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Paper Citation Record · LEDGER

A note on derivatives, expansions and $\Pi^1_1$-ranks

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2107.09866.

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

pith.paper-citation-record.v1
2107.09866 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:45:40.963971Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T16:45:41.103543Z

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 19109e1a-34c5-4bb3-b7b3-c8b2f131d09a · inbound

Dynamical pair assignments cites this paper.

Dynamical pair assignments A note on derivatives, expansions and $\Pi^1_1$-ranks

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:45:41.108912Z

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=2026-08-10T16:45:40.963971Z digest=sha256:8e26163512620efc7e60ba95bf1f78eb1fefcc0d0a160997d45e7a2b85654bb6