Pith Number

pith:PHU5WNKG

pith:2000:PHU5WNKGQCBWV6ZDK3VYEK2AS2

not attested not anchored not stored refs pending

Necklace Lie algebras and noncommutative symplectic geometry

Lieven Le Bruyn, Raf Bocklandt

arxiv:math/0010030 v1 · 2000-10-03 · math.AG · math-ph · math.DG · math.MP · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHU5WNKGQCBWV6ZDK3VYEK2AS2}

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.

Cited by

1 paper in Pith

Quartic BV structures in supercategories and modified necklace Lie bialgebras

Receipt and verification

First computed	2026-07-04T14:34:50.863972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e9db354680836afb2356eb822b40969427a3b750dcbf71480172c04bcec92f

Aliases

arxiv: math/0010030 · arxiv_version: math/0010030v1 · doi: 10.48550/arxiv.math/0010030 · pith_short_12: PHU5WNKGQCBW · pith_short_16: PHU5WNKGQCBWV6ZD · pith_short_8: PHU5WNKG

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/PHU5WNKGQCBWV6ZDK3VYEK2AS2 \
  | 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: 79e9db354680836afb2356eb822b40969427a3b750dcbf71480172c04bcec92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbedab9599cb72c1df337bb30e00ef1740083ca5ea7c43b76a0dd9f5f25be30",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-03T07:42:43Z",
    "title_canon_sha256": "03b8c281ee8e954c495c2ca7e41d6986655996111a0b01a0a5b6f396d3b316f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010030",
    "kind": "arxiv",
    "version": 1
  }
}