Pith Number

pith:QVMJC4VL

pith:2013:QVMJC4VLBRDJKLGTQVID3M4UMR

not attested not anchored not stored refs pending

A model-free version of the fundamental theorem of asset pricing and the super-replication theorem

Beatrice Acciaio, Friedrich Penkner, Mathias Beiglb\"ock, Walter Schachermayer

arxiv:1301.5568 v2 · 2013-01-23 · math.PR · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVMJC4VLBRDJKLGTQVID3M4UMR}

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	2026-05-18T03:29:50.134439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85589172ab0c46952cd385503db394647ed503db365b8a92de9979f5fd9b81d3

Aliases

arxiv: 1301.5568 · arxiv_version: 1301.5568v2 · doi: 10.48550/arxiv.1301.5568 · pith_short_12: QVMJC4VLBRDJ · pith_short_16: QVMJC4VLBRDJKLGT · pith_short_8: QVMJC4VL

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/QVMJC4VLBRDJKLGTQVID3M4UMR \
  | 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: 85589172ab0c46952cd385503db394647ed503db365b8a92de9979f5fd9b81d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7042d288e3090e6625b71cc8fcf52ecb0ecd71e81af53fea169741a3055ab000",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-23T17:06:33Z",
    "title_canon_sha256": "ad63c71f4c1d40e5a6e6112cb0bdfb4f07d78770f4187f2ea9fff87072f49799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5568",
    "kind": "arxiv",
    "version": 2
  }
}