Pith Number

pith:ONUVU2V7

pith:2013:ONUVU2V7HTL5N7YS2RSUEII6XL

not attested not anchored not stored refs pending

Portfolio Choice with Stochastic Investment Opportunities: a User's Guide

Johannes Muhle-Karbe, Ren Liu

arxiv:1311.1715 v1 · 2013-11-07 · q-fin.PM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONUVU2V7HTL5N7YS2RSUEII6XL}

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	2026-05-18T03:07:43.529677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73695a6abf3cd7d6ff12d46542211ebaf6092425049092ec309efef53778a3a9

Aliases

arxiv: 1311.1715 · arxiv_version: 1311.1715v1 · doi: 10.48550/arxiv.1311.1715 · pith_short_12: ONUVU2V7HTL5 · pith_short_16: ONUVU2V7HTL5N7YS · pith_short_8: ONUVU2V7

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/ONUVU2V7HTL5N7YS2RSUEII6XL \
  | 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: 73695a6abf3cd7d6ff12d46542211ebaf6092425049092ec309efef53778a3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f3e7d8345bfc069c1c221f1098d6f7ce2ba75a311aca15d4e1257a0b030aa9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-11-07T15:38:49Z",
    "title_canon_sha256": "680a9768f5e7bdc223d8fc79409391fe355ad9b0837eb045de2fcbdb7cc320dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1715",
    "kind": "arxiv",
    "version": 1
  }
}