Pith Number

pith:X5M3QU2U

pith:2013:X5M3QU2UDSIE6BJQ6CHFOTRJ7G

not attested not anchored not stored refs pending

Arbitrage and duality in nondominated discrete-time models

Bruno Bouchard, Marcel Nutz

arxiv:1305.6008 v3 · 2013-05-26 · q-fin.GN · math.OC · 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{X5M3QU2UDSIE6BJQ6CHFOTRJ7G}

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	2026-05-18T02:23:35.513169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf59b853541c904f0530f08e574e29f9ba2d4a3b79e2e7ce7d9268ec138f3dff

Aliases

arxiv: 1305.6008 · arxiv_version: 1305.6008v3 · doi: 10.48550/arxiv.1305.6008 · pith_short_12: X5M3QU2UDSIE · pith_short_16: X5M3QU2UDSIE6BJQ · pith_short_8: X5M3QU2U

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/X5M3QU2UDSIE6BJQ6CHFOTRJ7G \
  | 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: bf59b853541c904f0530f08e574e29f9ba2d4a3b79e2e7ce7d9268ec138f3dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac501ed41b345398fcdb28e83c4207e3669140367a768b667527adfdfa94edb7",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2013-05-26T09:33:51Z",
    "title_canon_sha256": "40f5d2c258fa17a09ebbd97d17e859bae6f72c83a52fb085d24177778c716c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6008",
    "kind": "arxiv",
    "version": 3
  }
}