Pith Number

pith:KL3TJT4J

pith:2013:KL3TJT4JCVKG4HGC7KDQ3XGVDU

not attested not anchored not stored refs pending

Alpha-stable random walk has massive thorns

Alexander Bendikov, Wojciech Cygan

arxiv:1307.4947 v3 · 2013-07-18 · 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{KL3TJT4JCVKG4HGC7KDQ3XGVDU}

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	2026-05-18T01:20:56.280283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f734cf8915546e1cc2fa870ddcd51d3af3f31fdbbcd943f7a2d384f6f2532a

Aliases

arxiv: 1307.4947 · arxiv_version: 1307.4947v3 · doi: 10.48550/arxiv.1307.4947 · pith_short_12: KL3TJT4JCVKG · pith_short_16: KL3TJT4JCVKG4HGC · pith_short_8: KL3TJT4J

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/KL3TJT4JCVKG4HGC7KDQ3XGVDU \
  | 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: 52f734cf8915546e1cc2fa870ddcd51d3af3f31fdbbcd943f7a2d384f6f2532a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2123140c9475b5e7b10fd84eddaf20249f9b6f2e49953166b7cb662c71713fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-18T14:04:26Z",
    "title_canon_sha256": "cbdd063c2d79721d90e37e17f7278e2f2560472509b56b78579665d4b2ed500c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4947",
    "kind": "arxiv",
    "version": 3
  }
}