Pith Number

pith:ZPXNYFIJ

pith:2015:ZPXNYFIJHBK6HTFRGSWKCQMQEK

not attested not anchored not stored refs pending

Exponential mixing for SPDEs driven by highly degenerate L\'evy noises

Lihu Xu, Xiaobin Sun, Yingchao Xie

arxiv:1510.01902 v1 · 2015-10-07 · 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{ZPXNYFIJHBK6HTFRGSWKCQMQEK}

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	2026-07-05T00:18:28.568527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbeedc15093855e3ccb134aca1419022ab00b3b6a79607dee1ea7b8d46573a0c

Aliases

arxiv: 1510.01902 · arxiv_version: 1510.01902v1 · doi: 10.48550/arxiv.1510.01902 · pith_short_12: ZPXNYFIJHBK6 · pith_short_16: ZPXNYFIJHBK6HTFR · pith_short_8: ZPXNYFIJ

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/ZPXNYFIJHBK6HTFRGSWKCQMQEK \
  | 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: cbeedc15093855e3ccb134aca1419022ab00b3b6a79607dee1ea7b8d46573a0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34d27ed9ea24ea49e470561ef676852f478427bf235c5f9da1a9b548e0bdb98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-07T11:29:05Z",
    "title_canon_sha256": "e9aaafd3addc3c2fa25d4ec7bd4a90d6715a42482df903d3e05defeb42419d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01902",
    "kind": "arxiv",
    "version": 1
  }
}