Pith Number

pith:NRAOSEYO

pith:2012:NRAOSEYOITOIAVPOXDQ3TKYCZ3

not attested not anchored not stored refs pending

Perturbative Expansion of FBSDE in an Incomplete Market with Stochastic Volatility

Akihiko Takahashi, Masaaki Fujii

arxiv:1202.0608 v3 · 2012-02-03 · q-fin.CP · 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{NRAOSEYOITOIAVPOXDQ3TKYCZ3}

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	2026-05-18T03:46:15.159374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c40e9130e44dc8055eeb8e1b9ab02cec208b581906a48b6f6ce9888490cf124

Aliases

arxiv: 1202.0608 · arxiv_version: 1202.0608v3 · doi: 10.48550/arxiv.1202.0608 · pith_short_12: NRAOSEYOITOI · pith_short_16: NRAOSEYOITOIAVPO · pith_short_8: NRAOSEYO

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/NRAOSEYOITOIAVPOXDQ3TKYCZ3 \
  | 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: 6c40e9130e44dc8055eeb8e1b9ab02cec208b581906a48b6f6ce9888490cf124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ef3926a9c19647660a916506b95ed792a8a87d396d0918214dab36edfe3791",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2012-02-03T05:31:52Z",
    "title_canon_sha256": "acef1d6322f93dfe3536c3490e7f2e31a94bd4dfcd6cf8775532808343b91496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0608",
    "kind": "arxiv",
    "version": 3
  }
}