Pith Number

pith:FFIKCNPJ

pith:2018:FFIKCNPJ3AZFYBCU5IXVPH2DBJ

not attested not anchored not stored refs pending

Challenges in approximating the Black and Scholes call formula with hyperbolic tangents

Giovanni Taglialatela, Giuseppe Orlando, Michele Mininni

arxiv:1810.04623 v1 · 2018-09-20 · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFIKCNPJ3AZFYBCU5IXVPH2DBJ}

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	2026-05-18T00:03:39.580467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2950a135e9d8325c0454ea2f579f430a5929a88effdbf50a310baeef4b6b5c2c

Aliases

arxiv: 1810.04623 · arxiv_version: 1810.04623v1 · doi: 10.48550/arxiv.1810.04623 · pith_short_12: FFIKCNPJ3AZF · pith_short_16: FFIKCNPJ3AZFYBCU · pith_short_8: FFIKCNPJ

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/FFIKCNPJ3AZFYBCU5IXVPH2DBJ \
  | 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: 2950a135e9d8325c0454ea2f579f430a5929a88effdbf50a310baeef4b6b5c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8e22a87908cbc72b409917a77dfb8ed585913fb4706a94f791737eaac25515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2018-09-20T11:11:18Z",
    "title_canon_sha256": "462a1de5173169ab4097c79524ca0a7cdc727d6e906d3a88295755df7bcbe2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04623",
    "kind": "arxiv",
    "version": 1
  }
}