Pith Number

pith:ZT5MK4W2

pith:2025:ZT5MK4W2OEUU4PJJZDSIE3XWM5

not attested not anchored not stored refs pending

Inequalities in Fourier analysis on binary cubes

Shobu Shiraki, Ton\'ci Crmari\'c, Vjekoslav Kova\v{c}

arxiv:2507.01359 v1 · 2025-07-02 · math.CA · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT5MK4W2OEUU4PJJZDSIE3XWM5}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:30:47.391022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfac572da71294e3d29c8e4826ef6677559f4581a02b9cef4766c27f12af4f5

Aliases

arxiv: 2507.01359 · arxiv_version: 2507.01359v1 · doi: 10.48550/arxiv.2507.01359 · pith_short_12: ZT5MK4W2OEUU · pith_short_16: ZT5MK4W2OEUU4PJJ · pith_short_8: ZT5MK4W2

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/ZT5MK4W2OEUU4PJJZDSIE3XWM5 \
  | 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: ccfac572da71294e3d29c8e4826ef6677559f4581a02b9cef4766c27f12af4f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ec7dc2ae31176935075f2715dd8b5c68fb46641976066d4fafaeef8aad95aa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-02T04:50:11Z",
    "title_canon_sha256": "4cf473dad16c771033e1f100104ac5b6ea18a3e6c7fc47910a071f02372ddaec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01359",
    "kind": "arxiv",
    "version": 1
  }
}