Pith Number

pith:P2IGPZSS

pith:2015:P2IGPZSSPOZWHSRMRP7LYHDKDC

not attested not anchored not stored refs pending

Fatou's theorem for subordinate Brownian motions with Gaussian components on $C^{1,1}$ open sets

Hyunchul Park

arxiv:1512.07868 v4 · 2015-12-24 · 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{P2IGPZSSPOZWHSRMRP7LYHDKDC}

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	2026-05-18T00:46:55.876148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9067e6527bb363ca2c8bfebc1c6a18b65db31a00cd78766f111717d76356f3

Aliases

arxiv: 1512.07868 · arxiv_version: 1512.07868v4 · doi: 10.48550/arxiv.1512.07868 · pith_short_12: P2IGPZSSPOZW · pith_short_16: P2IGPZSSPOZWHSRM · pith_short_8: P2IGPZSS

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/P2IGPZSSPOZWHSRMRP7LYHDKDC \
  | 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: 7e9067e6527bb363ca2c8bfebc1c6a18b65db31a00cd78766f111717d76356f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4100f1ab2b901fbc383c7168671e26d662a04a871751fb2a401bd33f223e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-24T17:29:25Z",
    "title_canon_sha256": "49844d44e5f6205c89bde7e6edbf1fb56997870cf9cb1e0756f9b25161e26a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07868",
    "kind": "arxiv",
    "version": 4
  }
}