Pith Number

pith:BPXXTO7E

pith:2010:BPXXTO7EORPQY57ADCRPQYH3DH

not attested not anchored not stored refs pending

The discrete-time parabolic Anderson model with heavy-tailed potential

Francesco Caravenna, Nicolas P\'etr\'elis, Philippe Carmona

arxiv:1012.4653 v1 · 2010-12-21 · 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{BPXXTO7EORPQY57ADCRPQYH3DH}

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	2026-05-18T04:32:53.958886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bef79bbe4745f0c77e018a2f860fb19f7ef6dca6e910c7bd446f10d29f0e5bc

Aliases

arxiv: 1012.4653 · arxiv_version: 1012.4653v1 · doi: 10.48550/arxiv.1012.4653 · pith_short_12: BPXXTO7EORPQ · pith_short_16: BPXXTO7EORPQY57A · pith_short_8: BPXXTO7E

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/BPXXTO7EORPQY57ADCRPQYH3DH \
  | 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: 0bef79bbe4745f0c77e018a2f860fb19f7ef6dca6e910c7bd446f10d29f0e5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553c5de3fdd40afaf56b0f75e3b04d5aef7e60f20db4bbf1d91f19b13f48459c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-21T13:48:47Z",
    "title_canon_sha256": "1d450b8c80e64285c25d82f89a3c86c5eb6656b8cc8489d7a45cde9cd27aa33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4653",
    "kind": "arxiv",
    "version": 1
  }
}