Pith Number

pith:54WIHGEU

pith:2010:54WIHGEUJXQBZ5MEAJ275UTOPR

not attested not anchored not stored refs pending

A note on counting labeled and unlabeled trees

Giulio Iacobelli, Victor N. Ermolaev

arxiv:1012.4654 v2 · 2010-12-21 · 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{54WIHGEUJXQBZ5MEAJ275UTOPR}

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	2026-05-18T04:30:25.338532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2c8398944de01cf5840275fed26e7c557cafe09515787f41f05e46f686a97b

Aliases

arxiv: 1012.4654 · arxiv_version: 1012.4654v2 · doi: 10.48550/arxiv.1012.4654 · pith_short_12: 54WIHGEUJXQB · pith_short_16: 54WIHGEUJXQBZ5ME · pith_short_8: 54WIHGEU

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/54WIHGEUJXQBZ5MEAJ275UTOPR \
  | 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: ef2c8398944de01cf5840275fed26e7c557cafe09515787f41f05e46f686a97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0907dbdcd461ce0d50502f72243c749cbc8f5ce86e341af6a488572dc80f7ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-21T13:52:16Z",
    "title_canon_sha256": "56f6556a4912cfdb2098ff23208d7c34ea4c863a90a14c9e91a0c224c726067f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4654",
    "kind": "arxiv",
    "version": 2
  }
}