Pith Number

pith:CW4P4YB4

pith:2020:CW4P4YB4NY2MVJRG6MGLJMR3A5

not attested not anchored not stored refs pending

A class of copulae associated with Brownian motion processes and their maxima

Marie-Claude Vachon, Matthieu Dufour, Michel Ad\`es, Serge B. Provost

arxiv:2004.10243 v1 · 2020-04-21 · math.ST · 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{CW4P4YB4NY2MVJRG6MGLJMR3A5}

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	2026-07-05T00:57:27.012262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b8fe603c6e34caa626f30cb4b23b0770b5d5386fa90cc3730c6267c0993273

Aliases

arxiv: 2004.10243 · arxiv_version: 2004.10243v1 · doi: 10.48550/arxiv.2004.10243 · pith_short_12: CW4P4YB4NY2M · pith_short_16: CW4P4YB4NY2MVJRG · pith_short_8: CW4P4YB4

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/CW4P4YB4NY2MVJRG6MGLJMR3A5 \
  | 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: 15b8fe603c6e34caa626f30cb4b23b0770b5d5386fa90cc3730c6267c0993273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6cb41ca8890558d1d63bda529a4468d0c2859767f2383ee72fa03b5a2d3007f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-04-21T19:12:21Z",
    "title_canon_sha256": "8c5a2ae526d9e3fab09a3b1a6fe299f2cdece35a53de469d91cc001bc8879c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10243",
    "kind": "arxiv",
    "version": 1
  }
}