Pith Number

pith:X2DWW7SE

pith:2017:X2DWW7SEPVECUJ3SJRLKPVD4AK

not attested not anchored not stored refs pending

Local dependencies in random fields via a Bonferroni-type inequality

Adam Jakubowski, Jan Rosi\'nski

arxiv:1709.01165 v1 · 2017-09-04 · 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{X2DWW7SEPVECUJ3SJRLKPVD4AK}

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	2026-05-18T00:36:00.750627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be876b7e447d482a27724c56a7d47c02a54b558fb3b66cdaba16ba83f1b8fe15

Aliases

arxiv: 1709.01165 · arxiv_version: 1709.01165v1 · doi: 10.48550/arxiv.1709.01165 · pith_short_12: X2DWW7SEPVEC · pith_short_16: X2DWW7SEPVECUJ3S · pith_short_8: X2DWW7SE

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/X2DWW7SEPVECUJ3SJRLKPVD4AK \
  | 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: be876b7e447d482a27724c56a7d47c02a54b558fb3b66cdaba16ba83f1b8fe15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842e7dcdd8f87d6272efd7a711f284e205b3366e2dbca2cd693a305a309546bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-04T21:23:05Z",
    "title_canon_sha256": "31ee16a870c92410d9930c65fe4d0dc4fdb8ae1f734a1f200db1752cfac76e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01165",
    "kind": "arxiv",
    "version": 1
  }
}