Pith Number

pith:NU67SDMM

pith:2012:NU67SDMMZTVLGPCTA7H233VJZT

not attested not anchored not stored refs pending

Integrability properties and limit theorems for the exit time from a cone of planar Brownian motion

Marc Yor, Stavros Vakeroudis

arxiv:1201.2716 v2 · 2012-01-13 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NU67SDMMZTVLGPCTA7H233VJZT}

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	2026-05-18T03:05:01.752848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3df90d8ccceab33c5307cfadeea9ccceae2ca5316d4cb7a222af69c1ef60e5

Aliases

arxiv: 1201.2716 · arxiv_version: 1201.2716v2 · doi: 10.48550/arxiv.1201.2716 · pith_short_12: NU67SDMMZTVL · pith_short_16: NU67SDMMZTVLGPCT · pith_short_8: NU67SDMM

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/NU67SDMMZTVLGPCTA7H233VJZT \
  | 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: 6d3df90d8ccceab33c5307cfadeea9ccceae2ca5316d4cb7a222af69c1ef60e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108fb156882fd37e762e1944c76b89a6e77d5c56d85a203f6e5e8a919d3af760",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-13T00:43:16Z",
    "title_canon_sha256": "9a3894d9be2d978396216b260179fabe94922d302f4b6218997405821009aeb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2716",
    "kind": "arxiv",
    "version": 2
  }
}