Pith Number

pith:OV47EKKU

pith:2018:OV47EKKUWHWZ2CPRJ3NTXM7IVX

not attested not anchored not stored refs pending

Penalization of Galton-Watson processes

Pierre Debs (IDP), Romain Abraham (IDP)

arxiv:1803.10611 v1 · 2018-03-28 · 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{OV47EKKUWHWZ2CPRJ3NTXM7IVX}

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	2026-05-18T00:19:54.720489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7579f22954b1ed9d09f14edb3bb3e8adff6c09f00af3913022a239c8ea0c6063

Aliases

arxiv: 1803.10611 · arxiv_version: 1803.10611v1 · doi: 10.48550/arxiv.1803.10611 · pith_short_12: OV47EKKUWHWZ · pith_short_16: OV47EKKUWHWZ2CPR · pith_short_8: OV47EKKU

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/OV47EKKUWHWZ2CPRJ3NTXM7IVX \
  | 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: 7579f22954b1ed9d09f14edb3bb3e8adff6c09f00af3913022a239c8ea0c6063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a709ad978cbc4f8012dc86860513a85f48c2585ede27c664638e34b219bb6292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-28T13:54:37Z",
    "title_canon_sha256": "0aa2647c8291788442e26730429a04556d4fe1faccb0f1bce732021908112314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10611",
    "kind": "arxiv",
    "version": 1
  }
}