Pith Number

pith:WIEIOWAN

pith:2013:WIEIOWAN3SSNDZS42MZSCDE4RX

not attested not anchored not stored refs pending

Protected nodes and fringe subtrees in some random trees

Luc Devroye, Svante Janson

arxiv:1310.0665 v1 · 2013-10-02 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIEIOWAN3SSNDZS42MZSCDE4RX}

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	2026-05-18T03:11:34.387451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b20887580ddca4d1e65cd333210c9c8df9de9a4ef114367ce1bb4c3fb4d94d83

Aliases

arxiv: 1310.0665 · arxiv_version: 1310.0665v1 · doi: 10.48550/arxiv.1310.0665 · pith_short_12: WIEIOWAN3SSN · pith_short_16: WIEIOWAN3SSNDZS4 · pith_short_8: WIEIOWAN

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/WIEIOWAN3SSNDZS42MZSCDE4RX \
  | 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: b20887580ddca4d1e65cd333210c9c8df9de9a4ef114367ce1bb4c3fb4d94d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d24ce6832df8c50a0671445134b94dfb31bcfc46c98053227264a4deeee5c5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-02T11:32:48Z",
    "title_canon_sha256": "236a755c5358bf67cceb8a9e89cc695d4dff3b3a3c7dcc7aeddc902261185a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0665",
    "kind": "arxiv",
    "version": 1
  }
}