Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1712.07902.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:40:55.339143Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T10:40:55.554145Z
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 db015755-e54f-4ca9-b197-b84ea862717c · inbound
A Liouville principle for the random conductance model under degenerate conditions cites this paper.
A Liouville principle for the random conductance model under degenerate conditions A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.558560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4dcdc277-9ebf-42fd-8f7d-e40eac2b67a1 · inbound
On Support Cardinality for the Discrete Schr\"odinger Equation cites this paper.
On Support Cardinality for the Discrete Schr\"odinger Equation A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T17:25:43.075009Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.