Pith Number

pith:7EPMIQKZ

pith:2012:7EPMIQKZDRKN2JD2RQ4UPOE4UI

not attested not anchored not stored refs pending

Rates of convergence for multivariate normal approximation with applications to dense graphs and doubly indexed permutation statistics

Adrian R\"ollin, Xiao Fang

arxiv:1206.6586 v2 · 2012-06-28 · 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{7EPMIQKZDRKN2JD2RQ4UPOE4UI}

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	2026-05-18T01:09:28.507369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f91ec441591c54dd247a8c3947b89ca22f890be2870fb88c46580808646330e6

Aliases

arxiv: 1206.6586 · arxiv_version: 1206.6586v2 · doi: 10.48550/arxiv.1206.6586 · pith_short_12: 7EPMIQKZDRKN · pith_short_16: 7EPMIQKZDRKN2JD2 · pith_short_8: 7EPMIQKZ

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/7EPMIQKZDRKN2JD2RQ4UPOE4UI \
  | 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: f91ec441591c54dd247a8c3947b89ca22f890be2870fb88c46580808646330e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7737b94b123e436336733be2624406af18400834aedbd5096e6d6e76e6fc46a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-28T07:59:08Z",
    "title_canon_sha256": "9909a2d79e31f50741fb41727bfc00c6b877bca3280aaa96a192d99fdfff0958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6586",
    "kind": "arxiv",
    "version": 2
  }
}