Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1512.03401.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T20:56:10.668008Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T18:28:18.855933Z
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 598d6d99-bf65-4130-bd90-b06eede7f780 · inbound
Semidefinite optimization of the quantum relative entropy of channels cites this paper.
Semidefinite optimization of the quantum relative entropy of channels Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T18:28:18.861257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 81ad6260-3664-4263-b636-c6d3ee1a232d · inbound
Accelerated optimization of measured relative entropies cites this paper.
Accelerated optimization of measured relative entropies Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T20:56:10.668008Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.