Pith Number

pith:VTVIDHTV

pith:2012:VTVIDHTVQSEXN6GTNSQ4F6KHXJ

not attested not anchored not stored refs pending

European Option Pricing with Liquidity Shocks

Michael Ludkovski, Qunying Shen

arxiv:1205.1007 v1 · 2012-05-04 · 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{VTVIDHTVQSEXN6GTNSQ4F6KHXJ}

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	2026-05-18T02:43:16.740963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acea819e75848976f8d36ca1c2f947ba4000e694e58cb272d98e7f85e0ccb360

Aliases

arxiv: 1205.1007 · arxiv_version: 1205.1007v1 · doi: 10.48550/arxiv.1205.1007 · pith_short_12: VTVIDHTVQSEX · pith_short_16: VTVIDHTVQSEXN6GT · pith_short_8: VTVIDHTV

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/VTVIDHTVQSEXN6GTNSQ4F6KHXJ \
  | 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: acea819e75848976f8d36ca1c2f947ba4000e694e58cb272d98e7f85e0ccb360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ca5e1d887e42fee083e77d2dd63dfb63df351ba8b3c3b233a5b5e500e25852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2012-05-04T16:59:50Z",
    "title_canon_sha256": "ba69b6c1f0b27c6a6c368b2685363da7f73e0232ca8ad2ee8eff66296b7e2a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1007",
    "kind": "arxiv",
    "version": 1
  }
}