Pith Number

pith:QHWLNHKI

pith:2025:QHWLNHKIDGNPQ4JWJWFP2ITYUI

not attested not anchored not stored refs pending

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

Michael Hofstetter, Ofer Zeitouni

arxiv:2508.15689 v1 · 2025-08-21 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHWLNHKIDGNPQ4JWJWFP2ITYUI}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Extrema of cooling branching Brownian motion and related Gaussian fields

Receipt and verification

First computed	2026-07-05T11:57:17.109616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ecb69d48199af871364d8afd2278a2338ba43b77b609e730fd23f8ad215262

Aliases

arxiv: 2508.15689 · arxiv_version: 2508.15689v1 · doi: 10.48550/arxiv.2508.15689 · pith_short_12: QHWLNHKIDGNP · pith_short_16: QHWLNHKIDGNPQ4JW · pith_short_8: QHWLNHKI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QHWLNHKIDGNPQ4JWJWFP2ITYUI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 81ecb69d48199af871364d8afd2278a2338ba43b77b609e730fd23f8ad215262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30637b3a3d0d201ff3a5675426f508ff0851d430f88b5e13461ef938acf0050",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-21T16:13:08Z",
    "title_canon_sha256": "544366dadbae47dd7ff921aa1950b5d3fc72b14bfe1876c5e101f7785cca2b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15689",
    "kind": "arxiv",
    "version": 1
  }
}