Pith Number

pith:TSZ7RMWM

pith:2017:TSZ7RMWMGUIVT2ZG2CH7M3ITXH

not attested not anchored not stored refs pending

Second-order expansions for maxima of dynamic bivariate normal copulas

Rui Wang, Xin Liao, Zuoxiang Peng

arxiv:1702.01234 v2 · 2017-02-04 · 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{TSZ7RMWMGUIVT2ZG2CH7M3ITXH}

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	2026-05-18T00:43:15.736799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb3f8b2cc351159eb26d08ff66d13b9ce1b5b8dcfb4cd12db6a19e54f59b0d8

Aliases

arxiv: 1702.01234 · arxiv_version: 1702.01234v2 · doi: 10.48550/arxiv.1702.01234 · pith_short_12: TSZ7RMWMGUIV · pith_short_16: TSZ7RMWMGUIVT2ZG · pith_short_8: TSZ7RMWM

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/TSZ7RMWMGUIVT2ZG2CH7M3ITXH \
  | 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: 9cb3f8b2cc351159eb26d08ff66d13b9ce1b5b8dcfb4cd12db6a19e54f59b0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d506cff4c3ad2326836ca0d0b3085f16f686b38e280aef36020d598c659ebe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-04T03:51:14Z",
    "title_canon_sha256": "90991e02456cd1978190ff0db63823add200eb1b3aaa4a0d92695d5549978367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01234",
    "kind": "arxiv",
    "version": 2
  }
}