Pith Number

pith:WSBJEJVD

pith:2009:WSBJEJVD246R5QYONXMEHWJBEZ

not attested not anchored not stored refs pending

Long and short paths in uniform random recursive dags

Luc Devroye, Svante Janson

arxiv:0906.0152 v1 · 2009-05-31 · 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{WSBJEJVD246R5QYONXMEHWJBEZ}

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	2026-05-18T02:13:30.282518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4829226a3d73d1ec30e6dd843d921266d5b569dc9bc03dec93bd1894d38ed65

Aliases

arxiv: 0906.0152 · arxiv_version: 0906.0152v1 · doi: 10.48550/arxiv.0906.0152 · pith_short_12: WSBJEJVD246R · pith_short_16: WSBJEJVD246R5QYO · pith_short_8: WSBJEJVD

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/WSBJEJVD246R5QYONXMEHWJBEZ \
  | 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: b4829226a3d73d1ec30e6dd843d921266d5b569dc9bc03dec93bd1894d38ed65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb429bd6f6222bbea72e477996ee979631dbe85d28db1bc1fb53c3299ea187f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-31T12:51:46Z",
    "title_canon_sha256": "8be1edbb07a2130fc0014750386900ff9b1d8778fb7e334ad4f9f7807b0025f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0152",
    "kind": "arxiv",
    "version": 1
  }
}