Pith Number

pith:G5FJZ6PY

pith:2015:G5FJZ6PYDP2NIV3X37EXDEZAJ7

not attested not anchored not stored refs pending

Graph Estimation for Matrix-variate Gaussian Data

Weidong Liu, Xi Chen

arxiv:1509.05453 v2 · 2015-09-17 · stat.ME · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5FJZ6PYDP2NIV3X37EXDEZAJ7}

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	2026-05-18T00:36:19.813086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374a9cf9f81bf4d45777dfc97193204fd521e265b99644af7be9961c7966e67d

Aliases

arxiv: 1509.05453 · arxiv_version: 1509.05453v2 · doi: 10.48550/arxiv.1509.05453 · pith_short_12: G5FJZ6PYDP2N · pith_short_16: G5FJZ6PYDP2NIV3X · pith_short_8: G5FJZ6PY

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/G5FJZ6PYDP2NIV3X37EXDEZAJ7 \
  | 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: 374a9cf9f81bf4d45777dfc97193204fd521e265b99644af7be9961c7966e67d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4aa03641b1b44a15dc2e6d9a24406059ea3a265078b4c442bd60212678c96b6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-09-17T21:52:26Z",
    "title_canon_sha256": "1cfe071ded3fa1e28388b558a6160e027084e81e1f85eb32cb4a7d598ef99396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05453",
    "kind": "arxiv",
    "version": 2
  }
}