Pith Number

pith:YCXPEQ3E

pith:2018:YCXPEQ3EMDZVWRJJBIW5JALH5L

not attested not anchored not stored refs pending

Geometry of Discrete Copulas

Caroline Uhler, Elisa Perrone, Liam Solus

arxiv:1802.06969 v2 · 2018-02-20 · 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{YCXPEQ3EMDZVWRJJBIW5JALH5L}

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	2026-05-18T00:14:40.297035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0aef2436460f35b45290a2dd48167ead325e38deb39e06e60f15da502373a5b

Aliases

arxiv: 1802.06969 · arxiv_version: 1802.06969v2 · doi: 10.48550/arxiv.1802.06969 · pith_short_12: YCXPEQ3EMDZV · pith_short_16: YCXPEQ3EMDZVWRJJ · pith_short_8: YCXPEQ3E

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/YCXPEQ3EMDZVWRJJBIW5JALH5L \
  | 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: c0aef2436460f35b45290a2dd48167ead325e38deb39e06e60f15da502373a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e8f7097f3b2382a897b4838351a1349d79a2147c50566c85890cfa57eb4d27",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-02-20T04:58:21Z",
    "title_canon_sha256": "d2a6d081366f14a96cf86fc8b760984399c5c7bed269ded343af74a0d5ef8305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06969",
    "kind": "arxiv",
    "version": 2
  }
}