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Pith Number

pith:EK3D3JBL

pith:2015:EK3D3JBLT6RWSRWJ4AO6VA56EX
not attested not anchored not stored refs pending

Functional van den Berg-Kesten-Reimer Inequalities and their Duals, with Applications

Larry Goldstein, Yosef Rinott

arxiv:1508.07267 v2 · 2015-08-28 · math.PR · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EK3D3JBLT6RWSRWJ4AO6VA56EX}

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 2026-05-18T01:33:15.153779Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

22b63da42b9fa36946c9e01dea83be25dc4dc585c5c725c2cd6a703d2f5a31ea

Aliases

arxiv: 1508.07267 · arxiv_version: 1508.07267v2 · doi: 10.48550/arxiv.1508.07267 · pith_short_12: EK3D3JBLT6RW · pith_short_16: EK3D3JBLT6RWSRWJ · pith_short_8: EK3D3JBL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EK3D3JBLT6RWSRWJ4AO6VA56EX \
  | 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: 22b63da42b9fa36946c9e01dea83be25dc4dc585c5c725c2cd6a703d2f5a31ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5d3591984a5550cfedbdc40b2a3490b767ab194eb43eae19b1261a675452260f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T16:30:08Z",
    "title_canon_sha256": "5700dc0440f97bf0b7c4cc82e5f51fc91af27ec0ce7c23c5f5ed9f2c9f003a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07267",
    "kind": "arxiv",
    "version": 2
  }
}