Pith Number

pith:LKN4BLL3

pith:2018:LKN4BLL3U5EXMZDT3OU3Y4EXM6

not attested not anchored not stored refs pending

Heat kernel for non-local operators with variable order

Jian Wang, Xin Chen, Zhen-Qing Chen

arxiv:1811.09972 v1 · 2018-11-25 · 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{LKN4BLL3U5EXMZDT3OU3Y4EXM6}

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	2026-05-17T23:59:58.970013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9bc0ad7ba749766473dba9bc709767930936f1e4a8935838d8167251b56d4e

Aliases

arxiv: 1811.09972 · arxiv_version: 1811.09972v1 · doi: 10.48550/arxiv.1811.09972 · pith_short_12: LKN4BLL3U5EX · pith_short_16: LKN4BLL3U5EXMZDT · pith_short_8: LKN4BLL3

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/LKN4BLL3U5EXMZDT3OU3Y4EXM6 \
  | 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: 5a9bc0ad7ba749766473dba9bc709767930936f1e4a8935838d8167251b56d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8851133ab9a5aa6379641fb4662abb19a789e9a36ac6ae70561379da279390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-25T08:27:00Z",
    "title_canon_sha256": "6ff98fd274fb10b4cd970baaa9e7c2bb2bebe560e029ba1d582a9e3bbb0650cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09972",
    "kind": "arxiv",
    "version": 1
  }
}