Pith Number

pith:KCPK6G2C

pith:2010:KCPK6G2C3EG3ECE63YZTZ5V7F3

not attested not anchored not stored refs pending

A unified approach to determining the early exercise boundary position at expiry for American style of general class of derivatives

Tomas Bokes

arxiv:1012.0348 v2 · 2010-12-01 · 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{KCPK6G2C3EG3ECE63YZTZ5V7F3}

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	2026-05-18T04:26:01.342724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509eaf1b42d90db2089ede333cf6bf2ee1f49e3b523eaecd6d1b173394fbd61d

Aliases

arxiv: 1012.0348 · arxiv_version: 1012.0348v2 · doi: 10.48550/arxiv.1012.0348 · pith_short_12: KCPK6G2C3EG3 · pith_short_16: KCPK6G2C3EG3ECE6 · pith_short_8: KCPK6G2C

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/KCPK6G2C3EG3ECE63YZTZ5V7F3 \
  | 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: 509eaf1b42d90db2089ede333cf6bf2ee1f49e3b523eaecd6d1b173394fbd61d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d7d611b9ab82cdd0f066ecaf5044d5cf5e0a6d040bd0e6e2244309800ba6c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-12-01T23:14:30Z",
    "title_canon_sha256": "824ec2f6506a2c2d68a2ae4a8f728f1b4f885bb5a316b0863cd4e15534308506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0348",
    "kind": "arxiv",
    "version": 2
  }
}