Pith Number

pith:VENZWGRK

pith:2024:VENZWGRKRLYMXUGBWVSJX3YCWS

not attested not anchored not stored refs pending

Fractal random sets associated with multitype Galton-Watson trees

Modal'x), Pierre Calka (LMRS, UNIROUEN), Yann Demichel (UPN SEGMI

arxiv:2410.21847 v1 · 2024-10-29 · 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{VENZWGRKRLYMXUGBWVSJX3YCWS}

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	2026-07-05T09:27:34.198010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91b9b1a2a8af0cbd0c1b5649bef02b485e7b7ce57cda98a85713495121b7010

Aliases

arxiv: 2410.21847 · arxiv_version: 2410.21847v1 · doi: 10.48550/arxiv.2410.21847 · pith_short_12: VENZWGRKRLYM · pith_short_16: VENZWGRKRLYMXUGB · pith_short_8: VENZWGRK

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/VENZWGRKRLYMXUGBWVSJX3YCWS \
  | 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: a91b9b1a2a8af0cbd0c1b5649bef02b485e7b7ce57cda98a85713495121b7010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e257cc984d1b0d81e66818b83d8926f966ad98b26d5ba78f9cd0d968e502843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-29T08:14:26Z",
    "title_canon_sha256": "8c7480186d78722d6b79be9983d153cf5d7fe673620587f874c515d2b782a340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21847",
    "kind": "arxiv",
    "version": 1
  }
}