Pith Number

pith:6EJRXNGD

pith:2002:6EJRXNGDT55ZLJBFRCNUXJFF37

not attested not anchored not stored refs pending

Combinatorics of Rooted Trees and Hopf Algebras

Michael E. Hoffman

arxiv:math/0201253 v3 · 2002-01-25 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EJRXNGDT55ZLJBFRCNUXJFF37}

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	2026-05-18T01:02:59.791434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1131bb4c39f7b95a425889b4ba4a5dffa3e8f857d9aaf4cca134862e37a8ffd

Aliases

arxiv: math/0201253 · arxiv_version: math/0201253v3 · doi: 10.48550/arxiv.math/0201253 · pith_short_12: 6EJRXNGDT55Z · pith_short_16: 6EJRXNGDT55ZLJBF · pith_short_8: 6EJRXNGD

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/6EJRXNGDT55ZLJBFRCNUXJFF37 \
  | 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: f1131bb4c39f7b95a425889b4ba4a5dffa3e8f857d9aaf4cca134862e37a8ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1e6a9b52e59c902a3eb0ee75ea201e3714d21988fa7acffc02d07a350a2920",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-01-25T20:17:59Z",
    "title_canon_sha256": "88fcce8e2900dfde42349b45592f5531f82233d16a17b52eb6ae3966901da8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201253",
    "kind": "arxiv",
    "version": 3
  }
}