Pith Number

pith:B4COIE36

pith:2012:B4COIE36K6XH5BR5FFFEBUZOWE

not attested not anchored not stored refs pending

Counting trees using symmetries

Alejandro H. Morales, Olivier Bernardi

arxiv:1206.0598 v3 · 2012-06-04 · 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{B4COIE36K6XH5BR5FFFEBUZOWE}

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	2026-05-18T03:28:56.335781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f04e4137e57ae7e863d294a40d32eb109547831d60d5586f266f75dc140f493

Aliases

arxiv: 1206.0598 · arxiv_version: 1206.0598v3 · doi: 10.48550/arxiv.1206.0598 · pith_short_12: B4COIE36K6XH · pith_short_16: B4COIE36K6XH5BR5 · pith_short_8: B4COIE36

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/B4COIE36K6XH5BR5FFFEBUZOWE \
  | 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: 0f04e4137e57ae7e863d294a40d32eb109547831d60d5586f266f75dc140f493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712882de89ff98ab2f2ff90dbb8156424be78d4951fd8a7a3d3b6cda397429dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-04T12:36:25Z",
    "title_canon_sha256": "21dcbb3879f68eb1908a724c9799912e94eaef450e5283844bfbe4b5293ac59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0598",
    "kind": "arxiv",
    "version": 3
  }
}