Pith Number

pith:Z7MJ6CTM

pith:2010:Z7MJ6CTMYBW7P3WXD7XKBVFCWO

not attested not anchored not stored refs pending

Optimal Timing to Purchase Options

Michael Ludkovski, Tim Leung

arxiv:1008.3650 v3 · 2010-08-21 · 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{Z7MJ6CTMYBW7P3WXD7XKBVFCWO}

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	2026-05-18T04:11:17.995403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd89f0a6cc06df7eed71feea0d4a2b38e0cbba3cc4b7f7522c0e7f41b5ea5ee

Aliases

arxiv: 1008.3650 · arxiv_version: 1008.3650v3 · doi: 10.48550/arxiv.1008.3650 · pith_short_12: Z7MJ6CTMYBW7 · pith_short_16: Z7MJ6CTMYBW7P3WX · pith_short_8: Z7MJ6CTM

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/Z7MJ6CTMYBW7P3WXD7XKBVFCWO \
  | 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: cfd89f0a6cc06df7eed71feea0d4a2b38e0cbba3cc4b7f7522c0e7f41b5ea5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00914d21dd49980a860fa65822110ad1a1c6c03dee9ac7f8d1688fdc6d3a571f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-08-21T18:11:03Z",
    "title_canon_sha256": "d46b4c8d247dca06fac60ed660d6dab12f1813b26e8c83f4b80e7637cd841957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3650",
    "kind": "arxiv",
    "version": 3
  }
}