Pith Number

pith:K7OUOBTB

pith:2015:K7OUOBTB3UKACHEX4H2M3VQHLL

not attested not anchored not stored refs pending

A nontrivial closed formula for the lower bounds for the constants of the real Hardy-Littlewood inequalities

Daniel Pellegrino

arxiv:1504.04207 v2 · 2015-04-16 · 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{K7OUOBTB3UKACHEX4H2M3VQHLL}

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	2026-05-18T02:17:32.901458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dd470661dd14011c97e1f4cdd6075adf9b6fda1f10b855a722a7a9f2b974c4

Aliases

arxiv: 1504.04207 · arxiv_version: 1504.04207v2 · doi: 10.48550/arxiv.1504.04207 · pith_short_12: K7OUOBTB3UKA · pith_short_16: K7OUOBTB3UKACHEX · pith_short_8: K7OUOBTB

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/K7OUOBTB3UKACHEX4H2M3VQHLL \
  | 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: 57dd470661dd14011c97e1f4cdd6075adf9b6fda1f10b855a722a7a9f2b974c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a0e8c5d9b1893d49c207e16b5689ee1d0708ba5e5144c9db883db4166df637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-16T12:36:58Z",
    "title_canon_sha256": "6acde12fd4ad08d69a2670e3e70354e61de5d1982cc7d742fb75fef5a226486a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04207",
    "kind": "arxiv",
    "version": 2
  }
}