Pith Number

pith:KM7AT5KS

pith:2013:KM7AT5KSFSOIORDAPJ3IPXDN2I

not attested not anchored not stored refs pending

An Iterated Az\'{e}ma-Yor Type Embedding for Finitely Many Marginals

Jan Ob{\l}\'oj, Peter Spoida

arxiv:1304.0368 v2 · 2013-04-01 · math.PR · q-fin.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{KM7AT5KSFSOIORDAPJ3IPXDN2I}

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	2026-05-18T03:03:21.060701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533e09f5522c9c8744607a7687dc6dd2198e872805708a609f51057c69f496a5

Aliases

arxiv: 1304.0368 · arxiv_version: 1304.0368v2 · doi: 10.48550/arxiv.1304.0368 · pith_short_12: KM7AT5KSFSOI · pith_short_16: KM7AT5KSFSOIORDA · pith_short_8: KM7AT5KS

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/KM7AT5KSFSOIORDAPJ3IPXDN2I \
  | 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: 533e09f5522c9c8744607a7687dc6dd2198e872805708a609f51057c69f496a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c565ed423e44fb0be71657298e31238265c7966b55e568090367c28fd488b61",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-01T14:44:38Z",
    "title_canon_sha256": "79cc6b245540f3aed64d4cc843abd57640b2a6a467a0a702afd522ba9c48b7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0368",
    "kind": "arxiv",
    "version": 2
  }
}