Pith Number

pith:PK7VBEKY

pith:2011:PK7VBEKYMB6PPRUBFZVDHR5FJ5

not attested not anchored not stored refs pending

An L_p-theory of stochastic parabolic equations with the random fractional Laplacian driven by L\'evy processes

Kyeong-Hun Kim, Panki Kim

arxiv:1111.4712 v1 · 2011-11-21 · 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{PK7VBEKYMB6PPRUBFZVDHR5FJ5}

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	2026-05-18T04:08:02.783871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abf509158607cf7c6812e6a33c7a54f7037c2012cb0faab5ebb7da452810f1b

Aliases

arxiv: 1111.4712 · arxiv_version: 1111.4712v1 · doi: 10.48550/arxiv.1111.4712 · pith_short_12: PK7VBEKYMB6P · pith_short_16: PK7VBEKYMB6PPRUB · pith_short_8: PK7VBEKY

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/PK7VBEKYMB6PPRUBFZVDHR5FJ5 \
  | 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: 7abf509158607cf7c6812e6a33c7a54f7037c2012cb0faab5ebb7da452810f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6fd7e1b831f846c36ff257626268a0a5a678f90cf0013cd3450743a4d77102",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-21T01:50:37Z",
    "title_canon_sha256": "f85f7b382cfefc9aaa2c868aed974e6d8baf732f157d9ff082d166cee101a3df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4712",
    "kind": "arxiv",
    "version": 1
  }
}