Pith Number

pith:B2VPCLW5

pith:2010:B2VPCLW56CEKVQTQU7EL2UFK3M

not attested not anchored not stored refs pending

The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions

Sergio Pulido

arxiv:1012.3102 v6 · 2010-12-14 · 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{B2VPCLW56CEKVQTQU7EL2UFK3M}

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	2026-05-18T03:02:18.290535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eaaf12eddf088aac270a7c8bd50aadb3840707f9c344f65e7e50aa2fd46d5ea

Aliases

arxiv: 1012.3102 · arxiv_version: 1012.3102v6 · doi: 10.48550/arxiv.1012.3102 · pith_short_12: B2VPCLW56CEK · pith_short_16: B2VPCLW56CEKVQTQ · pith_short_8: B2VPCLW5

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/B2VPCLW56CEKVQTQU7EL2UFK3M \
  | 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: 0eaaf12eddf088aac270a7c8bd50aadb3840707f9c344f65e7e50aa2fd46d5ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03edc552c5181af461140ee5de445e876206fed3f9e66d6a0fd1516bdcf8a21",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-12-14T17:38:43Z",
    "title_canon_sha256": "f55e51610c8de8e5b9246345612b9393c586e8ab0b18ff283ff4a81edde8b266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3102",
    "kind": "arxiv",
    "version": 6
  }
}