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Paper Citation Record · LEDGER

Counting Paths in Graphs

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:math/0012161.

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

pith.paper-citation-record.v1
math/0012161 v2

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 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T22:54:55.370981Z

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 340ff0da-eddd-4021-9c65-2bc98c1f96ba · inbound

Generalized Kazakov-Migdal Models on Graphs via Artin-Ihara $L$-function and Random Partitions cites this paper.

Generalized Kazakov-Migdal Models on Graphs via Artin-Ihara $L$-function and Random Partitions Counting Paths in Graphs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-31T22:54:55.370981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:54:55.370981Z digest=sha256:fd84c8cb1563d60caef8ba27e4f3766e51cbf960e3970bad55bf7cd6e0b0936a