Pith Number

pith:U4CJSJVM

pith:2009:U4CJSJVM7LIMF4C425RLPHEQZL

not attested not anchored not stored refs pending

Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree

Ken Yamamoto, Yoshihiro Yamazaki

arxiv:0904.2043 v2 · 2009-04-14 · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4CJSJVM7LIMF4C425RLPHEQZL}

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	2026-05-18T03:28:43.305661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7049926acfad0c2f05cd762b79c90cac608826c13d29a2040166e111e5718e8

Aliases

arxiv: 0904.2043 · arxiv_version: 0904.2043v2 · doi: 10.48550/arxiv.0904.2043 · pith_short_12: U4CJSJVM7LIM · pith_short_16: U4CJSJVM7LIMF4C4 · pith_short_8: U4CJSJVM

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/U4CJSJVM7LIMF4C425RLPHEQZL \
  | 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: a7049926acfad0c2f05cd762b79c90cac608826c13d29a2040166e111e5718e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32518da1567e0a7add5118f65c9198800b700d27ee53733ee7ba5011cf8f7080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2009-04-14T03:45:08Z",
    "title_canon_sha256": "0cc42de5292e8a9dba4d8a7e33498f19bc45a03df24224437e50c763b1c17de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2043",
    "kind": "arxiv",
    "version": 2
  }
}