Pith Number

pith:AEY4FEEK

pith:2012:AEY4FEEKAWDCSPEF5OSAAKEF3Z

not attested not anchored not stored refs pending

Counting Line-Colored D-ary Trees

Razvan Gurau, Valentin Bonzom

arxiv:1206.4203 v1 · 2012-06-19 · math-ph · hep-th · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEY4FEEKAWDCSPEF5OSAAKEF3Z}

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	2026-05-18T03:53:16.457879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0131c2908a0586293c85eba4002885de450dce487b1402e7c6e6521de1d1c417

Aliases

arxiv: 1206.4203 · arxiv_version: 1206.4203v1 · doi: 10.48550/arxiv.1206.4203 · pith_short_12: AEY4FEEKAWDC · pith_short_16: AEY4FEEKAWDCSPEF · pith_short_8: AEY4FEEK

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/AEY4FEEKAWDCSPEF5OSAAKEF3Z \
  | 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: 0131c2908a0586293c85eba4002885de450dce487b1402e7c6e6521de1d1c417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea10d7822b8c6f815f3bfcba1eb0ea9d19bc25eff300bb74e53dfbd90cbd7bad",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-19T13:29:04Z",
    "title_canon_sha256": "bedf100c95c219f8cf7eb7e4d02aa36e1821b419165298f4e22e016f16770a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4203",
    "kind": "arxiv",
    "version": 1
  }
}