Pith Number

pith:BRCDGD7N

pith:2010:BRCDGD7NR4XM5JELYNTEZ56WJX

not attested not anchored not stored refs pending

American Step-Up and Step-Down Default Swaps under Levy Models

Kazutoshi Yamazaki, Tim Siu-Tang Leung

arxiv:1012.3234 v4 · 2010-12-15 · q-fin.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRCDGD7NR4XM5JELYNTEZ56WJX}

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	2026-05-18T02:23:07.199699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c44330fed8f2ecea48bc3664cf7d64df28f2efd5053440b5072edfd32e4600e

Aliases

arxiv: 1012.3234 · arxiv_version: 1012.3234v4 · doi: 10.48550/arxiv.1012.3234 · pith_short_12: BRCDGD7NR4XM · pith_short_16: BRCDGD7NR4XM5JEL · pith_short_8: BRCDGD7N

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/BRCDGD7NR4XM5JELYNTEZ56WJX \
  | 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: 0c44330fed8f2ecea48bc3664cf7d64df28f2efd5053440b5072edfd32e4600e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c4e82837dee13894cfafa0d03517d95c9b9e845ab012d995080bb4b7be9f6f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-12-15T06:16:29Z",
    "title_canon_sha256": "0bd9066aa8faaf3e694dcd88e5281e02b5319a99d0ccf6109890158ad2b4cffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3234",
    "kind": "arxiv",
    "version": 4
  }
}