Pith Number

pith:KY5ZG5QF

pith:2013:KY5ZG5QFYRZXM37F6TFGDZCOS6

not attested not anchored not stored refs pending

Portfolio Optimization under Small Transaction Costs: a Convex Duality Approach

Jan Kallsen, Shen Li

arxiv:1309.3479 v1 · 2013-09-13 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KY5ZG5QFYRZXM37F6TFGDZCOS6}

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	2026-05-18T03:13:22.438689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563b937605c473766fe5f4ca61e44e97b9148708752159c1e373f64b7e8e15e0

Aliases

arxiv: 1309.3479 · arxiv_version: 1309.3479v1 · doi: 10.48550/arxiv.1309.3479 · pith_short_12: KY5ZG5QFYRZX · pith_short_16: KY5ZG5QFYRZXM37F · pith_short_8: KY5ZG5QF

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/KY5ZG5QFYRZXM37F6TFGDZCOS6 \
  | 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: 563b937605c473766fe5f4ca61e44e97b9148708752159c1e373f64b7e8e15e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212c16503bdbd819e7c29482eff3740086414b89f6296b7b9614a0542e6c779d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-09-13T15:00:13Z",
    "title_canon_sha256": "e4faf870e6bea07c2a392208eeae0e12c06675547c5b0bb59bc4b1a3ebc79544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3479",
    "kind": "arxiv",
    "version": 1
  }
}