Pith Number

pith:4ASM66XA

pith:2015:4ASM66XAGTDBSRVSZ7WGBUOGOK

not attested not anchored not stored refs pending

A generating function approach to branching random walks

Daniela Bertacchi, Fabio Zucca

arxiv:1511.07734 v3 · 2015-11-24 · 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{4ASM66XAGTDBSRVSZ7WGBUOGOK}

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	2026-05-18T00:56:46.602643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e024cf7ae034c61946b2cfec60d1c672b0db5edfee4b884847345232f1424c9e

Aliases

arxiv: 1511.07734 · arxiv_version: 1511.07734v3 · doi: 10.48550/arxiv.1511.07734 · pith_short_12: 4ASM66XAGTDB · pith_short_16: 4ASM66XAGTDBSRVS · pith_short_8: 4ASM66XA

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/4ASM66XAGTDBSRVSZ7WGBUOGOK \
  | 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: e024cf7ae034c61946b2cfec60d1c672b0db5edfee4b884847345232f1424c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74eae5ca196967fe37b1442d315f5050bdebfa4b1e8608302157973263931b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-24T14:43:39Z",
    "title_canon_sha256": "cfcb93de4ff4c6cc8ce6ebcba913a54108adfd4e2a084950da391b945f3d63c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07734",
    "kind": "arxiv",
    "version": 3
  }
}