Paper Citation Record · LEDGER

Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:cond-mat/0503172.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T09:46:25.505032Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T01:06:24.691278Z

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 bebaec0b-1a20-4d64-bdc6-c9d82fa7f248 · inbound

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T09:46:25.505032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fe343f1-988d-4872-bb72-32083f2c6cdc · inbound

Reference 106

Resolution: verified exact; local_arxiv, observed 2026-07-02T01:06:24.693805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.