Pith Number

pith:BYB3CRIT

pith:2021:BYB3CRITNAW5XTAZLIKC3XAI3F

not attested not anchored not stored refs pending

The cross-sectional distribution of portfolio returns and applications

Apostolos Chalkis, Ioannis Z. Emiris, Ludovic Cal\`es

arxiv:2105.06573 v1 · 2021-05-13 · cs.CE · econ.TH · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYB3CRITNAW5XTAZLIKC3XAI3F}

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	2026-07-05T02:40:11.821631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e03b14513682ddbcc195a142ddc08d946c665a5f1eae61dbb6f1830178b4d69

Aliases

arxiv: 2105.06573 · arxiv_version: 2105.06573v1 · doi: 10.48550/arxiv.2105.06573 · pith_short_12: BYB3CRITNAW5 · pith_short_16: BYB3CRITNAW5XTAZ · pith_short_8: BYB3CRIT

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/BYB3CRITNAW5XTAZLIKC3XAI3F \
  | 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: 0e03b14513682ddbcc195a142ddc08d946c665a5f1eae61dbb6f1830178b4d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d04c38e43c1f20c2bd80751e98ff2d58b5108298d80256b8c48cce86f21971",
    "cross_cats_sorted": [
      "econ.TH",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2021-05-13T22:29:12Z",
    "title_canon_sha256": "0c4655803e1f9f822c1464799bd8d5d8d93f56e4daae22140b96c739a9f02681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.06573",
    "kind": "arxiv",
    "version": 1
  }
}