Pith Number

pith:4NMLRM2Y

pith:2013:4NMLRM2Y4G2AV7U4CPUZB2WHVG

not attested not anchored not stored refs pending

Risk- and ambiguity-averse portfolio optimization with quasiconcave utility functionals

Sigrid K\"allblad

arxiv:1311.7419 v1 · 2013-11-28 · 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{4NMLRM2Y4G2AV7U4CPUZB2WHVG}

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	2026-05-18T03:05:56.326465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e358b8b358e1b40afe9c13e990eac7a9bd4f6d8ae44c4908d7ed89885b9c4004

Aliases

arxiv: 1311.7419 · arxiv_version: 1311.7419v1 · doi: 10.48550/arxiv.1311.7419 · pith_short_12: 4NMLRM2Y4G2A · pith_short_16: 4NMLRM2Y4G2AV7U4 · pith_short_8: 4NMLRM2Y

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/4NMLRM2Y4G2AV7U4CPUZB2WHVG \
  | 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: e358b8b358e1b40afe9c13e990eac7a9bd4f6d8ae44c4908d7ed89885b9c4004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c327096d658e10b99e63d141e1ab47fadf6a581d5979f5591f3d4448ff0a728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-11-28T20:49:17Z",
    "title_canon_sha256": "025c2a7621234b407824b79d1ecdfd54ace85d95532a817ccb0da746c7a2f7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7419",
    "kind": "arxiv",
    "version": 1
  }
}