Pith Number

pith:QKPZ2IET

pith:2007:QKPZ2IETRNZH2WDMFN5LSCXIY3

not attested not anchored not stored refs pending

A Convex Stochastic Optimization Problem Arising from Portfolio Selection

Hanqing Jin, Xun Yu Zhou, Zuo Quan Xu

arxiv:0709.4467 v1 · 2007-09-27 · q-fin.PM · cs.NA · math.NA · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKPZ2IETRNZH2WDMFN5LSCXIY3}

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	2026-06-03T22:06:02.509934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829f9d20938b727d586c2b7ab90ae8c6f3a7919f8e7c56bf228ccab9005a0865

Aliases

arxiv: 0709.4467 · arxiv_version: 0709.4467v1 · doi: 10.48550/arxiv.0709.4467 · pith_short_12: QKPZ2IETRNZH · pith_short_16: QKPZ2IETRNZH2WDM · pith_short_8: QKPZ2IET

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/QKPZ2IETRNZH2WDMFN5LSCXIY3 \
  | 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: 829f9d20938b727d586c2b7ab90ae8c6f3a7919f8e7c56bf228ccab9005a0865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b49ae1974f929bf4b1b6b60f4250afc1ec412065d034cd3a78162e5b8eec7bd",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2007-09-27T18:21:07Z",
    "title_canon_sha256": "128f7b1865a5ce749558d03b954312a82ca13c2bff1f728af668ae69c9a51b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4467",
    "kind": "arxiv",
    "version": 1
  }
}