Pith Number

pith:6FD4CKMA

pith:2012:6FD4CKMAJ6X74ZJINGO3N2RYZP

not attested not anchored not stored refs pending

Some infinite divisibility properties of the reciprocal of planar Brownian motion exit time from a cone

Marc Yor, Stavros Vakeroudis

arxiv:1201.2718 v1 · 2012-01-13 · 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{6FD4CKMAJ6X74ZJINGO3N2RYZP}

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	2026-05-18T04:04:43.251724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f147c129804faffe6528699db6ea38cbe0c7ffd010dc65aa2a6a9f7be012683e

Aliases

arxiv: 1201.2718 · arxiv_version: 1201.2718v1 · doi: 10.48550/arxiv.1201.2718 · pith_short_12: 6FD4CKMAJ6X7 · pith_short_16: 6FD4CKMAJ6X74ZJI · pith_short_8: 6FD4CKMA

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/6FD4CKMAJ6X74ZJINGO3N2RYZP \
  | 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: f147c129804faffe6528699db6ea38cbe0c7ffd010dc65aa2a6a9f7be012683e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0cec672ac55ab1aed13bee561f5ef119f9c3b9123a136c94309ef47f9e64fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-13T00:48:22Z",
    "title_canon_sha256": "e07f1a77f432c85365a2327634bbdbf0cc26886efffccbb67eb0ce1f887ad5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2718",
    "kind": "arxiv",
    "version": 1
  }
}