Pith Number

pith:FHPCAH4P

pith:2021:FHPCAH4POJROJRUBJTRDFNFWI7

not attested not anchored not stored refs pending

Application of Neural Network Machine Learning to Solution of Black-Scholes Equation

Andrey V. Nikitin, Kirill V. Golubnichiy, Mikhail V. Klibanov

arxiv:2111.06642 v4 · 2021-11-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHPCAH4POJROJRUBJTRDFNFWI7}

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.

Cited by

1 paper in Pith

Forward-Time Black-Scholes Reconstruction via Regularized Legendre Reduction

Receipt and verification

First computed	2026-07-05T04:06:18.100208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29de201f8f7262e4c6814ce232b4b647ed6d47b0f1b5d277b7151701d53973f1

Aliases

arxiv: 2111.06642 · arxiv_version: 2111.06642v4 · doi: 10.48550/arxiv.2111.06642 · pith_short_12: FHPCAH4POJRO · pith_short_16: FHPCAH4POJROJRUB · pith_short_8: FHPCAH4P

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/FHPCAH4POJROJRUBJTRDFNFWI7 \
  | 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: 29de201f8f7262e4c6814ce232b4b647ed6d47b0f1b5d277b7151701d53973f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c7ac550dfd664c35454f8dd2ea01c06f369cf21eaf68842894d13ade45f193",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-12T10:22:50Z",
    "title_canon_sha256": "657c08640d122a13e4e0a6cf638dea0128276984ea9da7316ef82c43e94836e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06642",
    "kind": "arxiv",
    "version": 4
  }
}