pith. sign in
Pith Number

pith:W4ZK3OLN

pith:2011:W4ZK3OLNT34P4G4P6IE7X4DRSN
not attested not anchored not stored refs pending

Non-coboundary Poisson-Lie structures on the book group

Alfonso Blasco, Angel Ballesteros, Fabio Musso

arxiv:1112.2623 v2 · 2011-12-12 · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4ZK3OLNT34P4G4P6IE7X4DRSN}

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 2026-05-18T03:56:10.466220Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b732adb96d9ef8fe1b8ff209fbf0719370f4b73603abe7b895aeabcd4516b189

Aliases

arxiv: 1112.2623 · arxiv_version: 1112.2623v2 · doi: 10.48550/arxiv.1112.2623 · pith_short_12: W4ZK3OLNT34P · pith_short_16: W4ZK3OLNT34P4G4P · pith_short_8: W4ZK3OLN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4ZK3OLNT34P4G4P6IE7X4DRSN \
  | 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: b732adb96d9ef8fe1b8ff209fbf0719370f4b73603abe7b895aeabcd4516b189
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fdbcbc2ed930e3cf9c5c33236b18ef7d44968bc6b77cc9885a6bff69524ef972",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-12T17:06:53Z",
    "title_canon_sha256": "1600634b12a56f7fe10ba982fcab9e6f3bb2f1cb26dc07b5cb225d690ac3ba20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2623",
    "kind": "arxiv",
    "version": 2
  }
}