Pith Number

pith:GWDDQMUW

pith:2017:GWDDQMUWG5ZXLZA5Q7U7LXP2AU

not attested not anchored not stored refs pending

Finite-sample bounds for the multivariate Behrens-Fisher distribution with proportional covariances

Lingsong Zhang, Yixuan Qiu

arxiv:1712.10099 v1 · 2017-12-29 · 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{GWDDQMUWG5ZXLZA5Q7U7LXP2AU}

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	2026-05-18T00:27:03.950411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3586383296377375e41d87e9f5ddfa052be1de2f1e24466f90ae6255cd8bcc1a

Aliases

arxiv: 1712.10099 · arxiv_version: 1712.10099v1 · doi: 10.48550/arxiv.1712.10099 · pith_short_12: GWDDQMUWG5ZX · pith_short_16: GWDDQMUWG5ZXLZA5 · pith_short_8: GWDDQMUW

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/GWDDQMUWG5ZXLZA5Q7U7LXP2AU \
  | 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: 3586383296377375e41d87e9f5ddfa052be1de2f1e24466f90ae6255cd8bcc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06e126453d969d3193fd4684ec6fd87a76f6a4f05004748d2450b70f235db00",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-12-29T02:34:45Z",
    "title_canon_sha256": "2ea20cfc2c5b824bbd639376f044ee53025700681503552d1f8d0ff6a2b56d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10099",
    "kind": "arxiv",
    "version": 1
  }
}