Pith Number

pith:TD7FUDGL

pith:2014:TD7FUDGL2HDWKWXYPDRQMO245Y

not attested not anchored not stored refs pending

Littlewood--Paley--Rubio de Francia inequality for the Walsh system

Nikolay N. Osipov

arxiv:1412.2266 v1 · 2014-12-06 · math.CA · math.FA · 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{TD7FUDGL2HDWKWXYPDRQMO245Y}

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	2026-05-18T02:31:58.457765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fe5a0ccbd1c7655af878e3063b5cee28255bdd738359ff250fc60c315d969d

Aliases

arxiv: 1412.2266 · arxiv_version: 1412.2266v1 · doi: 10.48550/arxiv.1412.2266 · pith_short_12: TD7FUDGL2HDW · pith_short_16: TD7FUDGL2HDWKWXY · pith_short_8: TD7FUDGL

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/TD7FUDGL2HDWKWXYPDRQMO245Y \
  | 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: 98fe5a0ccbd1c7655af878e3063b5cee28255bdd738359ff250fc60c315d969d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09305b76ab807ee72969f1f586f4153900bcfae61b862e8e3ba0235e8714b285",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-06T19:21:33Z",
    "title_canon_sha256": "83364491181088ad95c6ebe3e56bd3a8a09a8d62ca820f8cf3065c0690ed3e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2266",
    "kind": "arxiv",
    "version": 1
  }
}