Pith Number

pith:3XQWAHMU

pith:2026:3XQWAHMUAJ5YXIA4RGGPMDY3TO

not attested not anchored not stored refs pending

Linear time sampling of P\'olya trees

Benedikt Stufler

arxiv:2606.23439 v1 · 2026-06-22 · 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{3XQWAHMUAJ5YXIA4RGGPMDY3TO}

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	2026-06-23T03:14:20.005803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde1601d94027b8ba01c898cf60f1b9b8cc2aaa5135d494ab2bb42e2cd075c6f

Aliases

arxiv: 2606.23439 · arxiv_version: 2606.23439v1 · doi: 10.48550/arxiv.2606.23439 · pith_short_12: 3XQWAHMUAJ5Y · pith_short_16: 3XQWAHMUAJ5YXIA4 · pith_short_8: 3XQWAHMU

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/3XQWAHMUAJ5YXIA4RGGPMDY3TO \
  | 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: dde1601d94027b8ba01c898cf60f1b9b8cc2aaa5135d494ab2bb42e2cd075c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b662c813ab3711afc1d7366f92c43895253030e7dec51b1e8106a9ec5c78cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T14:58:08Z",
    "title_canon_sha256": "144577c7a5f130995d5e070eea367cab6af314d75ba9585f57961b7bd2928d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23439",
    "kind": "arxiv",
    "version": 1
  }
}