Pith Number

pith:QIGOY7XU

pith:2026:QIGOY7XUFBEWZQFJA6UTT3O7CV

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Maxima of stationary systems of randomly time-changed L\'evy particles

Ioan Scheffel

Systems of randomly time-changed Lévy particles generate stationary max-infinitely divisible processes whose extremes are attracted to Lévy-Brown-Resnick processes.

arxiv:2604.11434 v2 · 2026-04-13 · math.PR

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\usepackage{pith}
\pithnumber{QIGOY7XUFBEWZQFJA6UTT3O7CV}

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Record completeness

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4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

our work combines potential theory for Markov processes and extreme value theory to yield a large class of new, non-trivial stationary processes in the MDA of a given Lévy-Brown-Resnick process

C2weakest assumption

A suitable reconfiguration of the starting points of the particle system preserves stationarity for the chosen random time changes of the underlying Lévy particles.

C3one line summary

Random time changes on Lévy particle systems yield stationary max-id processes in the MDA of Lévy-Brown-Resnick processes while allowing non-max-stable dependence.

Receipt and verification

First computed	2026-06-09T01:05:17.211487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820cec7ef428496cc0a907a939eddf157dede5f1bcd03ad47a635036fe19261a

Aliases

arxiv: 2604.11434 · arxiv_version: 2604.11434v2 · doi: 10.48550/arxiv.2604.11434 · pith_short_12: QIGOY7XUFBEW · pith_short_16: QIGOY7XUFBEWZQFJ · pith_short_8: QIGOY7XU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QIGOY7XUFBEWZQFJA6UTT3O7CV \
  | 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: 820cec7ef428496cc0a907a939eddf157dede5f1bcd03ad47a635036fe19261a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d542eebb34baba7c39dd9b5575a769db0ab001e83e4d6e0829a5cb40f370028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-04-13T13:19:20Z",
    "title_canon_sha256": "9f845c2602c097dccbd1e36f670613d8228b4d2ab4a4f40e00e3e7668c676706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11434",
    "kind": "arxiv",
    "version": 2
  }
}