Pith Number

pith:RLGHPDQK

pith:2008:RLGHPDQKD4RS4MUAAUEGZ4QH5V

not attested not anchored not stored refs pending

The non-symmetric operad pre-Lie is free

Muriel Livernet (LAGA), Nantel Bergeron

arxiv:0811.0888 v2 · 2008-11-06 · math.RA · 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{RLGHPDQKD4RS4MUAAUEGZ4QH5V}

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	2026-05-18T01:00:10.742529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8acc778e0a1f232e328005086cf207ed6ae4852f3b7fb088c1496c04bf76bacd

Aliases

arxiv: 0811.0888 · arxiv_version: 0811.0888v2 · doi: 10.48550/arxiv.0811.0888 · pith_short_12: RLGHPDQKD4RS · pith_short_16: RLGHPDQKD4RS4MUA · pith_short_8: RLGHPDQK

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/RLGHPDQKD4RS4MUAAUEGZ4QH5V \
  | 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: 8acc778e0a1f232e328005086cf207ed6ae4852f3b7fb088c1496c04bf76bacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9dd97b99a0c2f2792c790a8e4a18e2c6b01bcf93b47f10e57427eab71a6274b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-11-06T07:59:41Z",
    "title_canon_sha256": "2c45692d15f565d60eb59d41355664059d4bc555704f576a44c78f55e1385c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0888",
    "kind": "arxiv",
    "version": 2
  }
}