Paper Citation Record · LEDGER

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

As of 9 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2507.22011.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.22011 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:11:52.269319Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact6
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1bff7e84-2f81-45d9-a0e8-48619246965e · outbound

This paper cites Universality for Lozenge Tiling Local Statistics.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Universality for Lozenge Tiling Local Statistics

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.661622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bc6408e2-dd56-4770-83ac-735e703c4f34 · outbound

This paper cites Plane partitions with 2-periodic weights.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Plane partitions with 2-periodic weights

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.447578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 50f85253-bcdb-4ff5-aa7a-b392b0eea057 · outbound

This paper cites Random Surfaces.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Random Surfaces

Reference 1972

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.369154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0f8ad9f0-11a0-4efc-940f-1e12b4efa61e · outbound

This paper cites Orthogonal polynomial ensembles in probability theory.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Orthogonal polynomial ensembles in probability theory

Reference 1996

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T12:11:52.492588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 66803870-69bc-45cf-8585-a88e363b2665 · outbound

This paper cites Non-intersecting paths and Hahn orthogonal polynomial ensemble.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Non-intersecting paths and Hahn orthogonal polynomial ensemble

Reference 2004

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.532290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9e7488fb-77d6-4d6e-9690-d74fcd7f6c83 · outbound

This paper cites Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles

Reference 2007

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.611239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e2bf8758-a493-486f-82c3-c769d15ab0fb · outbound

This paper cites Determinantal point processes.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Determinantal point processes

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-06T12:11:52.203232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 062dd2b4-9644-4c09-b267-275dfac7ba1e · outbound

This paper cites an unresolved cited work.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Unresolved cited work

Reference 2012

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:11:52.698021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8c35e3b3-90f3-4c5a-9178-2a984b8cdee7 · outbound

This paper cites Asymptotics of noncolliding q-exchangeable random walks.

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures Asymptotics of noncolliding q-exchangeable random walks

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:11:52.399389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.