Pith Number

pith:O7ZPU2IE

pith:2013:O7ZPU2IET3L6OVNSRC4WZIL4A6

not attested not anchored not stored refs pending

Probabilistic aspects of finance

Alexander Schied, Hans F\"ollmer

arxiv:1309.7759 v1 · 2013-09-30 · q-fin.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7ZPU2IET3L6OVNSRC4WZIL4A6}

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	2026-05-18T03:11:48.354898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f2fa69049ed7e755b288b96ca17c07a8cc045d25960c777faa8fbf9fde8358

Aliases

arxiv: 1309.7759 · arxiv_version: 1309.7759v1 · doi: 10.48550/arxiv.1309.7759 · pith_short_12: O7ZPU2IET3L6 · pith_short_16: O7ZPU2IET3L6OVNS · pith_short_8: O7ZPU2IE

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/O7ZPU2IET3L6OVNSRC4WZIL4A6 \
  | 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: 77f2fa69049ed7e755b288b96ca17c07a8cc045d25960c777faa8fbf9fde8358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4680bf262072848235303583fc549b0709630d5fd9e86b8ce37be6e5cf5dfdd7",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-09-30T08:56:48Z",
    "title_canon_sha256": "f99b17d82346272b8ee1d6a4c3f3e7f9b142804bcb6ef4d76be9b72635109a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7759",
    "kind": "arxiv",
    "version": 1
  }
}