pith. sign in
Pith Number

pith:D6BFBFAF

pith:2009:D6BFBFAFZ5IWCFY4SAW5W6J6QD
not attested not anchored not stored refs pending

Classical r-matrices of two and three dimensional Lie super-bialgebras and their Poisson-Lie supergroups

A. Eghbali, A. Rezaei-Aghdam

arxiv:0908.2182 v4 · 2009-08-15 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D6BFBFAFZ5IWCFY4SAW5W6J6QD}

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 2026-05-18T02:12:33.883835Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f82509405cf5161171c902ddb793e80f5c688db995427ca51fd6eac980ce734

Aliases

arxiv: 0908.2182 · arxiv_version: 0908.2182v4 · doi: 10.48550/arxiv.0908.2182 · pith_short_12: D6BFBFAFZ5IW · pith_short_16: D6BFBFAFZ5IWCFY4 · pith_short_8: D6BFBFAF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D6BFBFAFZ5IWCFY4SAW5W6J6QD \
  | 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: 1f82509405cf5161171c902ddb793e80f5c688db995427ca51fd6eac980ce734
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "13f9c68012387bfec6aa7cedfccba2a865cf94c882b8cef7a6090b2b696a02c8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-15T13:34:49Z",
    "title_canon_sha256": "d3bc25e1e59840cb9c48604b0a08ecdaefe7ddfa947a1d09f81f191f95f743b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2182",
    "kind": "arxiv",
    "version": 4
  }
}