Pith Number

pith:YA3DXFIW

pith:2018:YA3DXFIWVDC2AG55VI6CRYMAQF

not attested not anchored not stored refs pending

Equilibrium Solutions of Multi-Period Mean-Variance Portfolio Selection

Ji-Feng Zhang, Miroslav Krstic, Xun Li, Yuan-Hua Ni

arxiv:1803.08500 v1 · 2018-03-22 · 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{YA3DXFIWVDC2AG55VI6CRYMAQF}

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	2026-05-18T00:20:21.473777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0363b9516a8c5a01bbdaa3c28e18081733b4b14dc0362460768fea0ea97b294

Aliases

arxiv: 1803.08500 · arxiv_version: 1803.08500v1 · doi: 10.48550/arxiv.1803.08500 · pith_short_12: YA3DXFIWVDC2 · pith_short_16: YA3DXFIWVDC2AG55 · pith_short_8: YA3DXFIW

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/YA3DXFIWVDC2AG55VI6CRYMAQF \
  | 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: c0363b9516a8c5a01bbdaa3c28e18081733b4b14dc0362460768fea0ea97b294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d04506d394c10d7547907160d6d3665a417abf21e8d00b72f9160017287587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-22T07:30:32Z",
    "title_canon_sha256": "310681e3f4d4d6554fe483ecf21291531199be163ecf7072d6cdf2b31341a24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08500",
    "kind": "arxiv",
    "version": 1
  }
}