Pith Number

pith:OL6RO4UT

pith:2007:OL6RO4UTWTQRADECPBRAZT5I6S

not attested not anchored not stored refs pending

Approximating critical parameters of branching random walks

Daniela Bertacchi, Fabio Zucca

arxiv:0710.3792 v3 · 2007-10-19 · 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{OL6RO4UTWTQRADECPBRAZT5I6S}

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	2026-05-18T04:31:12.433690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fd177293b4e1100c8278620ccfa8f4b26198304bea1929319399b10583b75c

Aliases

arxiv: 0710.3792 · arxiv_version: 0710.3792v3 · doi: 10.48550/arxiv.0710.3792 · pith_short_12: OL6RO4UTWTQR · pith_short_16: OL6RO4UTWTQRADEC · pith_short_8: OL6RO4UT

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/OL6RO4UTWTQRADECPBRAZT5I6S \
  | 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: 72fd177293b4e1100c8278620ccfa8f4b26198304bea1929319399b10583b75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b960ed6eaacc76eb7f365034c5bc3b00d25cb20c20c35e12efea43f49c9df09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-19T21:49:58Z",
    "title_canon_sha256": "4dc7e55aa40406eddb50062c5818f68f87f5b9cf284a23ec7d2b229bb7fb9ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3792",
    "kind": "arxiv",
    "version": 3
  }
}