Pith Number

pith:P776OWNQ

pith:2011:P776OWNQS5NCDR7IZABR4QHFMW

not attested not anchored not stored refs pending

Computation of copulas by Fourier methods

Antonis Papapantoleon

arxiv:1108.1216 v2 · 2011-08-04 · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P776OWNQS5NCDR7IZABR4QHFMW}

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	2026-05-18T02:49:18.743778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fffe759b0975a21c7e8c8031e40e565baf4c8560eaecd668988f3a9f3df9339

Aliases

arxiv: 1108.1216 · arxiv_version: 1108.1216v2 · doi: 10.48550/arxiv.1108.1216 · pith_short_12: P776OWNQS5NC · pith_short_16: P776OWNQS5NCDR7I · pith_short_8: P776OWNQ

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/P776OWNQS5NCDR7IZABR4QHFMW \
  | 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: 7fffe759b0975a21c7e8c8031e40e565baf4c8560eaecd668988f3a9f3df9339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb165a78e5196249544c910f231d9ca4bb6afc63db78da4b343608f90931fc3",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-04T20:49:12Z",
    "title_canon_sha256": "5a8c4e2e625d8433cd7e3327fdf04bcb876b99963fc9708cbee074348516283e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1216",
    "kind": "arxiv",
    "version": 2
  }
}