Pith Number

pith:7WJ5Y2GU

pith:2011:7WJ5Y2GUQAMJB5IMZAXOWSXAO7

not attested not anchored not stored refs pending

Limit Theorems for quadratic forms of Markov Chains

Matias D. Cattaneo, Yves F. Atchade

arxiv:1108.2743 v1 · 2011-08-13 · 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{7WJ5Y2GUQAMJB5IMZAXOWSXAO7}

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	2026-05-18T04:15:35.677971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd93dc68d4801890f50cc82eeb4ae077e48b295ca6b7f7dda525d5fa1db4ffcb

Aliases

arxiv: 1108.2743 · arxiv_version: 1108.2743v1 · doi: 10.48550/arxiv.1108.2743 · pith_short_12: 7WJ5Y2GUQAMJ · pith_short_16: 7WJ5Y2GUQAMJB5IM · pith_short_8: 7WJ5Y2GU

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/7WJ5Y2GUQAMJB5IMZAXOWSXAO7 \
  | 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: fd93dc68d4801890f50cc82eeb4ae077e48b295ca6b7f7dda525d5fa1db4ffcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2aca33b13fa992c321b430252b62de6dbcd54b20b4b510e8818c901c08b776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T00:35:53Z",
    "title_canon_sha256": "8f196cc1192421dd0d9e2c15ac1117559255098390ed210f7cb6bc846ee37602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2743",
    "kind": "arxiv",
    "version": 1
  }
}