Pith Number

pith:5VIFJXRX

pith:2011:5VIFJXRXQV3Q2PZJVHNJ3ZAQWE

not attested not anchored not stored refs pending

A maximal inequality for stochastic convolutions in 2-smooth Banach spaces

Jan van Neerven, Jiahui Zhu

arxiv:1105.4720 v2 · 2011-05-24 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VIFJXRXQV3Q2PZJVHNJ3ZAQWE}

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	2026-05-18T04:10:23.405080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5054de3785770d3f29a9da9de410b1385a0391b5b89d4118f57250dd87e587

Aliases

arxiv: 1105.4720 · arxiv_version: 1105.4720v2 · doi: 10.48550/arxiv.1105.4720 · pith_short_12: 5VIFJXRXQV3Q · pith_short_16: 5VIFJXRXQV3Q2PZJ · pith_short_8: 5VIFJXRX

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/5VIFJXRXQV3Q2PZJVHNJ3ZAQWE \
  | 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: ed5054de3785770d3f29a9da9de410b1385a0391b5b89d4118f57250dd87e587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57c9a65d6ea7da6314d2f48ef7e6f9fd12d53a44f7b52978943c3c482d87170",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-24T10:10:14Z",
    "title_canon_sha256": "ae158c79806639cf4e6db7c5d5d04bfc4c9d5b6d2b27c23539ba3282165ccbc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4720",
    "kind": "arxiv",
    "version": 2
  }
}