pith. sign in
Pith Number

pith:BRSJQR55

pith:2013:BRSJQR55FJTBJ4QZ2JOPV2ASEA
not attested not anchored not stored refs pending

Some new iterated hardy-type inequalities: The case $\theta = 1$

Amiran Gogatishvili, Lars-Erik Persson, Rza Chingiz Mustafayev

arxiv:1302.3436 v1 · 2013-02-14 · math.CA · math.AP · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BRSJQR55FJTBJ4QZ2JOPV2ASEA}

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 2026-05-18T03:33:38.915829Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0c649847bd2a6614f219d25cfae8122005d02d8db7c15f9726f9bdb72a5fb862

Aliases

arxiv: 1302.3436 · arxiv_version: 1302.3436v1 · doi: 10.48550/arxiv.1302.3436 · pith_short_12: BRSJQR55FJTB · pith_short_16: BRSJQR55FJTBJ4QZ · pith_short_8: BRSJQR55
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BRSJQR55FJTBJ4QZ2JOPV2ASEA \
  | 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: 0c649847bd2a6614f219d25cfae8122005d02d8db7c15f9726f9bdb72a5fb862
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8f9429b7a97a5bc5befc97f9bcf2abd5be09697543251078adcd62b950d9b1f0",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-14T15:40:22Z",
    "title_canon_sha256": "d91a0cf012c5bfbf1a152dd76be186d0104e5e347bf5cd9b2c7f255569d549d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3436",
    "kind": "arxiv",
    "version": 1
  }
}