Pith Number

pith:XP6AWR7P

pith:2016:XP6AWR7PNNPPZ7MOL5GKKOGK7Z

not attested not anchored not stored refs pending

Scaling limits of discrete copulas are bridged Brownian sheets

Carlos Tomei, Juliana Freire, Nicolau C. Saldanha

arxiv:1601.03321 v1 · 2016-01-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XP6AWR7PNNPPZ7MOL5GKKOGK7Z}

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	2026-05-18T01:22:54.820378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbfc0b47ef6b5efcfd8e5f4ca538cafe708aeffc7f5be1ff9439ea8515889d94

Aliases

arxiv: 1601.03321 · arxiv_version: 1601.03321v1 · doi: 10.48550/arxiv.1601.03321 · pith_short_12: XP6AWR7PNNPP · pith_short_16: XP6AWR7PNNPPZ7MO · pith_short_8: XP6AWR7P

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/XP6AWR7PNNPPZ7MOL5GKKOGK7Z \
  | 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: bbfc0b47ef6b5efcfd8e5f4ca538cafe708aeffc7f5be1ff9439ea8515889d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc8ea8dcdd7c02d85836db220200cc8bcc2fe7b1532af0a227566bcc3b8c253",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-13T17:26:53Z",
    "title_canon_sha256": "643a9bc3a9091afafeb0863c740d009df69c304e5ad0c5c3aa657297c01930be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03321",
    "kind": "arxiv",
    "version": 1
  }
}