Pith Number

pith:6QI6YPX7

pith:2013:6QI6YPX7ZOD73U33MQMHUFFJLC

not attested not anchored not stored refs pending

Unified Framework of Mean-Field Formulations for Optimal Multi-period Mean-Variance Portfolio Selection

Duan Li, Xiangyu Cui, Xun Li

arxiv:1303.1064 v1 · 2013-03-05 · 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{6QI6YPX7ZOD73U33MQMHUFFJLC}

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	2026-05-18T03:31:45.646778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f411ec3effcb87fdd37b64187a14a95897fac4e3c3b4124372a2b5d5c1380c67

Aliases

arxiv: 1303.1064 · arxiv_version: 1303.1064v1 · doi: 10.48550/arxiv.1303.1064 · pith_short_12: 6QI6YPX7ZOD7 · pith_short_16: 6QI6YPX7ZOD73U33 · pith_short_8: 6QI6YPX7

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/6QI6YPX7ZOD73U33MQMHUFFJLC \
  | 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: f411ec3effcb87fdd37b64187a14a95897fac4e3c3b4124372a2b5d5c1380c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483a9be75335b79eb0f452c461557c1b288d5e6966ff43cb8d230e0bc73f6ded",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-03-05T15:25:09Z",
    "title_canon_sha256": "21834bfc3475a1c728708f04325d57c0da68256219027d5a0a9f24ec66f0d8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1064",
    "kind": "arxiv",
    "version": 1
  }
}