Pith Number

pith:AQ3XGAUV

pith:2010:AQ3XGAUV4K72R46AXTDKSSAMDL

not attested not anchored not stored refs pending

Minimal thinness for subordinate Brownian motion in half space

Panki Kim, Renming Song, Zoran Vondracek

arxiv:1010.0662 v2 · 2010-10-04 · 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{AQ3XGAUV4K72R46AXTDKSSAMDL}

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	2026-05-18T04:16:53.590027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0437730295e2bfa8f3c0bcc6a9480c1ae4f75802bfa27615e53b364e62b89e3a

Aliases

arxiv: 1010.0662 · arxiv_version: 1010.0662v2 · doi: 10.48550/arxiv.1010.0662 · pith_short_12: AQ3XGAUV4K72 · pith_short_16: AQ3XGAUV4K72R46A · pith_short_8: AQ3XGAUV

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/AQ3XGAUV4K72R46AXTDKSSAMDL \
  | 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: 0437730295e2bfa8f3c0bcc6a9480c1ae4f75802bfa27615e53b364e62b89e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0247915bc0ed9f0fc5dbd7e9b0a7676c43abe6c2da2e8f78b88bdd03bddd9945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-04T19:03:32Z",
    "title_canon_sha256": "2b6e6e3bbcb0e42922937836904d3879b2ade99bc6273fed6d34ac0eebca3529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0662",
    "kind": "arxiv",
    "version": 2
  }
}