Pith Number

pith:KBA6T3PT

pith:2003:KBA6T3PTNPMUEKRHXBCBM7IN66

not attested not anchored not stored refs pending

Static Arbitrage Bounds on Basket Option Prices

Alexandre d'Aspremont, Laurent El Ghaoui

arxiv:math/0302243 v2 · 2003-02-19 · math.OC · math.PR · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBA6T3PTNPMUEKRHXBCBM7IN66}

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	2026-07-04T15:33:34.169345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5041e9edf36bd9422a27b844167d0df7b6f823f0906b177d54dd657ed1074d74

Aliases

arxiv: math/0302243 · arxiv_version: math/0302243v2 · doi: 10.48550/arxiv.math/0302243 · pith_short_12: KBA6T3PTNPMU · pith_short_16: KBA6T3PTNPMUEKRH · pith_short_8: KBA6T3PT

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/KBA6T3PTNPMUEKRHXBCBM7IN66 \
  | 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: 5041e9edf36bd9422a27b844167d0df7b6f823f0906b177d54dd657ed1074d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d81a117a6dc3db0727b253c58b99841f27df90939e8a3bf78e9ae9541a7bac5",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.ST"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2003-02-19T22:13:08Z",
    "title_canon_sha256": "7da7643cdaaa7d190b79383fb61128db793fa05cc76403026b9e79fc2dabb4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302243",
    "kind": "arxiv",
    "version": 2
  }
}