pith. sign in
Pith Number

pith:CBZVEUPF

pith:2015:CBZVEUPFOEHO57IVGT5KY7IJHU
not attested not anchored not stored refs pending

Noncommutative $R^d$ via closed star product

P. Vitale, V.G. Kupriyanov

arxiv:1502.06544 v2 · 2015-02-23 · hep-th · math-ph · math.MP · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CBZVEUPFOEHO57IVGT5KY7IJHU}

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 2026-05-18T01:35:34.961180Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

10735251e5710eeefd1534faac7d093d1d4dde05162c9ec5d27035392950a655

Aliases

arxiv: 1502.06544 · arxiv_version: 1502.06544v2 · doi: 10.48550/arxiv.1502.06544 · pith_short_12: CBZVEUPFOEHO · pith_short_16: CBZVEUPFOEHO57IV · pith_short_8: CBZVEUPF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CBZVEUPFOEHO57IVGT5KY7IJHU \
  | 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: 10735251e5710eeefd1534faac7d093d1d4dde05162c9ec5d27035392950a655
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "039318285d9d3be1b6580459e38edf305e74d7538b68673836dc529bf01eae94",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-02-23T18:40:51Z",
    "title_canon_sha256": "37398db8baf3ae0abe20a7b8a420195dc218f16179d61242961a9679f40061a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06544",
    "kind": "arxiv",
    "version": 2
  }
}