Pith Number

pith:OKNXMVE7

pith:2024:OKNXMVE74UHM2VVIDYMAGWXL2R

not attested not anchored not stored refs pending

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

Laurent Bartholdi, Persi Diaconis

arxiv:2411.17613 v1 · 2024-11-26 · math.CO · math.GR · math.PR

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\usepackage{pith}
\pithnumber{OKNXMVE74UHM2VVIDYMAGWXL2R}

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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.

Cited by

2 papers in Pith

The dual Burnside process

Leap generators for composition schemes

Receipt and verification

First computed	2026-07-05T09:40:49.526748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729b76549fe50ecd56a81e18035aebd4685db09fe372ee0f894511da84357d2a

Aliases

arxiv: 2411.17613 · arxiv_version: 2411.17613v1 · doi: 10.48550/arxiv.2411.17613 · pith_short_12: OKNXMVE74UHM · pith_short_16: OKNXMVE74UHM2VVI · pith_short_8: OKNXMVE7

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/OKNXMVE74UHM2VVIDYMAGWXL2R \
  | 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: 729b76549fe50ecd56a81e18035aebd4685db09fe372ee0f894511da84357d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd54c57d4dff903cd5257bcb8734fdf5208af01c5f2ce3d0984ca89cd9db1f3",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-26T17:27:09Z",
    "title_canon_sha256": "738d910268538fbbef92f77ca6de13eb09d5c8893a0f3e1e0ce737d1c006e764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17613",
    "kind": "arxiv",
    "version": 1
  }
}