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Paper Citation Record · LEDGER

The Witten equation and its virtual fundamental cycle

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:0712.4025.

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

pith.paper-citation-record.v1
0712.4025 v3

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 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:42:27.875840Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 b805c73c-b212-4a4c-a461-990c13822f9c · inbound

Finite Group Reduction of the DR/DZ Hierarchies cites this paper.

Finite Group Reduction of the DR/DZ Hierarchies The Witten equation and its virtual fundamental cycle

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T20:42:27.875840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:42:27.875840Z digest=sha256:a6cb80eab32c00155358ac1bf295fcc3c70635a3fa6aa8d999440e0a4f84547f