Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1810.03580.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T14:32:08.957987Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T14:00:28.837508Z
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 643bdba4-e996-46da-8b01-9c6d03c2793f · inbound
Geometry of geodesics through Busemann measures in directed last-passage percolation cites this paper.
Geometry of geodesics through Busemann measures in directed last-passage percolation Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:29:36.096578Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00cc6b8d-f7da-42da-b6f5-187191ec7be5 · inbound
Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape cites this paper.
Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:00:28.840193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a30ec669-57b9-4ddd-a1e4-eb3649b36df6 · inbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers cites this paper.
Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T14:32:08.957987Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.