Pith Number

pith:RARLM3TI

pith:2008:RARLM3TI7NQE74T7BRTFGQAAED

not attested not anchored not stored refs pending

The operad Lie is free

Paolo Salvatore, Roberto Tauraso

arxiv:0802.3010 v1 · 2008-02-21 · math.QA · math.AT · 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{RARLM3TI7NQE74T7BRTFGQAAED}

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	2026-07-04T15:09:42.064183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8822b66e68fb604ff27f0c6653400020fd1e44f92b6cdcf16d3f0655d3e183e4

Aliases

arxiv: 0802.3010 · arxiv_version: 0802.3010v1 · doi: 10.48550/arxiv.0802.3010 · pith_short_12: RARLM3TI7NQE · pith_short_16: RARLM3TI7NQE74T7 · pith_short_8: RARLM3TI

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/RARLM3TI7NQE74T7BRTFGQAAED \
  | 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: 8822b66e68fb604ff27f0c6653400020fd1e44f92b6cdcf16d3f0655d3e183e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7cfcd392b48ba37ccef11f5d825b9913246ccb80a0e110d1d93e687bdea8a2",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-02-21T10:12:50Z",
    "title_canon_sha256": "9cf9c3195ff5e7db838cbd7bd49924d55a61598d93aa15606770fe9a6ba999fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3010",
    "kind": "arxiv",
    "version": 1
  }
}