Pith Number

pith:WFZ4G7XT

pith:2025:WFZ4G7XT64434UE7XDFNWCBG5P

not attested not anchored not stored refs pending

A Marcinkiewicz-Zygmund inequality and the Kadec Pe{\l}czyn\'ski theorem in Orlicz spaces

Eduard Stefanescu, Istvan Berkes, Robert Tichy

arxiv:2506.04025 v4 · 2025-06-04 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFZ4G7XT64434UE7XDFNWCBG5P}

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	2026-06-09T02:07:04.262846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b173c37ef3f739be509fb8cadb0826ebfbd05319cac634d00f202a907b58b308

Aliases

arxiv: 2506.04025 · arxiv_version: 2506.04025v4 · doi: 10.48550/arxiv.2506.04025 · pith_short_12: WFZ4G7XT6443 · pith_short_16: WFZ4G7XT64434UE7 · pith_short_8: WFZ4G7XT

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/WFZ4G7XT64434UE7XDFNWCBG5P \
  | 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: b173c37ef3f739be509fb8cadb0826ebfbd05319cac634d00f202a907b58b308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8422ed191bd9a4d8ec2687ea33dcd1e29c9522a98d72985b978e6274df68fc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-04T14:53:31Z",
    "title_canon_sha256": "cbf1d9bd93e65ce29c390065e7775f8794f44d4a854ab57c4d779d00a21e1086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04025",
    "kind": "arxiv",
    "version": 4
  }
}