Paper Citation Record · LEDGER

The finite basis problem for additively idempotent semirings of order four, II

As of 11 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2501.03263.

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

pith.paper-citation-record.v1
2501.03263 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:20:14.390971Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:48:49.884574Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T21:48:50.117948Z

Reference resolution

8 of 8 outbound references displayed

verified exact0
verified fuzzy6
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80be3022-5093-4429-9b39-77a0162da28b · outbound

This paper cites Ghosh, F.

The finite basis problem for additively idempotent semirings of order four, II Ghosh, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.534866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 05bedd83-0cb7-4101-9515-bc6c01164294 · outbound

This paper cites Jackson, M.M.

The finite basis problem for additively idempotent semirings of order four, II Jackson, M.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.519552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3f241928-8111-42b5-b555-7dc67bff64b2 · outbound

This paper cites Pastijn, Varieties generated by ordered bands II, Order 22 (2005), no.

The finite basis problem for additively idempotent semirings of order four, II Pastijn, Varieties generated by ordered bands II, Order 22 (2005), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T22:20:14.366761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fd1f8e9-2422-4e72-9fb5-5e570c86f071 · outbound

This paper cites The finite basis problem for additively idempotent semirings of order four, I.

The finite basis problem for additively idempotent semirings of order four, II The finite basis problem for additively idempotent semirings of order four, I

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T22:20:14.371443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f798192-6dc7-463a-b901-66c814a5f7a2 · outbound

This paper cites Ren, X.Z.

The finite basis problem for additively idempotent semirings of order four, II Ren, X.Z

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.494049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0183673b-6298-4139-8248-10ab2902e87d · outbound

This paper cites Shao, M.M.

The finite basis problem for additively idempotent semirings of order four, II Shao, M.M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.471117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a9c23050-5399-45e1-ac05-d27ac5bb6e30 · outbound

This paper cites W u, M.M.

The finite basis problem for additively idempotent semirings of order four, II W u, M.M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.456701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7624d8b8-b1e2-4ff9-a243-bd1ac11b527a · outbound

This paper cites Zhao, M.M.

The finite basis problem for additively idempotent semirings of order four, II Zhao, M.M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:20:14.442616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 2a65d171-6d3e-459f-a060-9212a552df15 · inbound

The finite basis problem for additively idempotent semirings that relate to S_7 cites this paper.

The finite basis problem for additively idempotent semirings that relate to S_7 The finite basis problem for additively idempotent semirings of order four, II

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-09T21:48:50.123384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.