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Paper Citation Record · LEDGER

Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.01236.

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

pith.paper-citation-record.v1
2404.01236 v2

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 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:10:52.582539Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T00:51:24.249799Z

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 ffdfbc3a-c37e-49c7-9758-13d4cc5b5c90 · inbound

Probing the Universe's Topology through a Quantum System? cites this paper.

Probing the Universe's Topology through a Quantum System? Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-15T22:10:52.582539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:10:52.582539Z digest=sha256:1da797cb3dc25a1ee02b831a9f21335b7a76c580156b75d378c604a033de3fed

Observation 6f041eef-9102-43a1-861d-e0864e6a1d2e · inbound

Bianchi cosmologies in a Thurston-based theory of gravity cites this paper.

Bianchi cosmologies in a Thurston-based theory of gravity Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-05-17T00:51:24.251926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-17T00:49:32.470956Z digest=sha256:84655e6d998c226fe9725a621976657d900f4f74d141b91f579ce2f049e46557