Pith Number

pith:CYSYAF33

pith:2014:CYSYAF33X3EFJ5OU2AM2MQL3RW

not attested not anchored not stored refs pending

Local limit theorem for the maximum of a random walk

Johannes Kugler

arxiv:1403.7372 v2 · 2014-03-28 · 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{CYSYAF33X3EFJ5OU2AM2MQL3RW}

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	2026-05-18T02:55:12.811306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162580177bbec854f5d4d019a6417b8d829ebc228840835c72ca5294572db77a

Aliases

arxiv: 1403.7372 · arxiv_version: 1403.7372v2 · doi: 10.48550/arxiv.1403.7372 · pith_short_12: CYSYAF33X3EF · pith_short_16: CYSYAF33X3EFJ5OU · pith_short_8: CYSYAF33

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/CYSYAF33X3EFJ5OU2AM2MQL3RW \
  | 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: 162580177bbec854f5d4d019a6417b8d829ebc228840835c72ca5294572db77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2377607d6dcb6332a5e7204af43516464be5be5ae3e8ab9b5cdf7fde9818634f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-28T13:39:52Z",
    "title_canon_sha256": "57e4906ec4e6d757440d2394c190116ac902942055bf0390db83c929ff3dcee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7372",
    "kind": "arxiv",
    "version": 2
  }
}