Pith Number

pith:L5KRM5AN

pith:2012:L5KRM5ANKU5SVM7LKD6YUPH7XC

not attested not anchored not stored refs pending

Enveloping algebras of preLie algebras, Solomon idempotents and the Magnus formula

Fr\'ed\'eric Chapoton (ICJ), Fr\'ed\'eric Patras (JAD)

arxiv:1201.2159 v1 · 2012-01-10 · 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{L5KRM5ANKU5SVM7LKD6YUPH7XC}

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	2026-05-18T04:04:53.801499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5516740d553b2ab3eb50fd8a3cffb8975da5f88947564df3897af7a78bd5c3

Aliases

arxiv: 1201.2159 · arxiv_version: 1201.2159v1 · doi: 10.48550/arxiv.1201.2159 · pith_short_12: L5KRM5ANKU5S · pith_short_16: L5KRM5ANKU5SVM7L · pith_short_8: L5KRM5AN

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/L5KRM5ANKU5SVM7LKD6YUPH7XC \
  | 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: 5f5516740d553b2ab3eb50fd8a3cffb8975da5f88947564df3897af7a78bd5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb51670f7f510232d3403b956bb088b02fd515aa18c2c8ab357c6b98d7c7e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-10T20:15:50Z",
    "title_canon_sha256": "4c3b7f7bd661f7b2bdd250a0385e92a6bfc6bbd0a2548eb7ea7883f982eccbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2159",
    "kind": "arxiv",
    "version": 1
  }
}