Pith Number

pith:B4E7UH7P

pith:2007:B4E7UH7PLBIZDE5ALSXF7WPMOZ

not attested not anchored not stored refs pending

Free pre-Lie algebras are free as Lie algebras

Fr\'ed\'eric Chapoton (ICJ)

arxiv:0704.2153 v1 · 2007-04-17 · math.RA · 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{B4E7UH7PLBIZDE5ALSXF7WPMOZ}

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	2026-05-18T02:54:39.913245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f09fa1fef58519193a05cae5fd9ec766442084b6c2248c99fe9a823cf2b1774

Aliases

arxiv: 0704.2153 · arxiv_version: 0704.2153v1 · doi: 10.48550/arxiv.0704.2153 · pith_short_12: B4E7UH7PLBIZ · pith_short_16: B4E7UH7PLBIZDE5A · pith_short_8: B4E7UH7P

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/B4E7UH7PLBIZDE5ALSXF7WPMOZ \
  | 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: 0f09fa1fef58519193a05cae5fd9ec766442084b6c2248c99fe9a823cf2b1774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5b8804137c801366c0b440e8327e7e441874c9c586bba0bdfcf159d5420293",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-04-17T13:45:30Z",
    "title_canon_sha256": "9f83726e078e0ceb11b6b1c638b80ca6cb3af312a0caf4db38ed0abbc66fc675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2153",
    "kind": "arxiv",
    "version": 1
  }
}