Pith Number

pith:OJ7X4PZE

pith:2017:OJ7X4PZEQWVC6J54MHY4RCI63W

not attested not anchored not stored refs pending

A series representation for the Black-Scholes formula

Jean-Philippe Aguilar

arxiv:1710.01141 v2 · 2017-10-03 · q-fin.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{OJ7X4PZEQWVC6J54MHY4RCI63W}

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	2026-05-18T00:31:39.638399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727f7e3f2485aa2f27bc61f1c8891edd82555b1916e45b5cb4f1bb561789b398

Aliases

arxiv: 1710.01141 · arxiv_version: 1710.01141v2 · doi: 10.48550/arxiv.1710.01141 · pith_short_12: OJ7X4PZEQWVC · pith_short_16: OJ7X4PZEQWVC6J54 · pith_short_8: OJ7X4PZE

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/OJ7X4PZEQWVC6J54MHY4RCI63W \
  | 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: 727f7e3f2485aa2f27bc61f1c8891edd82555b1916e45b5cb4f1bb561789b398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527bb6a7ed0bb6a448ce620159cb6d6f6af12f07cc137299fb46b28d408697be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2017-10-03T13:24:32Z",
    "title_canon_sha256": "af77b60b8337fb245376976a89680c7856de627ff86e33a81ffc1a5edee00ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01141",
    "kind": "arxiv",
    "version": 2
  }
}