Paper Citation Record · LEDGER

Definable groups for dependent and 2-dependent theories

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:math/0703045.

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

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 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:18:43.509828Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T00:09:14.246212Z

0 of 0 outbound references displayed

External citation measurements

No source-named external measurement is stored.

No outbound reference observations are available for this paper version.

Observation bb083f5d-ff56-401d-a9f7-1d2df47f4263 · inbound

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-03T14:18:43.509828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bc36289-b52e-46c7-bae0-1e77788b8aeb · inbound

Reference 31

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.