Pith Number

pith:BPTZB4QE

pith:2012:BPTZB4QE5KPIB2O3T2O6YF7C6J

not attested not anchored not stored refs pending

Scaling limit results for the sum of many inverse L\'evy subordinators

Anders Martin-L\"of, Ingemar Kaj

arxiv:1203.6831 v1 · 2012-03-30 · 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{BPTZB4QE5KPIB2O3T2O6YF7C6J}

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	2026-05-18T03:58:52.144597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be790f204ea9e80e9db9e9dec17e2f274e6966e38a167190c28cd5b2c9a1286

Aliases

arxiv: 1203.6831 · arxiv_version: 1203.6831v1 · doi: 10.48550/arxiv.1203.6831 · pith_short_12: BPTZB4QE5KPI · pith_short_16: BPTZB4QE5KPIB2O3 · pith_short_8: BPTZB4QE

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/BPTZB4QE5KPIB2O3T2O6YF7C6J \
  | 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: 0be790f204ea9e80e9db9e9dec17e2f274e6966e38a167190c28cd5b2c9a1286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847405e75ced05115e626431fed689971ffc547aea853dbb8c88abc9843f4511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-30T14:40:40Z",
    "title_canon_sha256": "14c995fb3a1391271c6adbd4f500a0a7d08d1151be1cc7b5a12d65df0cd9348f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6831",
    "kind": "arxiv",
    "version": 1
  }
}