Pith Number

pith:WZNIXUBH

pith:2013:WZNIXUBH7PQGDWUN5E34MDAXEL

not attested not anchored not stored refs pending

No-arbitrage conditions and absolutely continuous changes of measure

Claudio Fontana

arxiv:1312.4296 v2 · 2013-12-16 · 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{WZNIXUBH7PQGDWUN5E34MDAXEL}

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	2026-05-18T02:57:17.050922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65a8bd027fbe061da8de937c60c1722eb6c173151c67b257da94a1d4e234cd5

Aliases

arxiv: 1312.4296 · arxiv_version: 1312.4296v2 · doi: 10.48550/arxiv.1312.4296 · pith_short_12: WZNIXUBH7PQG · pith_short_16: WZNIXUBH7PQGDWUN · pith_short_8: WZNIXUBH

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/WZNIXUBH7PQGDWUN5E34MDAXEL \
  | 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: b65a8bd027fbe061da8de937c60c1722eb6c173151c67b257da94a1d4e234cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57be542f521581a27f4689bd3815fee7bdae32f7432f1fca9afd418092150ef",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-12-16T10:34:17Z",
    "title_canon_sha256": "6257c6371c57c0771a661c03a585efeb8a1fa07e1aa304db01eceba09a026d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4296",
    "kind": "arxiv",
    "version": 2
  }
}