Pith Number

pith:FNPDKIJG

pith:2012:FNPDKIJGWGEZMAVM26EAQRTQZQ

not attested not anchored not stored refs pending

Densities of nested Archimedean copulas

David Pham, Marius Hofert

arxiv:1204.2410 v2 · 2012-04-11 · math.ST · stat.CO · stat.OT · 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{FNPDKIJGWGEZMAVM26EAQRTQZQ}

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	2026-05-18T03:42:11.555534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5e352126b1899602acd788084670cc25c6284a8a793959c4c64b9733b7f076

Aliases

arxiv: 1204.2410 · arxiv_version: 1204.2410v2 · doi: 10.48550/arxiv.1204.2410 · pith_short_12: FNPDKIJGWGEZ · pith_short_16: FNPDKIJGWGEZMAVM · pith_short_8: FNPDKIJG

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/FNPDKIJGWGEZMAVM26EAQRTQZQ \
  | 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: 2b5e352126b1899602acd788084670cc25c6284a8a793959c4c64b9733b7f076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6815f35adacc3bde9bb4026dcafc2a40bb81ee4a119d83318dbb17708f565e",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.OT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-11T10:54:22Z",
    "title_canon_sha256": "98237f0e72eebbede463d16ca27ebc7defa1b341bd0f42464d06c913dc7146cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2410",
    "kind": "arxiv",
    "version": 2
  }
}