Pith Number

pith:NKPD4MMS

pith:2007:NKPD4MMSZFSHIWEAU3JQ7HQQFG

not attested not anchored not stored refs pending

Market completion using options

Jan Obloj, Mark Davis

arxiv:0710.2792 v4 · 2007-10-15 · q-fin.PR · math.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{NKPD4MMSZFSHIWEAU3JQ7HQQFG}

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.

Cited by

1 paper in Pith

On the Structural Foundations of Signature Volatility Models: Existence, Arbitrage, Completeness, and the Hedging-Error Decomposition

Receipt and verification

First computed	2026-07-04T15:32:49.514272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9e3e3192c964745880a6d30f9e10298f5ebdcf635439ad34c9d11aab083cfc

Aliases

arxiv: 0710.2792 · arxiv_version: 0710.2792v4 · doi: 10.48550/arxiv.0710.2792 · pith_short_12: NKPD4MMSZFSH · pith_short_16: NKPD4MMSZFSHIWEA · pith_short_8: NKPD4MMS

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/NKPD4MMSZFSHIWEAU3JQ7HQQFG \
  | 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: 6a9e3e3192c964745880a6d30f9e10298f5ebdcf635439ad34c9d11aab083cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11eee6aef03c9d5067501899914469247f0fe39e946d915f1471b2228f47ff5b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2007-10-15T12:53:16Z",
    "title_canon_sha256": "bb1f6c7074790a0bfaf0a942b1e07b3f7425ca011482dc3bd4f99a0a89b1178a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2792",
    "kind": "arxiv",
    "version": 4
  }
}