Pith Number

pith:R3P54WAC

pith:2013:R3P54WACMGWZT4HKXYZS65DSU5

not attested not anchored not stored refs pending

The Use of Numeraires in Multi-dimensional Black-Scholes Partial Differential Equations

Hyong-Chol O, Ning Wan, Yong-hwa Ro

arxiv:1310.8296 v3 · 2013-10-30 · q-fin.PR · 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{R3P54WACMGWZT4HKXYZS65DSU5}

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	2026-05-18T02:47:15.921614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8edfde580261ad99f0eabe332f7472a76b19bdd7055967440ad01e010add0f31

Aliases

arxiv: 1310.8296 · arxiv_version: 1310.8296v3 · doi: 10.48550/arxiv.1310.8296 · pith_short_12: R3P54WACMGWZ · pith_short_16: R3P54WACMGWZT4HK · pith_short_8: R3P54WAC

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/R3P54WACMGWZT4HKXYZS65DSU5 \
  | 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: 8edfde580261ad99f0eabe332f7472a76b19bdd7055967440ad01e010add0f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c9f8abd67c339046dac1b715d17be3766fa066622162d759588b22c5363f41",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-10-30T16:09:59Z",
    "title_canon_sha256": "dc3449a41ade9c68623ab58a905bd95e23922bd89ae5086e5acb557246305086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8296",
    "kind": "arxiv",
    "version": 3
  }
}