Pith Number

pith:QQZOL4LC

pith:2016:QQZOL4LCVSRVVNWSXXXUO4NNTB

not attested not anchored not stored refs pending

On occupation times of the first and third quadrants for planar Brownian motion

Larry Shepp, Philip Ernst

arxiv:1602.07605 v3 · 2016-02-24 · 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{QQZOL4LCVSRVVNWSXXXUO4NNTB}

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	2026-05-18T01:09:06.671593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8432e5f162aca35ab6d2bdef4771ad986ecc366b8935d22a7466159a1231bbe0

Aliases

arxiv: 1602.07605 · arxiv_version: 1602.07605v3 · doi: 10.48550/arxiv.1602.07605 · pith_short_12: QQZOL4LCVSRV · pith_short_16: QQZOL4LCVSRVVNWS · pith_short_8: QQZOL4LC

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/QQZOL4LCVSRVVNWSXXXUO4NNTB \
  | 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: 8432e5f162aca35ab6d2bdef4771ad986ecc366b8935d22a7466159a1231bbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f86deba5eacb01f0b459d96ec08c7896430da94a7b3fe363e81a4cd425099e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-24T17:24:15Z",
    "title_canon_sha256": "c8fc77c53465c82cf883e4205c39842b438aa1a2df46e9a76ee0a18867821635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07605",
    "kind": "arxiv",
    "version": 3
  }
}