Pith Number

pith:HZAK22V6

pith:2011:HZAK22V6LHJ7ONXC6PFV7R3OJT

not attested not anchored not stored refs pending

Potential theory of subordinate Brownian motions with Gaussian components

Panki Kim, Renming Song, Zoran Vondracek

arxiv:1106.5858 v2 · 2011-06-29 · 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{HZAK22V6LHJ7ONXC6PFV7R3OJT}

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	2026-05-18T03:58:36.902896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e40ad6abe59d3f736e2f3cb5fc76e4cf2e45debfb78d889d91e24cdded932ed

Aliases

arxiv: 1106.5858 · arxiv_version: 1106.5858v2 · doi: 10.48550/arxiv.1106.5858 · pith_short_12: HZAK22V6LHJ7 · pith_short_16: HZAK22V6LHJ7ONXC · pith_short_8: HZAK22V6

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/HZAK22V6LHJ7ONXC6PFV7R3OJT \
  | 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: 3e40ad6abe59d3f736e2f3cb5fc76e4cf2e45debfb78d889d91e24cdded932ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cffa870b189bedd09f9a680266e98f9e11d267261cb11f2ee2f0b34e5576d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-29T07:44:19Z",
    "title_canon_sha256": "18ce86efd1f088b8491ace75fd437a50ba2c85a6bf7b06036546ca61498fe78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5858",
    "kind": "arxiv",
    "version": 2
  }
}