Paper Citation Record · LEDGER

Genus zero Gopakumar-Vafa invariants of contractible curves

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:math/0601193.

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 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:58:50.355093Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T18:35:00.089502Z

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 1c80d61a-619b-4d0c-9b80-6062ad6a02a1 · inbound

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-04T07:58:50.355093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dac6fd97-2393-4ec0-9a71-4ce640411add · inbound

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-05-20T04:43:03.296191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0917600d-a301-4177-9232-85e6b8d633c4 · inbound

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-06-30T18:35:00.090649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.