Pith Number

pith:XRQSADI5

pith:2015:XRQSADI5BKVLK6EV6ZOC6N342R

not attested not anchored not stored refs pending

Sparse Mean-Variance Portfolios: A Penalized Utility Approach

Carlos M. Carvalho, David Puelz, P. Richard Hahn

arxiv:1512.02310 v4 · 2015-12-08 · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRQSADI5BKVLK6EV6ZOC6N342R}

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	2026-05-18T01:03:20.064140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc61200d1d0aaab57895f65c2f377cd47e53fdcd2d066ec4bf46ab42a51f9a3b

Aliases

arxiv: 1512.02310 · arxiv_version: 1512.02310v4 · doi: 10.48550/arxiv.1512.02310 · pith_short_12: XRQSADI5BKVL · pith_short_16: XRQSADI5BKVLK6EV · pith_short_8: XRQSADI5

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/XRQSADI5BKVLK6EV6ZOC6N342R \
  | 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: bc61200d1d0aaab57895f65c2f377cd47e53fdcd2d066ec4bf46ab42a51f9a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee903f7a663346061a8836c9082b299964e7b7dc09e25894c09acacb4e9a6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2015-12-08T03:22:39Z",
    "title_canon_sha256": "b4f5885f4d7bdadb3a86b36879223f82cac342f3d670a3d313ea8baaa454712e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02310",
    "kind": "arxiv",
    "version": 4
  }
}