Pith Number

pith:NLWB5CTF

pith:2010:NLWB5CTFNFUI7PLGKHASFN6XKM

not attested not anchored not stored refs pending

Spreading speeds in reducible multitype branching random walk

J. D. Biggins

arxiv:1003.4716 v3 · 2010-03-24 · 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{NLWB5CTFNFUI7PLGKHASFN6XKM}

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	2026-05-18T03:43:07.842087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aec1e8a6569688fbd6651c122b7d75316730ac91c19c014502b89c49c3163cd

Aliases

arxiv: 1003.4716 · arxiv_version: 1003.4716v3 · doi: 10.48550/arxiv.1003.4716 · pith_short_12: NLWB5CTFNFUI · pith_short_16: NLWB5CTFNFUI7PLG · pith_short_8: NLWB5CTF

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/NLWB5CTFNFUI7PLGKHASFN6XKM \
  | 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: 6aec1e8a6569688fbd6651c122b7d75316730ac91c19c014502b89c49c3163cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336f0e72fb35db01b8e3c550c412546d305f64e9cb4c0d67ec16cd70e4417246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-24T19:14:41Z",
    "title_canon_sha256": "bbbe98bceeb0480454d66ce841c07454a4dd9f0f71096f6d372380db6a069e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4716",
    "kind": "arxiv",
    "version": 3
  }
}