pith. sign in
Pith Number

pith:DHUAL424

pith:2016:DHUAL424U67QQ4XULBM3MJQCMT
not attested not anchored not stored refs pending

Stochastic integrals and BDG's inequalities in Orlicz-type spaces

Xicheng Zhang, Yingchao Xie

arxiv:1606.04350 v1 · 2016-06-14 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHUAL424U67QQ4XULBM3MJQCMT}

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 2026-05-18T01:12:25.723823Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19e805f35ca7bf0872f45859b6260264d718df245d2e1436cb587bdf7f8d6f10

Aliases

arxiv: 1606.04350 · arxiv_version: 1606.04350v1 · doi: 10.48550/arxiv.1606.04350 · pith_short_12: DHUAL424U67Q · pith_short_16: DHUAL424U67QQ4XU · pith_short_8: DHUAL424
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHUAL424U67QQ4XULBM3MJQCMT \
  | 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: 19e805f35ca7bf0872f45859b6260264d718df245d2e1436cb587bdf7f8d6f10
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c39402e64747c358d46c26496a546fe8ec9637b153fb9fccdc700a83de03e04a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-14T13:35:24Z",
    "title_canon_sha256": "7543498126f634aa4d4076623e4fd883931122dcd2a39e34b8183f42d71fb048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04350",
    "kind": "arxiv",
    "version": 1
  }
}