Pith Number

pith:5A4UEWPV

pith:2017:5A4UEWPVQDD3VTRQOWDXG23EMC

not attested not anchored not stored refs pending

Morrey-Campanato estimates for the moments of stochastic integral operators and its application to SPDEs

Guangying Lv, Hongjun Gao, Jiang-Lun Wu, Jinlong Wei

arxiv:1704.05580 v1 · 2017-04-19 · 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{5A4UEWPVQDD3VTRQOWDXG23EMC}

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	2026-05-18T00:46:07.066213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8394259f580c7bace307587736b64608ed2d673ba42a27c46aa77162bc73d7a

Aliases

arxiv: 1704.05580 · arxiv_version: 1704.05580v1 · doi: 10.48550/arxiv.1704.05580 · pith_short_12: 5A4UEWPVQDD3 · pith_short_16: 5A4UEWPVQDD3VTRQ · pith_short_8: 5A4UEWPV

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/5A4UEWPVQDD3VTRQOWDXG23EMC \
  | 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: e8394259f580c7bace307587736b64608ed2d673ba42a27c46aa77162bc73d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dcb96c90a268922a025beded95460c43b27a7ca59759bcbddf3dab5a8137a79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-19T02:04:18Z",
    "title_canon_sha256": "62ca7d2212ea75357093c819198a4e502dfb712ffdd9d2baf23209e5b361fe71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05580",
    "kind": "arxiv",
    "version": 1
  }
}