Pith Number

pith:ODM3FKW2

pith:2004:ODM3FKW2V2F6SYZ7G3JUVFWDSC

not attested not anchored not stored refs pending

Static versus Dynamic Arbitrage Bounds on Multivariate Option Prices

Alexandre d'Aspremont

arxiv:cs/0407029 v1 · 2004-07-10 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODM3FKW2V2F6SYZ7G3JUVFWDSC}

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	2026-07-04T14:24:45.136696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d9b2aadaae8be9633f36d34a96c390a501a441d60cbc14d6a81f334e40c44c

Aliases

arxiv: cs/0407029 · arxiv_version: cs/0407029v1 · doi: 10.48550/arxiv.cs/0407029 · pith_short_12: ODM3FKW2V2F6 · pith_short_16: ODM3FKW2V2F6SYZ7 · pith_short_8: ODM3FKW2

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/ODM3FKW2V2F6SYZ7G3JUVFWDSC \
  | 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: 70d9b2aadaae8be9633f36d34a96c390a501a441d60cbc14d6a81f334e40c44c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a329bfa2fcc51085a8dcfc83bba2e0ae575b00ebdc3e2ee09bf99326e6f4e78b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CE",
    "submitted_at": "2004-07-10T16:17:26Z",
    "title_canon_sha256": "6507cd30e558a3446c8171453302bb954c3f042a3a31d256f22194d865bb947e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0407029",
    "kind": "arxiv",
    "version": 1
  }
}