Pith Number

pith:T7UHAC4B

pith:2010:T7UHAC4BOFKYLZUZTB4I6YFZAK

not attested not anchored not stored refs pending

Pruning Galton-Watson Trees and Tree-valued Markov Processes

Hui He (MAPMO), Jean-Francois Delmas (CERMICS), Romain Abraham (MAPMO)

arxiv:1007.0370 v2 · 2010-07-02 · 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{T7UHAC4BOFKYLZUZTB4I6YFZAK}

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	2026-05-18T03:52:28.602877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe8700b81715585e69998788f60b902a24a2b61f8619e86b576ccfd1fc4604b

Aliases

arxiv: 1007.0370 · arxiv_version: 1007.0370v2 · doi: 10.48550/arxiv.1007.0370 · pith_short_12: T7UHAC4BOFKY · pith_short_16: T7UHAC4BOFKYLZUZ · pith_short_8: T7UHAC4B

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/T7UHAC4BOFKYLZUZTB4I6YFZAK \
  | 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: 9fe8700b81715585e69998788f60b902a24a2b61f8619e86b576ccfd1fc4604b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ee908db43e60143ec2a7d005b57c72b3584d898d70cfac1ed9986b324314ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-02T14:17:15Z",
    "title_canon_sha256": "0fcfcf7588f371e8f2e92659e1400f489242f04607ac08019f60e0262bac8cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0370",
    "kind": "arxiv",
    "version": 2
  }
}