Pith Number

pith:IIGBX5D7

pith:2019:IIGBX5D7NXYRJJP5EOTUJRPY56

not attested not anchored not stored refs pending

Functional treatment of asymmetric copulas

Ahmed Sani, Loubna Karbil

arxiv:1907.05915 v1 · 2019-07-12 · math.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{IIGBX5D7NXYRJJP5EOTUJRPY56}

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	2026-05-17T23:40:43.019805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

420c1bf47f6df114a5fd23a744c5f8ef9f34e142e65d3581214dd3f902b2f00c

Aliases

arxiv: 1907.05915 · arxiv_version: 1907.05915v1 · doi: 10.48550/arxiv.1907.05915 · pith_short_12: IIGBX5D7NXYR · pith_short_16: IIGBX5D7NXYRJJP5 · pith_short_8: IIGBX5D7

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/IIGBX5D7NXYRJJP5EOTUJRPY56 \
  | 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: 420c1bf47f6df114a5fd23a744c5f8ef9f34e142e65d3581214dd3f902b2f00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4229069a9bc758d19dedb5b7283ebd5bd5700e0bf11b1153bb7e7130cc41d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-12T18:38:04Z",
    "title_canon_sha256": "c3ab437f4f7b17efbac473a90c472732d433affc3603a64890a60a4c0dbc1583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05915",
    "kind": "arxiv",
    "version": 1
  }
}