Pith Number

pith:C3YXDDVU

pith:2010:C3YXDDVUGW4PZMOIU2HWBWINRU

not attested not anchored not stored refs pending

Large deviations for the local fluctuations of random walks and new insights into the "randomness" of Pi

Julien Barral, Patrick Loiseau

arxiv:1004.3713 v2 · 2010-04-21 · math.PR · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3YXDDVUGW4PZMOIU2HWBWINRU}

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	2026-05-18T04:06:55.211146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f1718eb435b8fcb1c8a68f60d90d8d1fa3154258a0f59888b47b636eddc487

Aliases

arxiv: 1004.3713 · arxiv_version: 1004.3713v2 · doi: 10.48550/arxiv.1004.3713 · pith_short_12: C3YXDDVUGW4P · pith_short_16: C3YXDDVUGW4PZMOI · pith_short_8: C3YXDDVU

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/C3YXDDVUGW4PZMOIU2HWBWINRU \
  | 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: 16f1718eb435b8fcb1c8a68f60d90d8d1fa3154258a0f59888b47b636eddc487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b48a41147feb943b6b2c426de635fc58fd38588269bac84890b077ed9e2a76",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-21T14:21:16Z",
    "title_canon_sha256": "77ddd01e448ef74c9f7be20a81b57cc76ad634e1a48407cae29ae80d95edc45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3713",
    "kind": "arxiv",
    "version": 2
  }
}