Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
A formal proof of the Kepler conjecture
As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1501.02155.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:02:52.850148Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T15:17:04.198822Z
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 fa6c3549-cead-4dd8-b01f-a306f6ef86a6 · inbound
Variations on five-dimensional sphere packings cites this paper.
Variations on five-dimensional sphere packings A formal proof of the Kepler conjecture
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:02:52.850148Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 557f3e4c-e0bd-463b-be0d-536b2bb85b1b · inbound
HybridProver: Augmenting Theorem Proving with LLM-Driven Proof Synthesis and Refinement cites this paper.
HybridProver: Augmenting Theorem Proving with LLM-Driven Proof Synthesis and Refinement A formal proof of the Kepler conjecture
Reference 2015
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T15:17:04.264399Z
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 98fb268e-5c82-4e0c-b9bc-459455313ca1 · inbound
Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases cites this paper.
Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases A formal proof of the Kepler conjecture
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T05:39:59.135135Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.