Pith Number

pith:JF6SKZA6

pith:2024:JF6SKZA6LH55UJXKBWAKUIAB5P

not attested not anchored not stored refs pending

The Critical Beta-splitting Random Tree IV: Mellin analysis of Leaf Height

David Aldous, Svante Janson

arxiv:2412.12319 v1 · 2024-12-16 · math.PR · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF6SKZA6LH55UJXKBWAKUIAB5P}

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	2026-07-05T09:50:13.239861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497d25641e59fbda26ea0d80aa2001ebed88b72ae5c75eaaa0dc4730b42d4d26

Aliases

arxiv: 2412.12319 · arxiv_version: 2412.12319v1 · doi: 10.48550/arxiv.2412.12319 · pith_short_12: JF6SKZA6LH55 · pith_short_16: JF6SKZA6LH55UJXK · pith_short_8: JF6SKZA6

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/JF6SKZA6LH55UJXKBWAKUIAB5P \
  | 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: 497d25641e59fbda26ea0d80aa2001ebed88b72ae5c75eaaa0dc4730b42d4d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbc841fbafdace4bfa5a7ec84adbc3f007324ebe7a59d4ee2f0b7a6934f2ea5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-16T19:37:04Z",
    "title_canon_sha256": "9627dbba4f16db4eb9c6d95cd6ce46e365f4a7039c80b1f29b33f1d39313d276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12319",
    "kind": "arxiv",
    "version": 1
  }
}