Pith Number

pith:HWTMPBQV

pith:2018:HWTMPBQVMIV7AWWRGJK7NGDOOQ

not attested not anchored not stored refs pending

Spatial regularity of semigroups generated by L\'{e}vy type operators

Jian Wang, Mingjie Liang

arxiv:1804.03781 v1 · 2018-04-11 · 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{HWTMPBQVMIV7AWWRGJK7NGDOOQ}

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	2026-05-18T00:18:43.092715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da6c78615622bf05ad13255f6986e740f0e4c63d6a4c64455de7bcbd216f7bd

Aliases

arxiv: 1804.03781 · arxiv_version: 1804.03781v1 · doi: 10.48550/arxiv.1804.03781 · pith_short_12: HWTMPBQVMIV7 · pith_short_16: HWTMPBQVMIV7AWWR · pith_short_8: HWTMPBQV

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/HWTMPBQVMIV7AWWRGJK7NGDOOQ \
  | 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: 3da6c78615622bf05ad13255f6986e740f0e4c63d6a4c64455de7bcbd216f7bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9615d4ecb49be653203d5de4b03f3bce9110db4121f7fe43357bfa0fa71d57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-11T02:08:20Z",
    "title_canon_sha256": "4d4f10951fb06588363073a71d5bf7c1553a7a3bc3004081cc7e695329147e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03781",
    "kind": "arxiv",
    "version": 1
  }
}