Paper Citation Record · LEDGER

Dual Linear Programming Bounds for Sphere Packing via Discrete Reductions

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2206.09876.

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 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:13:17.844621Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 eb3a0729-a105-4f4a-af39-52df33132e34 · inbound

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T07:13:17.844621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc7ad12b-b594-4e60-863b-1635423f911e · inbound

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T03:06:24.022101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.