Pith Number

pith:WQAAAUSZ

pith:2026:WQAAAUSZZOXBT6BKU6LDSTRRM7

not attested not anchored not stored refs pending

Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups

A.Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad

arxiv:2607.22021 v1 · 2026-07-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQAAAUSZZOXBT6BKU6LDSTRRM7}

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	2026-07-27T01:20:43.588222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b400005259cbae19f82aa796394e3167cbdf2642b4ed9d9e23cc285f056775f1

Aliases

arxiv: 2607.22021 · arxiv_version: 2607.22021v1 · doi: 10.48550/arxiv.2607.22021 · pith_short_12: WQAAAUSZZOXB · pith_short_16: WQAAAUSZZOXBT6BK · pith_short_8: WQAAAUSZ

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/WQAAAUSZZOXBT6BKU6LDSTRRM7 \
  | 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: b400005259cbae19f82aa796394e3167cbdf2642b4ed9d9e23cc285f056775f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f195d4056a18b9d9bc68162f9984832c68f6227b29fb9e5dd0d9b6311518457a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-24T06:39:32Z",
    "title_canon_sha256": "507d39c13e6086839db21a3be3044e3d0350e04064f8a7934653f32bd93a5ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22021",
    "kind": "arxiv",
    "version": 1
  }
}