Pith Number

pith:OEF4DIAR

pith:2014:OEF4DIAR3JX6YFH2XWJYBXOHJF

not attested not anchored not stored refs pending

Two versions of the fundamental theorem of asset pricing

Luca Pratelli, Patrizia Berti, Pietro Rigo

arxiv:1402.3570 v1 · 2014-02-14 · 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{OEF4DIAR3JX6YFH2XWJYBXOHJF}

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	2026-05-18T02:58:58.427786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

710bc1a011da6fec14fabd9380ddc7494c1c3702100ed8d62501c70a76e649f0

Aliases

arxiv: 1402.3570 · arxiv_version: 1402.3570v1 · doi: 10.48550/arxiv.1402.3570 · pith_short_12: OEF4DIAR3JX6 · pith_short_16: OEF4DIAR3JX6YFH2 · pith_short_8: OEF4DIAR

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/OEF4DIAR3JX6YFH2XWJYBXOHJF \
  | 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: 710bc1a011da6fec14fabd9380ddc7494c1c3702100ed8d62501c70a76e649f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac21554becdbf01fed83bbd7bc5519b87ab895d160bd0dcae1bfdceed0a970bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-14T20:18:37Z",
    "title_canon_sha256": "985938c0797d4a46932b541166922b002700d288485109db41027f305cbff3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3570",
    "kind": "arxiv",
    "version": 1
  }
}