pith. sign in
Pith Number

pith:HSFWOZJQ

pith:2011:HSFWOZJQ5GYGCTQPCGOKUU7IBF
not attested not anchored not stored refs pending

Black-Scholes model under subordination

Aleksander Stanislavsky

arxiv:1111.3263 v1 · 2011-11-14 · q-fin.PR · physics.data-an

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HSFWOZJQ5GYGCTQPCGOKUU7IBF}

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 2026-05-18T04:08:22.681451Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3c8b676530e9b0614e0f119caa53e8095c2a13d23320ef8a3cdd91aa4b8dd90d

Aliases

arxiv: 1111.3263 · arxiv_version: 1111.3263v1 · doi: 10.48550/arxiv.1111.3263 · pith_short_12: HSFWOZJQ5GYG · pith_short_16: HSFWOZJQ5GYGCTQP · pith_short_8: HSFWOZJQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HSFWOZJQ5GYGCTQPCGOKUU7IBF \
  | 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: 3c8b676530e9b0614e0f119caa53e8095c2a13d23320ef8a3cdd91aa4b8dd90d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4223eef8fcce9d2787117f6dac7509ff125fdab9b2ce2c3678870a44e8027e12",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2011-11-14T16:16:58Z",
    "title_canon_sha256": "89c7f6d4ed519d8cb5ff95d7610c2b358b99fd2df674a9aaaba4d3bdad636955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3263",
    "kind": "arxiv",
    "version": 1
  }
}