Pith Number

pith:OMSX2S4N

pith:2011:OMSX2S4N7RQIQ2UBNWJCFZ3UDA

not attested not anchored not stored refs pending

On the behavior of the covariance matrices in a multivariate central limit theorem under some mixing conditions

Richard C. Bradley

arxiv:1105.4132 v1 · 2011-05-20 · 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{OMSX2S4N7RQIQ2UBNWJCFZ3UDA}

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	2026-05-18T04:21:42.877872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73257d4b8dfc60886a816d9222e7741822c945b83b47239cb70bc1092028fa0d

Aliases

arxiv: 1105.4132 · arxiv_version: 1105.4132v1 · doi: 10.48550/arxiv.1105.4132 · pith_short_12: OMSX2S4N7RQI · pith_short_16: OMSX2S4N7RQIQ2UB · pith_short_8: OMSX2S4N

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/OMSX2S4N7RQIQ2UBNWJCFZ3UDA \
  | 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: 73257d4b8dfc60886a816d9222e7741822c945b83b47239cb70bc1092028fa0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab631e2d08c7e9102685d74b2c0bd20505c1c3bf20d3fc527d52644ae6a3bb42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-20T17:10:36Z",
    "title_canon_sha256": "747b1a8dae4c99c0ea6cb8801f6f7523b0a7e34a41cf33697b50f89a211155ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4132",
    "kind": "arxiv",
    "version": 1
  }
}