Pith Number

pith:ODZ6BMYH

pith:2022:ODZ6BMYH7HBY6CY7S3KUBE4SL7

not attested not anchored not stored refs pending

The distribution of the number of automorphisms of random trees

Christoffer Olsson, Stephan Wagner

arxiv:2211.12801 v2 · 2022-11-23 · 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{ODZ6BMYH7HBY6CY7S3KUBE4SL7}

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	2026-07-05T05:53:34.779080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f3e0b307f9c38f0b1f96d54093925fe8fcc3cf74062d925467259e3384b38e

Aliases

arxiv: 2211.12801 · arxiv_version: 2211.12801v2 · doi: 10.48550/arxiv.2211.12801 · pith_short_12: ODZ6BMYH7HBY · pith_short_16: ODZ6BMYH7HBY6CY7 · pith_short_8: ODZ6BMYH

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/ODZ6BMYH7HBY6CY7S3KUBE4SL7 \
  | 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: 70f3e0b307f9c38f0b1f96d54093925fe8fcc3cf74062d925467259e3384b38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348a12f067a9bdba8d64e00b4c1f0759a2e1dfa49052e2775296425fb3ed384c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-23T09:36:19Z",
    "title_canon_sha256": "0963ce067c00feaf2709b373b94d5ddca47e92abed9b30c260ee482521b303a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12801",
    "kind": "arxiv",
    "version": 2
  }
}