Pith Number

pith:RPW3GXVO

pith:2007:RPW3GXVOVPN7HN6QLNBAXN2QCG

not attested not anchored not stored refs pending

Optimal quantization for the pricing of swing options

Gilles Pag\`es (PMA), Olivier Aj Bardou (GDF-RDD), Sandrine Bouthemy (GDF-RDD)

arxiv:0705.2110 v1 · 2007-05-15 · q-fin.PR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPW3GXVOVPN7HN6QLNBAXN2QCG}

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	2026-05-18T03:29:16.739911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bedb35eaeabdbf3b7d05b420bb75011be9fc399a9c67ff1274487dd59502afc

Aliases

arxiv: 0705.2110 · arxiv_version: 0705.2110v1 · doi: 10.48550/arxiv.0705.2110 · pith_short_12: RPW3GXVOVPN7 · pith_short_16: RPW3GXVOVPN7HN6Q · pith_short_8: RPW3GXVO

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/RPW3GXVOVPN7HN6QLNBAXN2QCG \
  | 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: 8bedb35eaeabdbf3b7d05b420bb75011be9fc399a9c67ff1274487dd59502afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44c9411086e65015a67fb6a2668e3ee5fd4e3af0a07dfe0e44c70fe8f5367f1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2007-05-15T10:13:34Z",
    "title_canon_sha256": "41ef7650313161ba286e517fdf43875a41dc941ea29afa54f60c1d3329c29169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2110",
    "kind": "arxiv",
    "version": 1
  }
}