Pith Number

pith:OGXQ2KKF

pith:2025:OGXQ2KKFGIIDECYWZPLQWGGZGA

not attested not anchored not stored refs pending

Optimal Young's convolutions inequality and its reverse form on the hypercube

David Beltran, Jos\'e Madrid, Lekha Patil, Paata Ivanisvili

arxiv:2507.06115 v1 · 2025-07-08 · math.CA · 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{OGXQ2KKFGIIDECYWZPLQWGGZGA}

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.

Cited by

2 papers in Pith

A spectral correlation inequality for increasing Boolean functions

The sharp diagonal spectral correlation inequality on the discrete cube

Receipt and verification

First computed	2026-07-05T11:33:41.414252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71af0d29453210320b16cbd70b18d93020e31f78869c4a41f854e05922fefa80

Aliases

arxiv: 2507.06115 · arxiv_version: 2507.06115v1 · doi: 10.48550/arxiv.2507.06115 · pith_short_12: OGXQ2KKFGIID · pith_short_16: OGXQ2KKFGIIDECYW · pith_short_8: OGXQ2KKF

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/OGXQ2KKFGIIDECYWZPLQWGGZGA \
  | 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: 71af0d29453210320b16cbd70b18d93020e31f78869c4a41f854e05922fefa80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e8e5e2b1489e2dc2163e40cd46ee24756e50256b36a8d5c30b83f088be0abe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-08T15:58:18Z",
    "title_canon_sha256": "b9d50c858f52c947a725f96b893979113a409d1fe63ff60534aa59d768a8917b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06115",
    "kind": "arxiv",
    "version": 1
  }
}