Pith Number

pith:ZM7IPAE7

pith:2015:ZM7IPAE7WV54CXRXPU2PPHLXJ6

not attested not anchored not stored refs pending

Model-free Superhedging Duality

Marco Frittelli, Marco Maggis, Matteo Burzoni

arxiv:1506.06608 v3 · 2015-06-22 · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM7IPAE7WV54CXRXPU2PPHLXJ6}

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	2026-05-18T01:15:58.532818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3e87809fb57bc15e377d34f79d774f8dce250fbad645267f22319bb417e628

Aliases

arxiv: 1506.06608 · arxiv_version: 1506.06608v3 · doi: 10.48550/arxiv.1506.06608 · pith_short_12: ZM7IPAE7WV54 · pith_short_16: ZM7IPAE7WV54CXRX · pith_short_8: ZM7IPAE7

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/ZM7IPAE7WV54CXRXPU2PPHLXJ6 \
  | 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: cb3e87809fb57bc15e377d34f79d774f8dce250fbad645267f22319bb417e628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a730b5e1b6bc36838dee070f41a8e61bcf2ce13f0fb9ea01cbf69f4c2f064cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-06-22T13:59:40Z",
    "title_canon_sha256": "bfe89879192330e5f8f6fbbbc3a4dab80ccc6b3d261cee821d35d7a140e185cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06608",
    "kind": "arxiv",
    "version": 3
  }
}