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Paper Citation Record · LEDGER

The Liouville model in the $L^1$ phase: coupling and extreme values

As of 10 August 2026, this Paper Citation Record lists 1 of 1 outbound references and 2 inbound Pith citation observations for arXiv:2508.15689.

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

pith.paper-citation-record.v1
2508.15689 v1

Coverage vector

measured 1 of 1 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:47:15.543531Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:06:54.909730Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:19:23.013858Z

Reference resolution

1 of 1 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a3be67b6-6dcd-4c6d-a95d-4b45d9355c5e · outbound

This paper cites An Efficient Open World Environment for Multi-Agent Social Learning.

The Liouville model in the $L^1$ phase: coupling and extreme values An Efficient Open World Environment for Multi-Agent Social Learning

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:15.543531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:47:15.543531Z digest=sha256:49a4fc3833d6260fcbe960133da4808fb57953ac23a74c3958627fa71029f834

Pith citing papers

Observation 3c4e6133-ff77-4d9c-a271-f7bbf1cc8da9 · inbound

Extrema of cooling branching Brownian motion and related Gaussian fields cites this paper.

Extrema of cooling branching Brownian motion and related Gaussian fields The Liouville model in the $L^1$ phase: coupling and extreme values

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:19:23.015496Z

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.

source=arxiv_source observed=2026-06-26T19:51:17.030282Z digest=sha256:3fe30969850578630c6710a2d9bc6a85ca22e529a01332bdc27280d40a3bc33a

Observation 69ee0b3e-b42c-4497-85c9-78b6657f172b · inbound

Extrema of cooling branching Brownian motion and related Gaussian fields cites this paper.

Extrema of cooling branching Brownian motion and related Gaussian fields The Liouville model in the $L^1$ phase: coupling and extreme values

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-02T11:06:54.909730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:06:54.909730Z digest=sha256:626d41110ca3a92cd1584050626d0ba17ad7127db71516261f41073d99a6f4b5