Pith Number

pith:PRBN3EKM

pith:2011:PRBN3EKMGF3GN464JOQAAL7XM7

not attested not anchored not stored refs pending

The Lie algebra of rooted planar trees

Nariya Kawazumi, Tomohiko Ishida

arxiv:1105.4713 v3 · 2011-05-24 · math.RT · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRBN3EKMGF3GN464JOQAAL7XM7}

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	2026-05-18T04:12:44.411042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c42dd914c317666f3dc4ba0002ff767e1b4fd58b6f98253f8988d7d70321d5a

Aliases

arxiv: 1105.4713 · arxiv_version: 1105.4713v3 · doi: 10.48550/arxiv.1105.4713 · pith_short_12: PRBN3EKMGF3G · pith_short_16: PRBN3EKMGF3GN464 · pith_short_8: PRBN3EKM

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/PRBN3EKMGF3GN464JOQAAL7XM7 \
  | 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: 7c42dd914c317666f3dc4ba0002ff767e1b4fd58b6f98253f8988d7d70321d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3879f857f31dbf0b55b7ccb3539ba742914fc24f57250a4b5a2d3fbb5f0d1946",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-24T09:31:25Z",
    "title_canon_sha256": "08acf1502cc7a4255dea1f08e2be6c29e1344ad02b3c9f16238ac4d91639d03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4713",
    "kind": "arxiv",
    "version": 3
  }
}