Pith Number

pith:K2MWJZUZ

pith:2011:K2MWJZUZMUW5NJD7STHJIC4J6H

not attested not anchored not stored refs pending

On the Height Profile of a Conditioned Galton-Watson Tree

G\"otz Kersting

arxiv:1101.3656 v1 · 2011-01-19 · 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{K2MWJZUZMUW5NJD7STHJIC4J6H}

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	2026-05-18T04:31:21.812822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569964e699652dd6a47f94ce940b89f1d58628c2941122abb228af0b6eec64ca

Aliases

arxiv: 1101.3656 · arxiv_version: 1101.3656v1 · doi: 10.48550/arxiv.1101.3656 · pith_short_12: K2MWJZUZMUW5 · pith_short_16: K2MWJZUZMUW5NJD7 · pith_short_8: K2MWJZUZ

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/K2MWJZUZMUW5NJD7STHJIC4J6H \
  | 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: 569964e699652dd6a47f94ce940b89f1d58628c2941122abb228af0b6eec64ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12332c88b5144cd721b64e7100c66f8285b25ff37c2ec070fba51b81143cba00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-19T10:39:27Z",
    "title_canon_sha256": "8ba1746d4f21f0e841d4914f6da88727cf1a5429ee920898435f182de3b7b0bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3656",
    "kind": "arxiv",
    "version": 1
  }
}