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Paper Citation Record · LEDGER

On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.11494.

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

pith.paper-citation-record.v1
2404.11494 v1

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 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:34:00.672952Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T15:07:34.170070Z

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 1339afbb-9ea8-459c-9f23-67e53cf25eab · inbound

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

On the ascent of almost and quasi-atomicity to monoid semidomains On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T21:34:00.672952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:34:00.672952Z digest=sha256:49441f6750f21ecd945795b552ecc021a26a255828aea5b14a0dbb9daceb3217

Observation 14dc6e1e-5288-4e53-9bf4-3ab1d19a67de · inbound

The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties cites this paper.

The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-08T15:07:34.177315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T15:07:34.091643Z digest=sha256:ba34aa6d095b9d34baddd7b4178a7275af25cf5cace0a43ea197fc68f90cd601