Pith Number

pith:5OKUAUAC

pith:2012:5OKUAUACWF6ON2KC4XBEOEFCQS

not attested not anchored not stored refs pending

On exact scaling log-Infinitely divisible cascades

Julien Barral, Xiong Jin

arxiv:1208.2221 v1 · 2012-08-10 · 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{5OKUAUACWF6ON2KC4XBEOEFCQS}

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	2026-05-18T03:48:59.836757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb95405002b17ce6e942e5c24710a28497a2c6a1c6b51d1e4bc945b615b6d3aa

Aliases

arxiv: 1208.2221 · arxiv_version: 1208.2221v1 · doi: 10.48550/arxiv.1208.2221 · pith_short_12: 5OKUAUACWF6O · pith_short_16: 5OKUAUACWF6ON2KC · pith_short_8: 5OKUAUAC

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/5OKUAUACWF6ON2KC4XBEOEFCQS \
  | 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: eb95405002b17ce6e942e5c24710a28497a2c6a1c6b51d1e4bc945b615b6d3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f932ecc91853bffe434871863366569942b9332b5308cb950cd99d782bf4f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-10T17:14:21Z",
    "title_canon_sha256": "eb1709a5a55bb2989bc2567e3f7f5f8997a13b1a6be5c462eb28bf500251dac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2221",
    "kind": "arxiv",
    "version": 1
  }
}