Pith Number

pith:62OGOSUR

pith:2015:62OGOSURJK4YAQGMAJQCB5EG2F

not attested not anchored not stored refs pending

New Analytical Solutions of a Modified Black-Scholes Equation with the European Put Option

Juan Ospina

arxiv:1508.03841 v1 · 2015-08-16 · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62OGOSURJK4YAQGMAJQCB5EG2F}

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	2026-05-18T01:35:15.099515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69c674a914ab98040cc026020f486d143cf885337caaa7e8fdd32d996e22cc3

Aliases

arxiv: 1508.03841 · arxiv_version: 1508.03841v1 · doi: 10.48550/arxiv.1508.03841 · pith_short_12: 62OGOSURJK4Y · pith_short_16: 62OGOSURJK4YAQGM · pith_short_8: 62OGOSUR

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/62OGOSURJK4YAQGMAJQCB5EG2F \
  | 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: f69c674a914ab98040cc026020f486d143cf885337caaa7e8fdd32d996e22cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0daa4619d4c506824b8a50e208e6bad4638fc5e621d6f7c788417dea85409a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2015-08-16T15:59:53Z",
    "title_canon_sha256": "072c92a07677f28cc2f622f6059320f74d278c01ddcbe76261aa10016c538741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03841",
    "kind": "arxiv",
    "version": 1
  }
}