Pith Number

pith:SXKEC7H3

pith:2007:SXKEC7H3TEYJ7RWAAQSCCD7ZTJ

not attested not anchored not stored refs pending

Pricing Options in Incomplete Equity Markets via the Instantaneous Sharpe Ratio

Erhan Bayraktar, Virginia R. Young

arxiv:math/0701650 v2 · 2007-01-23 · math.OC · 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{SXKEC7H3TEYJ7RWAAQSCCD7ZTJ}

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	2026-07-04T15:33:03.282895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d4417cfb99309fc6c00424210ff99a52264c7b667050607bffe0077280d4b4

Aliases

arxiv: math/0701650 · arxiv_version: math/0701650v2 · doi: 10.48550/arxiv.math/0701650 · pith_short_12: SXKEC7H3TEYJ · pith_short_16: SXKEC7H3TEYJ7RWA · pith_short_8: SXKEC7H3

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/SXKEC7H3TEYJ7RWAAQSCCD7ZTJ \
  | 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: 95d4417cfb99309fc6c00424210ff99a52264c7b667050607bffe0077280d4b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72fb0651dd0afa5df5f3cf04f6f87cb7d44c7b675ef8b62ae561b609e174b74c",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-01-23T18:13:54Z",
    "title_canon_sha256": "4c85aaaa8f95aef16e9ec27daf61ed31ea4f13f6ca3c7c5ddb46543b9e05158b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701650",
    "kind": "arxiv",
    "version": 2
  }
}