Pith Number

pith:2VHBRH5I

pith:2007:2VHBRH5IE743RZNGVDRBWFVJDM

not attested not anchored not stored refs pending

Multivariate normal approximation using exchangeable pairs

Elizabeth Meckes, Sourav Chatterjee

arxiv:math/0701464 v2 · 2007-01-16 · 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{2VHBRH5IE743RZNGVDRBWFVJDM}

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.

Cited by

1 paper in Pith

The discrepancy in min-max statistics between two random matrices with finite third moments

Receipt and verification

First computed	2026-07-04T17:28:50.763093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54e189fa827f9b8e5a6a8e21b16a91b355b1d651741ce703e9f74ac2fd4687b

Aliases

arxiv: math/0701464 · arxiv_version: math/0701464v2 · doi: 10.48550/arxiv.math/0701464 · pith_short_12: 2VHBRH5IE743 · pith_short_16: 2VHBRH5IE743RZNG · pith_short_8: 2VHBRH5I

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/2VHBRH5IE743RZNGVDRBWFVJDM \
  | 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: d54e189fa827f9b8e5a6a8e21b16a91b355b1d651741ce703e9f74ac2fd4687b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c815bd098183d45643aa1d05ebebca24cdb901750d0481e296a09ca87a57805",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-01-16T22:16:02Z",
    "title_canon_sha256": "44c0897a586b19fd2772ab1859a920a3dabd8fd348b200336a47739fdb94831b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701464",
    "kind": "arxiv",
    "version": 2
  }
}