pith. sign in
Pith Number

pith:N2WAXGKP

pith:2016:N2WAXGKP3EUUAS7QNN4DKS2FDB
not attested not anchored not stored refs pending

On a generalized uniform zero-two law for positive contractions of non-commutative $L_1$-spaces and its vector-valued extension

Dilmurod Bekbaev, Farrukh Mukhamedov, Inomjon Ganiev

arxiv:1603.07812 v1 · 2016-03-25 · math.OA · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N2WAXGKP3EUUAS7QNN4DKS2FDB}

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 2026-05-18T00:10:32.509095Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6eac0b994fd929404bf06b78354b45184f3949f085e18ef0009bf67d4ae5403b

Aliases

arxiv: 1603.07812 · arxiv_version: 1603.07812v1 · doi: 10.48550/arxiv.1603.07812 · pith_short_12: N2WAXGKP3EUU · pith_short_16: N2WAXGKP3EUUAS7Q · pith_short_8: N2WAXGKP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N2WAXGKP3EUUAS7QNN4DKS2FDB \
  | 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: 6eac0b994fd929404bf06b78354b45184f3949f085e18ef0009bf67d4ae5403b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e572e2581afc373572c4ecccf6ea274fa288bbb8d5a6eaa17c51290c2ab37358",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-25T03:03:18Z",
    "title_canon_sha256": "f7cc70525612c78eda7e6bbb5c2b24ea304852b50c8977f2d041b0173e52ad94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07812",
    "kind": "arxiv",
    "version": 1
  }
}