Pith Number

pith:QE3TAV64

pith:2015:QE3TAV64E2TPNR7TLUR3JKJGG7

not attested not anchored not stored refs pending

Asymptotics and statistical inferences on independent and non-identically distributed bivariate Gaussian triangular arrays

Xin Liao, Zuoxiang Peng

arxiv:1505.03431 v3 · 2015-05-13 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE3TAV64E2TPNR7TLUR3JKJGG7}

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	2026-05-18T01:16:21.764004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81373057dc26a6f6c7f35d23b4a92637cdb3be2dd440583d531ca89e3beccfbf

Aliases

arxiv: 1505.03431 · arxiv_version: 1505.03431v3 · doi: 10.48550/arxiv.1505.03431 · pith_short_12: QE3TAV64E2TP · pith_short_16: QE3TAV64E2TPNR7T · pith_short_8: QE3TAV64

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/QE3TAV64E2TPNR7TLUR3JKJGG7 \
  | 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: 81373057dc26a6f6c7f35d23b4a92637cdb3be2dd440583d531ca89e3beccfbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e456dc9a4092c545609f0ec438cf5419d45749d143c4714f344d203cc9ac22c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-05-13T15:40:22Z",
    "title_canon_sha256": "b5c78841a183ede0707f3353ba54b77bde7ce9570be58fab6b51f76ece80013a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03431",
    "kind": "arxiv",
    "version": 3
  }
}