Pith Number

pith:2SGZ6I5X

pith:2010:2SGZ6I5XOVJSLOR4IICKC5ILVT

not attested not anchored not stored refs pending

Parabolic Anderson model with voter catalysts: dichotomy in the behavior of Lyapunov exponents

Gr\'egory Maillard, Samuel Sch\"opfer, Thomas Mountford

arxiv:1010.4869 v2 · 2010-10-23 · 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{2SGZ6I5XOVJSLOR4IICKC5ILVT}

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	2026-05-18T04:26:02.338009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48d9f23b7755325ba3c4204a1750bacee4329e4c3588bd5ccc232b8b6033bad

Aliases

arxiv: 1010.4869 · arxiv_version: 1010.4869v2 · doi: 10.48550/arxiv.1010.4869 · pith_short_12: 2SGZ6I5XOVJS · pith_short_16: 2SGZ6I5XOVJSLOR4 · pith_short_8: 2SGZ6I5X

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/2SGZ6I5XOVJSLOR4IICKC5ILVT \
  | 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: d48d9f23b7755325ba3c4204a1750bacee4329e4c3588bd5ccc232b8b6033bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2289e8893850f404513d72b8fd18b57a50953e14a94af10bd2020e004edf034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-23T10:28:30Z",
    "title_canon_sha256": "cc806e382ba500465ec5de9eef0b8667ccc3a3dbd30a349e9cc44cf661f7b381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4869",
    "kind": "arxiv",
    "version": 2
  }
}