Pith Number

pith:SUBU4KZB

pith:2003:SUBU4KZB6AZ5BJFDILUZD3ER3P

not attested not anchored not stored refs pending

A Harmonic Analysis Solution to the Static Basket Arbitrage Problem

Alexandre d'Aspremont

arxiv:math/0309048 v1 · 2003-09-02 · 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{SUBU4KZB6AZ5BJFDILUZD3ER3P}

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	2026-07-04T14:37:41.500403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95034e2b21f033d0a4a342e991ec91dbfe22ac717d9e30d8ad4f303f3ad970da

Aliases

arxiv: math/0309048 · arxiv_version: math/0309048v1 · doi: 10.48550/arxiv.math/0309048 · pith_short_12: SUBU4KZB6AZ5 · pith_short_16: SUBU4KZB6AZ5BJFD · pith_short_8: SUBU4KZB

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/SUBU4KZB6AZ5BJFDILUZD3ER3P \
  | 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: 95034e2b21f033d0a4a342e991ec91dbfe22ac717d9e30d8ad4f303f3ad970da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7249d447c5e94cc0696090cfe792dbbe3ca0b120014f6019db5ef5711ebc8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2003-09-02T17:03:46Z",
    "title_canon_sha256": "f052af937781c0e3804689bb52d64691b569bd327abeafcae5439c34cf92c73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309048",
    "kind": "arxiv",
    "version": 1
  }
}