Pith Number

pith:RHXPIIWZ

pith:2007:RHXPIIWZ4XL27VWAIMFXUPZZMP

not attested not anchored not stored refs pending

The t copula with Multiple Parameters of Degrees of Freedom: Bivariate Characteristics and Application to Risk Management

Pavel V. Shevchenko, Xiaolin Luo

arxiv:0710.3959 v3 · 2007-10-22 · math.PR · q-fin.CP · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHXPIIWZ4XL27VWAIMFXUPZZMP}

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	2026-05-18T04:36:41.862949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89eef422d9e5d7afd6c0430b7a3f3963c498e9de6a708fb576aeb16736642a15

Aliases

arxiv: 0710.3959 · arxiv_version: 0710.3959v3 · doi: 10.48550/arxiv.0710.3959 · pith_short_12: RHXPIIWZ4XL2 · pith_short_16: RHXPIIWZ4XL27VWA · pith_short_8: RHXPIIWZ

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/RHXPIIWZ4XL27VWAIMFXUPZZMP \
  | 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: 89eef422d9e5d7afd6c0430b7a3f3963c498e9de6a708fb576aeb16736642a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6893ae03ae90ae856652e6972fb9e3a11d9cdea60bda8e1d782b0e2cd6f890",
    "cross_cats_sorted": [
      "q-fin.CP",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-22T00:32:45Z",
    "title_canon_sha256": "7d9d5358fa28880edb1900397c092f06b5fb8c9aac0ae564af12e5cb1fc6c6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3959",
    "kind": "arxiv",
    "version": 3
  }
}