Pith Number

pith:7LZ5OQCV

pith:2015:7LZ5OQCVM6J26GMAO2VCX5LI3S

not attested not anchored not stored refs pending

Robust Inference of Risks of Large Portfolios

Byron Vickers, Fang Han, Han Liu, Jianqing Fan

arxiv:1501.02382 v1 · 2015-01-10 · math.ST · q-fin.PM · 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{7LZ5OQCVM6J26GMAO2VCX5LI3S}

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	2026-05-18T02:29:38.100575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf3d740556793af198076aa2bf568dcb80b6aa16ac2c955f17d9bdf6bd691a4

Aliases

arxiv: 1501.02382 · arxiv_version: 1501.02382v1 · doi: 10.48550/arxiv.1501.02382 · pith_short_12: 7LZ5OQCVM6J2 · pith_short_16: 7LZ5OQCVM6J26GMA · pith_short_8: 7LZ5OQCV

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/7LZ5OQCVM6J26GMAO2VCX5LI3S \
  | 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: faf3d740556793af198076aa2bf568dcb80b6aa16ac2c955f17d9bdf6bd691a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6cc7551b05cd2f5bc1bf7016f25ccb6f71a7e01efcc88c9aa6976eb55e5762",
    "cross_cats_sorted": [
      "q-fin.PM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-10T18:49:32Z",
    "title_canon_sha256": "ec64d644ccab16b41bdb33f254d3a8381960db1c6f443eefbc4eac90b98956c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02382",
    "kind": "arxiv",
    "version": 1
  }
}