Pith Number

pith:L47TMDMD

pith:2011:L47TMDMDN5NEMC4DVHQLPYCGZ4

not attested not anchored not stored refs pending

Potential Theory of Subordinate Brownian Motions Revisited

Panki Kim, Renming Song, Zoran Vondracek

arxiv:1102.1369 v2 · 2011-02-07 · 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{L47TMDMDN5NEMC4DVHQLPYCGZ4}

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	2026-05-18T04:16:53.492969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3f360d836f5a460b83a9e0b7e046cf1c9a868b02920ad56033c17d0f81e456

Aliases

arxiv: 1102.1369 · arxiv_version: 1102.1369v2 · doi: 10.48550/arxiv.1102.1369 · pith_short_12: L47TMDMDN5NE · pith_short_16: L47TMDMDN5NEMC4D · pith_short_8: L47TMDMD

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/L47TMDMDN5NEMC4DVHQLPYCGZ4 \
  | 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: 5f3f360d836f5a460b83a9e0b7e046cf1c9a868b02920ad56033c17d0f81e456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217fc16af776d5390ab844bbe44572267ebf6aea6fdd8286700eacbcc8b39c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-07T17:32:42Z",
    "title_canon_sha256": "4e2e77ea2d841c0c18960a179fee7ec317679481f712db042a8b46c7d6db7f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1369",
    "kind": "arxiv",
    "version": 2
  }
}