Pith Number

pith:DX2J2HRU

pith:2010:DX2J2HRUZXICOUQMFCYNRZD4C6

not attested not anchored not stored refs pending

Fine structures inside the PreLie operad

Fr\'ed\'eric Chapoton (ICJ)

arxiv:1010.3176 v1 · 2010-10-15 · 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{DX2J2HRUZXICOUQMFCYNRZD4C6}

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	2026-05-18T04:39:17.524633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df49d1e34cdd027520c28b0d8e47c179dc6036cbeef540573c32fe182d19c48

Aliases

arxiv: 1010.3176 · arxiv_version: 1010.3176v1 · doi: 10.48550/arxiv.1010.3176 · pith_short_12: DX2J2HRUZXIC · pith_short_16: DX2J2HRUZXICOUQM · pith_short_8: DX2J2HRU

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/DX2J2HRUZXICOUQMFCYNRZD4C6 \
  | 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: 1df49d1e34cdd027520c28b0d8e47c179dc6036cbeef540573c32fe182d19c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17032993fc0c25edf42dd9d40ce1e55e214983a0a2a1fcdd9cc5371db61d16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-10-15T14:17:08Z",
    "title_canon_sha256": "9922b382d76b9d0af3b4d8bb3c00e46339fd11fb3763f89e6e5b41dbd40bbd1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3176",
    "kind": "arxiv",
    "version": 1
  }
}