Pith Number

pith:L6WLCBV3

pith:2019:L6WLCBV3USQKRGJTUQRYP37FTN

not attested not anchored not stored refs pending

$L^q(L^p)$-theory of stochastic differential equations

Guohuan Zhao, Longjie Xie, Pengcheng Xia, Xicheng Zhang

arxiv:1908.01255 v1 · 2019-08-04 · 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{L6WLCBV3USQKRGJTUQRYP37FTN}

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	2026-07-04T23:51:28.519893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5facb106bba4a0a89933a42387efe59b7d2f1edb4c38da9c5f948495ca6b97a8

Aliases

arxiv: 1908.01255 · arxiv_version: 1908.01255v1 · doi: 10.48550/arxiv.1908.01255 · pith_short_12: L6WLCBV3USQK · pith_short_16: L6WLCBV3USQKRGJT · pith_short_8: L6WLCBV3

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/L6WLCBV3USQKRGJTUQRYP37FTN \
  | 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: 5facb106bba4a0a89933a42387efe59b7d2f1edb4c38da9c5f948495ca6b97a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47861ad6d7c6369bcf479ef20fa643c2c2fd3f9705ec4542ace8a6a49399ab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-04T01:52:13Z",
    "title_canon_sha256": "31177a7df5b78d27b9b4ad3018b3c55ceb390363236f015606e123f874a20211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01255",
    "kind": "arxiv",
    "version": 1
  }
}