Pith Number

pith:RRTJI7TA

pith:2015:RRTJI7TAGVFAUK6PBSNGD4NS3J

not attested not anchored not stored refs pending

Some new refined Hardy type integral inequalities

Khaled Mehrez

arxiv:1512.00084 v1 · 2015-11-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRTJI7TAGVFAUK6PBSNGD4NS3J}

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	2026-05-18T01:25:32.798230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c66947e60354a0a2bcf0c9a61f1b2da5e3b585d2a6c43e093a960d58bca75a9

Aliases

arxiv: 1512.00084 · arxiv_version: 1512.00084v1 · doi: 10.48550/arxiv.1512.00084 · pith_short_12: RRTJI7TAGVFA · pith_short_16: RRTJI7TAGVFAUK6P · pith_short_8: RRTJI7TA

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/RRTJI7TAGVFAUK6PBSNGD4NS3J \
  | 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: 8c66947e60354a0a2bcf0c9a61f1b2da5e3b585d2a6c43e093a960d58bca75a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7633c21ab5644472e660b33650c68a310bfed505dca9c93984513a16183a91c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-30T23:08:33Z",
    "title_canon_sha256": "e0a7f5a4a0fe631d28278ffffda92bca06d3cceaa2fc5a9219296a6f8bd145df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00084",
    "kind": "arxiv",
    "version": 1
  }
}