Pith Number

pith:4T5EVDF7

pith:2013:4T5EVDF7DVXXZM7IPGKGCEMO42

not attested not anchored not stored refs pending

Option pricing with linear market impact and non-linear Black and Scholes equations

Gregoire Loeper

arxiv:1301.6252 v3 · 2013-01-26 · 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{4T5EVDF7DVXXZM7IPGKGCEMO42}

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	2026-05-18T01:09:12.744536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fa4a8cbf1d6f7cb3e8799461118ee6b46b8503030010569fb537c5834989df

Aliases

arxiv: 1301.6252 · arxiv_version: 1301.6252v3 · doi: 10.48550/arxiv.1301.6252 · pith_short_12: 4T5EVDF7DVXX · pith_short_16: 4T5EVDF7DVXXZM7I · pith_short_8: 4T5EVDF7

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/4T5EVDF7DVXXZM7IPGKGCEMO42 \
  | 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: e4fa4a8cbf1d6f7cb3e8799461118ee6b46b8503030010569fb537c5834989df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a37bb63166bdf174cf2768d83a404b5277b5bbed7a92ac4ceb58e35620584d1d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-01-26T13:29:43Z",
    "title_canon_sha256": "e5a980441534090ec6d300df759fb26ed1d7fed4a93ef7647e3616c868f11a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6252",
    "kind": "arxiv",
    "version": 3
  }
}