Pith Number

pith:RGAR7PTU

pith:2015:RGAR7PTUKQ76H7GFH6T4LAHCPK

not attested not anchored not stored refs pending

Comparison of the analytical approximation formula and Newton's method for solving a class of nonlinear Black-Scholes parabolic equations

Choi-Hong Lai, Daniel Sevcovic, Karol Duris, Shih-Hau Tan

arxiv:1511.05661 v2 · 2015-11-18 · q-fin.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGAR7PTUKQ76H7GFH6T4LAHCPK}

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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	2026-05-18T01:26:09.164730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89811fbe74543fe3fcc53fa7c580e27ab7af2197f00d86235549f2f2ae7522dc

Aliases

arxiv: 1511.05661 · arxiv_version: 1511.05661v2 · doi: 10.48550/arxiv.1511.05661 · pith_short_12: RGAR7PTUKQ76 · pith_short_16: RGAR7PTUKQ76H7GF · pith_short_8: RGAR7PTU

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/RGAR7PTUKQ76H7GFH6T4LAHCPK \
  | 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: 89811fbe74543fe3fcc53fa7c580e27ab7af2197f00d86235549f2f2ae7522dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ad71d2d602c88af1db3eb4f70cd9f6ebee7dc74357bcbecd0c151475afa97a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2015-11-18T05:47:33Z",
    "title_canon_sha256": "b90115618fb9e496b2cecb41a97f69550f6a320e60ee8acc8345a7a8ba4a0c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05661",
    "kind": "arxiv",
    "version": 2
  }
}