Pith Number

pith:LLYWM7YB

pith:2011:LLYWM7YBGOOTIEETOPJBVXPI75

not attested not anchored not stored refs pending

Noncommutative Bennett and Rosenthal inequalities

Marius Junge, Qiang Zeng

arxiv:1111.1027 v4 · 2011-11-04 · math.PR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLYWM7YBGOOTIEETOPJBVXPI75}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:04:38.679121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af1667f01339d34109373d21adde8ff5e6ba3e3fc7c93b114bf86537f42983f

Aliases

arxiv: 1111.1027 · arxiv_version: 1111.1027v4 · doi: 10.48550/arxiv.1111.1027 · pith_short_12: LLYWM7YBGOOT · pith_short_16: LLYWM7YBGOOTIEET · pith_short_8: LLYWM7YB

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/LLYWM7YBGOOTIEETOPJBVXPI75 \
  | 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: 5af1667f01339d34109373d21adde8ff5e6ba3e3fc7c93b114bf86537f42983f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79811f48b9163cec3f1fa0b3cb9a00c152d51c36067084ab5bb06a65bcc8b6cd",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-04T01:34:40Z",
    "title_canon_sha256": "586f153633af89354eec3bd2ff03eebeff9105cd757cd804e0067c346d670598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1027",
    "kind": "arxiv",
    "version": 4
  }
}