Pith Number

pith:DARHUAFD

pith:2015:DARHUAFD654UBGWYEWAELQMYTV

not attested not anchored not stored refs pending

Large Covariance Estimation through Elliptical Factor Models

Han Liu, Jianqing Fan, Weichen Wang

arxiv:1507.08377 v1 · 2015-07-30 · 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{DARHUAFD654UBGWYEWAELQMYTV}

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	2026-05-18T01:36:06.644324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18227a00a3f779409ad8258045c1989d50c16761d2e8562526804a8f6bad3fd8

Aliases

arxiv: 1507.08377 · arxiv_version: 1507.08377v1 · doi: 10.48550/arxiv.1507.08377 · pith_short_12: DARHUAFD654U · pith_short_16: DARHUAFD654UBGWY · pith_short_8: DARHUAFD

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/DARHUAFD654UBGWYEWAELQMYTV \
  | 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: 18227a00a3f779409ad8258045c1989d50c16761d2e8562526804a8f6bad3fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcf71f50f1b9a30791573e0162c572f3ac365c7b69f6fb2cbe393d9056c36fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-07-30T05:02:46Z",
    "title_canon_sha256": "e9601eb0b1b06f8b78334f4637f233a5e088dbd6670848522b5e929b54c1229f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08377",
    "kind": "arxiv",
    "version": 1
  }
}