Paper Citation Record · LEDGER

On some open problems in commutative algebra resolved by Rethlas

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 3 inbound Pith citation observations for arXiv:2605.25259.

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

pith.paper-citation-record.v1
2605.25259 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T22:24:59.788013Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T12:18:10.165894Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-11T00:27:49.961591Z

Reference resolution

16 of 16 outbound references displayed

verified exact3
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ba95a16-ff14-42c7-a059-ef0f9ceb421c · outbound

This paper cites an unresolved cited work.

On some open problems in commutative algebra resolved by Rethlas Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e53fb4f-f07b-4ec7-9621-7c68e0547ba0 · outbound

This paper cites Boij and J.

On some open problems in commutative algebra resolved by Rethlas Boij and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a0768a9-8aae-41e1-af27-95e9418b6238 · outbound

This paper cites Cahen and J.-L.

On some open problems in commutative algebra resolved by Rethlas Cahen and J.-L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2263753b-dd78-47e8-a71e-458c1a406aa8 · outbound

This paper cites Cahen, M.

On some open problems in commutative algebra resolved by Rethlas Cahen, M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b42dec6-078f-4d1e-909f-9b6e04d15a4a · outbound

This paper cites David,A characteristic zero non-Noetherian factorial ring of dimension three, Trans.

On some open problems in commutative algebra resolved by Rethlas David,A characteristic zero non-Noetherian factorial ring of dimension three, Trans

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e9e985b-bcc4-4e9e-ab65-71c33f93c76d · outbound

This paper cites an unresolved cited work.

On some open problems in commutative algebra resolved by Rethlas Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3fd1995-aa02-4245-85ee-110fa1ac16db · outbound

This paper cites Eisenbud and F.-O.

On some open problems in commutative algebra resolved by Rethlas Eisenbud and F.-O

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a32bbb9c-0012-4957-8698-aa015843b9c7 · outbound

This paper cites Elliott,Birings and plethories of integer-valued polynomials, Actes des Rencontres du CIRM 2(2) (2010), 53–58.

On some open problems in commutative algebra resolved by Rethlas Elliott,Birings and plethories of integer-valued polynomials, Actes des Rencontres du CIRM 2(2) (2010), 53–58

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a65d2760-ef8b-4626-b235-2472cfd421c1 · outbound

This paper cites Questions about Boij-S\"oderberg theory.

On some open problems in commutative algebra resolved by Rethlas Questions about Boij-S\"oderberg theory

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-29T22:34:02.226808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b477e3b4-7568-498a-9eb5-81bb567a6241 · outbound

This paper cites Open Prob- lems in Commutative Ring Theory.

On some open problems in commutative algebra resolved by Rethlas Open Prob- lems in Commutative Ring Theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7af0705b-3901-4f3b-8492-bb1a0f2a180a · outbound

This paper cites Glaz,Finite conductor rings with zero divisors, in:Non-Noetherian Commutative Ring Theory, MAIA 520, Kluwer Acad.

On some open problems in commutative algebra resolved by Rethlas Glaz,Finite conductor rings with zero divisors, in:Non-Noetherian Commutative Ring Theory, MAIA 520, Kluwer Acad

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d810749d-5c24-4ae8-81db-46f45edbb0ff · outbound

This paper cites Glaz,Finite conductor rings, Proc.

On some open problems in commutative algebra resolved by Rethlas Glaz,Finite conductor rings, Proc

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edadfb33-9385-429b-a5ad-49f80399f8bf · outbound

This paper cites Jensen,Completions of UFDs with semi-local formal fibers, Comm.

On some open problems in commutative algebra resolved by Rethlas Jensen,Completions of UFDs with semi-local formal fibers, Comm

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51bd7e43-5937-4ce5-9026-28250a055c95 · outbound

This paper cites Automated Conjecture Resolution with Formal Verification.

On some open problems in commutative algebra resolved by Rethlas Automated Conjecture Resolution with Formal Verification

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-06-29T22:34:02.220300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c12a7048-e6eb-428f-847d-8a296e519059 · outbound

This paper cites Domains whose ideals meet a universal restriction.

On some open problems in commutative algebra resolved by Rethlas Domains whose ideals meet a universal restriction

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-06-29T22:34:02.214575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7f03dea8-c2f0-44c1-bcf7-37775d524202 · outbound

This paper cites Zafrullah,t-invertibility and Bazzoni-like statements, J.

On some open problems in commutative algebra resolved by Rethlas Zafrullah,t-invertibility and Bazzoni-like statements, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T22:24:59.788013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4960c457-24b8-4613-94df-e94b9a48fbc3 · inbound

Automated Conjecture Resolution with Formal Verification cites this paper.

Automated Conjecture Resolution with Formal Verification On some open problems in commutative algebra resolved by Rethlas

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-13T12:18:10.165894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dab359c-d56f-4995-bfba-b0ab6422991e · inbound

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory cites this paper.

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory On some open problems in commutative algebra resolved by Rethlas

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-08T05:44:35.882749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f3e45d27-974b-4599-9970-f8a1078b3dfc · inbound

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory cites this paper.

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory On some open problems in commutative algebra resolved by Rethlas

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-11T00:27:49.985194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.