Pith Number

pith:56JEWHNO

pith:2015:56JEWHNO3PO6E6IJDJLUQGQHDJ

not attested not anchored not stored refs pending

Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility

A. Paliathanasis, K. Krishnakumar, K.M. Tamizhmani, P.G.L. Leach

arxiv:1508.06797 v2 · 2015-08-27 · math.AP · 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{56JEWHNO3PO6E6IJDJLUQGQHDJ}

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	2026-05-18T01:15:52.573346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef924b1daedbdde279091a57481a071a408a7dada0cae005eade5ae5fe8086d2

Aliases

arxiv: 1508.06797 · arxiv_version: 1508.06797v2 · doi: 10.48550/arxiv.1508.06797 · pith_short_12: 56JEWHNO3PO6 · pith_short_16: 56JEWHNO3PO6E6IJ · pith_short_8: 56JEWHNO

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/56JEWHNO3PO6E6IJDJLUQGQHDJ \
  | 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: ef924b1daedbdde279091a57481a071a408a7dada0cae005eade5ae5fe8086d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b26889d0a2a333b272418662926190c61027488f48f5f9c2f8e38e322da117c",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-27T10:50:55Z",
    "title_canon_sha256": "1b2bb9730e80be47fb6f6674132ea446c98e942d40fe6d3746a933a2a4d034b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06797",
    "kind": "arxiv",
    "version": 2
  }
}