Pith Number

pith:4UWLO74O

pith:2010:4UWLO74OMSBAGYPKSPYXOAOQZX

not attested not anchored not stored refs pending

Quenched Lyapunov exponent for the parabolic Anderson model in a dynamic random environment

Frank den Hollander, Gr\'egory Maillard, J\"urgen G\"artner

arxiv:1011.0541 v2 · 2010-11-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UWLO74OMSBAGYPKSPYXOAOQZX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T04:18:22.323064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52cb77f8e64820361ea93f17701d0cddb777138e1e7c493fa2b4a2ffd5e782c

Aliases

arxiv: 1011.0541 · arxiv_version: 1011.0541v2 · doi: 10.48550/arxiv.1011.0541 · pith_short_12: 4UWLO74OMSBA · pith_short_16: 4UWLO74OMSBAGYPK · pith_short_8: 4UWLO74O

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/4UWLO74OMSBAGYPKSPYXOAOQZX \
  | 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: e52cb77f8e64820361ea93f17701d0cddb777138e1e7c493fa2b4a2ffd5e782c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6451779ae79233a323c8be458eb3a3f558ce3b30cfb8f382f798af6b934b8a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-02T08:44:44Z",
    "title_canon_sha256": "691797a449952280cae52b9ab162ed9a568cecce679ac835fd8d9cbb6459f7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0541",
    "kind": "arxiv",
    "version": 2
  }
}