Pith Number

pith:JSHQDVE2

pith:2010:JSHQDVE2CFUVKKODHW34XZUV7N

not attested not anchored not stored refs pending

Noncommutative weak Orlicz spaces and martingale inequalities

Peide Liu, Turdebek N. Bekjan, Yong Jiao, Zeqian Chen

arxiv:1006.0091 v2 · 2010-06-01 · 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{JSHQDVE2CFUVKKODHW34XZUV7N}

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	2026-05-18T04:15:36.192992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8f01d49a11695529c33db7cbe695fb483363c6cda1541d9d5b258fef50c53e

Aliases

arxiv: 1006.0091 · arxiv_version: 1006.0091v2 · doi: 10.48550/arxiv.1006.0091 · pith_short_12: JSHQDVE2CFUV · pith_short_16: JSHQDVE2CFUVKKOD · pith_short_8: JSHQDVE2

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/JSHQDVE2CFUVKKODHW34XZUV7N \
  | 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: 4c8f01d49a11695529c33db7cbe695fb483363c6cda1541d9d5b258fef50c53e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd01015c7e538274167f6d25530112bbf44ccc96d6b951afc7e3110171e69135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-01T09:23:36Z",
    "title_canon_sha256": "7543a1ed4f60795a7acb06b655ff74b61ab520a4c39e8d88da022a1331b3325a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0091",
    "kind": "arxiv",
    "version": 2
  }
}