Pith Number

pith:PVEZPPJW

pith:2016:PVEZPPJW7YNEE2XT3VYT3JRP7M

not attested not anchored not stored refs pending

Galton-Watson processes in varying environment and accessibility percolation

Daniela Bertacchi, Fabio Zucca, Pablo M. Rodriguez

arxiv:1611.03286 v5 · 2016-11-10 · 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{PVEZPPJW7YNEE2XT3VYT3JRP7M}

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	2026-05-18T00:34:10.232652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4997bd36fe1a426af3dd713da62ffb05bd4021bd9e806178e468e1706b0a72

Aliases

arxiv: 1611.03286 · arxiv_version: 1611.03286v5 · doi: 10.48550/arxiv.1611.03286 · pith_short_12: PVEZPPJW7YNE · pith_short_16: PVEZPPJW7YNEE2XT · pith_short_8: PVEZPPJW

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/PVEZPPJW7YNEE2XT3VYT3JRP7M \
  | 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: 7d4997bd36fe1a426af3dd713da62ffb05bd4021bd9e806178e468e1706b0a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701a4f8bf0bbb6bd299b52a27e3ba31a6577521aea18aa5f24911794342f0cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-10T12:46:56Z",
    "title_canon_sha256": "3bf1bf99a9b37d236a0eb8976d16de84dea09208c87c91a3795c63c85033c07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03286",
    "kind": "arxiv",
    "version": 5
  }
}