Pith Number

pith:N6OHN5MH

pith:2015:N6OHN5MHJ72ACG4WGY4AUTCF3U

not attested not anchored not stored refs pending

Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses

Michael Ruzhansky, Rauan Akylzhanov

arxiv:1510.01251 v1 · 2015-10-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6OHN5MHJ72ACG4WGY4AUTCF3U}

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	2026-05-18T01:31:04.481638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9c76f5874ff4011b9636380a4c45dd34c49a6c0c7dae39e814120edc7867d6

Aliases

arxiv: 1510.01251 · arxiv_version: 1510.01251v1 · doi: 10.48550/arxiv.1510.01251 · pith_short_12: N6OHN5MHJ72A · pith_short_16: N6OHN5MHJ72ACG4W · pith_short_8: N6OHN5MH

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/N6OHN5MHJ72ACG4WGY4AUTCF3U \
  | 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: 6f9c76f5874ff4011b9636380a4c45dd34c49a6c0c7dae39e814120edc7867d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ce1f17ccd2d685f778bbd0ee137b7bb743911811e10b4fe10599b1492d5b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-05T17:29:51Z",
    "title_canon_sha256": "e7de71fbb935ad5447d9a641e073151099787203c08f140f54d2762994252d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01251",
    "kind": "arxiv",
    "version": 1
  }
}