Pith Number

pith:6UKPYKDV

pith:2015:6UKPYKDVR7CJDGPOYAY32CQ3MV

not attested not anchored not stored refs pending

A Robust Statistics Approach to Minimum Variance Portfolio Optimization

Liusha Yang, Matthew R. McKay, Romain Couillet

arxiv:1503.08013 v1 · 2015-03-27 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UKPYKDVR7CJDGPOYAY32CQ3MV}

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	2026-05-18T01:22:40.773364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f514fc28758fc49199eec031bd0a1b6573de4eeb46b094482677778046fdcbf4

Aliases

arxiv: 1503.08013 · arxiv_version: 1503.08013v1 · doi: 10.48550/arxiv.1503.08013 · pith_short_12: 6UKPYKDVR7CJ · pith_short_16: 6UKPYKDVR7CJDGPO · pith_short_8: 6UKPYKDV

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/6UKPYKDVR7CJDGPOYAY32CQ3MV \
  | 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: f514fc28758fc49199eec031bd0a1b6573de4eeb46b094482677778046fdcbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6ee913e77653ec0fe4400058c5d5691a14ec4ddcae1b2964864011fc46bffc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2015-03-27T10:40:02Z",
    "title_canon_sha256": "ead0c8b83597dc907e1d9a2acc90db083ca949b612ac4ebc8afc8dd98358b6d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08013",
    "kind": "arxiv",
    "version": 1
  }
}