Pith Number

pith:4RT2F7MU

pith:2017:4RT2F7MUHQJ6W37G7BMILPFEYY

not attested not anchored not stored refs pending

Global survival of branching random walks and tree-like branching random walks

Cristian F. Coletti, Daniela Bertacchi, Fabio Zucca

arxiv:1703.04499 v2 · 2017-03-13 · 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{4RT2F7MUHQJ6W37G7BMILPFEYY}

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	2026-05-18T00:45:29.974685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e467a2fd943c13eb6fe6f85885bca4c605a08ae8f8ec5ac67696aff067a72a2b

Aliases

arxiv: 1703.04499 · arxiv_version: 1703.04499v2 · doi: 10.48550/arxiv.1703.04499 · pith_short_12: 4RT2F7MUHQJ6 · pith_short_16: 4RT2F7MUHQJ6W37G · pith_short_8: 4RT2F7MU

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/4RT2F7MUHQJ6W37G7BMILPFEYY \
  | 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: e467a2fd943c13eb6fe6f85885bca4c605a08ae8f8ec5ac67696aff067a72a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb598e35d0bc23652265db1b3f01c3db3efe77fc83350922442a9f1db3d7709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-13T17:35:18Z",
    "title_canon_sha256": "fdfb234f926fa1c5ea044b43663f2e30b2f3b433c23a24cc06fe2429bf65612d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04499",
    "kind": "arxiv",
    "version": 2
  }
}