoids of linearly orderable monoids Gilmer, Commutative Semigroup Rings , The University of Chicago Press, Chicago, 1984
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.602324Z
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 65af2c9c-084b-4a1b-9373-46ca5c0892f2 · outbound
This paper cites On the atomicity of power monoids of Puiseux monoids.
On finitary power monoids of linearly orderable monoids On the atomicity of power monoids of Puiseux monoids
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:05:57.397796Z
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 83c9a520-644e-4f9a-b758-e96f870067dd · outbound
This paper cites Gotti, On semigroup algebras with rational exponents , Comm.
On finitary power monoids of linearly orderable monoids Gotti, On semigroup algebras with rational exponents , Comm
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.586610Z
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 5fad257f-a280-4833-a513-15a2d8c50d82 · outbound
This paper cites Divisibility and a weak ascending chain condition on principal ideals.
On finitary power monoids of linearly orderable monoids Divisibility and a weak ascending chain condition on principal ideals
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:05:57.230902Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5b6edd4-d26e-4b0b-8d34-60243dac4453 · outbound
This paper cites Gotti and M.
On finitary power monoids of linearly orderable monoids Gotti and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.570787Z
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 8adea594-f474-48fd-8c3c-2c38ad5ade75 · outbound
This paper cites Grams, Atomic rings and the ascending chain condition for principa l ideals , Math.
On finitary power monoids of linearly orderable monoids Grams, Atomic rings and the ascending chain condition for principa l ideals , Math
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:05:57.240967Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a29eecc-4dae-4c2c-aa47-9fe5b4985f6d · outbound
This paper cites Grams and H.
On finitary power monoids of linearly orderable monoids Grams and H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.545453Z
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 bf406547-2a89-4aff-888a-bc422deece55 · outbound
This paper cites Halter-Koch, Finiteness theorems for factorizations , Semigroup Forum 44 (1992) 112–117.
On finitary power monoids of linearly orderable monoids Halter-Koch, Finiteness theorems for factorizations , Semigroup Forum 44 (1992) 112–117
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.528932Z
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 082b647e-9fa2-4aa8-aed3-0f4bf534879e · outbound
This paper cites Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm.
On finitary power monoids of linearly orderable monoids Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:05:57.255577Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f15e93f7-0aac-4816-90e2-d9a3d19d3c2e · outbound
This paper cites an unresolved cited work.
On finitary power monoids of linearly orderable monoids Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:05:57.502416Z
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 e04ae722-ba70-40fc-85ef-436d58fdbb30 · outbound
This paper cites The Furstenberg property in Puiseux monoids.
On finitary power monoids of linearly orderable monoids The Furstenberg property in Puiseux monoids
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:05:57.358646Z
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 4a0a10d8-2ac6-4693-a42a-6de03b926033 · outbound
This paper cites Algebraic Theory of Semigroups and Its Applications.
On finitary power monoids of linearly orderable monoids Algebraic Theory of Semigroups and Its Applications
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.485690Z
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 f7a12eca-6917-411e-98e1-d3547da7d449 · outbound
This paper cites Roitman, Polynomial extensions of atomic domains , J.
On finitary power monoids of linearly orderable monoids Roitman, Polynomial extensions of atomic domains , J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.469736Z
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 a21f43b0-2d1b-4815-ae5c-7a8c61515f7d · outbound
This paper cites Tamura, Isomorphism problem of power semigroups of completely 0-si mple semigroups , J.
On finitary power monoids of linearly orderable monoids Tamura, Isomorphism problem of power semigroups of completely 0-si mple semigroups , J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:05:57.453537Z
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 00f66abf-ef13-4b5f-9b23-99bbadd3682d · outbound
This paper cites On the isomorphism problem for power semigroups.
On finitary power monoids of linearly orderable monoids On the isomorphism problem for power semigroups
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:05:57.335145Z
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 111260f1-e868-4b6c-93f3-17fdd04b173d · outbound
This paper cites Tringali and W.
On finitary power monoids of linearly orderable monoids Tringali and W
Reference 27
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-10T22:05:57.437649Z
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
Observation 64a4f752-6a55-4ca9-a37c-032136157947 · inbound
On automorphism groups of power semigroups over numerical semigroups or over numerical monoids cites this paper.
On automorphism groups of power semigroups over numerical semigroups or over numerical monoids On finitary power monoids of linearly orderable monoids
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T22:48:38.089611Z
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 774e7013-b2a8-43be-888b-660c6f3a53d4 · inbound
Power monoids and their arithmetic: a survey cites this paper.
Power monoids and their arithmetic: a survey On finitary power monoids of linearly orderable monoids
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T12:24:10.801587Z
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 9f36f04f-5160-4744-9b04-722bc16cd119 · inbound
On the automorphisms of the power semigroups of a numerical semigroup cites this paper.
On the automorphisms of the power semigroups of a numerical semigroup On finitary power monoids of linearly orderable monoids
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T09:36:26.023083Z
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.