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Paper Citation Record · LEDGER

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

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2407.15342.

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

pith.paper-citation-record.v1
2407.15342 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:20:14.371443Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T21:48:50.137149Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

The finite basis problem for additively idempotent semirings of order four, II cites this paper.

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.

source=pdf_text observed=2026-08-10T22:20:14.371443Z digest=sha256:c7be7a76e7a5afdb3dab1e8617d68a6513d1a522f0dffe54b858904ec0bfcd31

Observation 2940bc92-d1cf-4f7e-93bf-1edf75df100b · 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, I

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-09T21:48:50.142809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-09T21:48:49.858166Z digest=sha256:ccde38cd9a8dae3370f7d788c1b112e4868305cab6ef4a79149d4d302e768e77