Pith Number

pith:O2QVN747

pith:2009:O2QVN747AW3WNNN4AQXR2FNMHP

not attested not anchored not stored refs pending

Rate of escape and central limit theorem for the supercritical Lamperti problem

Andrew R. Wade, Mikhail V. Menshikov

arxiv:0911.2599 v2 · 2009-11-13 · 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{O2QVN747AW3WNNN4AQXR2FNMHP}

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	2026-05-18T04:42:23.928017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a156ff9f05b766b5bc042f1d15ac3bd731a62352293316001a7fe3a2b2288e

Aliases

arxiv: 0911.2599 · arxiv_version: 0911.2599v2 · doi: 10.48550/arxiv.0911.2599 · pith_short_12: O2QVN747AW3W · pith_short_16: O2QVN747AW3WNNN4 · pith_short_8: O2QVN747

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/O2QVN747AW3WNNN4AQXR2FNMHP \
  | 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: 76a156ff9f05b766b5bc042f1d15ac3bd731a62352293316001a7fe3a2b2288e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07f7d1e3f131e8df8d1019ad06beba1dcdacea8e4e6e2e0a8753ab8c92b892e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-13T12:26:15Z",
    "title_canon_sha256": "3615dc65685bf2e2864e39fbf280e77c86fb8327c8ff209e730718eb0e211742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2599",
    "kind": "arxiv",
    "version": 2
  }
}