Pith Number

pith:EEUMLAPF

pith:2016:EEUMLAPFEZLD5XZGYXRUZW4G7I

not attested not anchored not stored refs pending

Multistage Portfolio Optimization: A Duality Result in Conic Market Models

Khoa Le, Robert Bassett

arxiv:1601.00712 v2 · 2016-01-05 · 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{EEUMLAPFEZLD5XZGYXRUZW4G7I}

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	2026-05-18T01:22:09.973552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2128c581e526563edf26c5e34cdb86fa267530f28d5dcacce79d3806e1867be3

Aliases

arxiv: 1601.00712 · arxiv_version: 1601.00712v2 · doi: 10.48550/arxiv.1601.00712 · pith_short_12: EEUMLAPFEZLD · pith_short_16: EEUMLAPFEZLD5XZG · pith_short_8: EEUMLAPF

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/EEUMLAPFEZLD5XZGYXRUZW4G7I \
  | 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: 2128c581e526563edf26c5e34cdb86fa267530f28d5dcacce79d3806e1867be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a90b8252021eb259b083e33192e265c53217d4586d8eabdeda1d9b482b0966",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-01-05T01:35:06Z",
    "title_canon_sha256": "e3777c5c369ec40e4febca3bef80da20d612f7b27c1c324b402873631084dbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00712",
    "kind": "arxiv",
    "version": 2
  }
}