Pith Number

pith:OB4HR2CJ

pith:2015:OB4HR2CJI7TL52HSX72YUU4UPS

not attested not anchored not stored refs pending

Tur\'an Type Inequalities for Dunkl Kernel and $q$-Dunkl Kernel

Jamel El Kamel, Khaled Mehrez, Mariem Ben Said

arxiv:1503.04285 v1 · 2015-03-14 · 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{OB4HR2CJI7TL52HSX72YUU4UPS}

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	2026-05-18T02:23:25.561562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707878e84947e6bee8f2bff58a53947c9267f741fbdb1e6ca4d7ed8bd20a4c8b

Aliases

arxiv: 1503.04285 · arxiv_version: 1503.04285v1 · doi: 10.48550/arxiv.1503.04285 · pith_short_12: OB4HR2CJI7TL · pith_short_16: OB4HR2CJI7TL52HS · pith_short_8: OB4HR2CJ

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/OB4HR2CJI7TL52HSX72YUU4UPS \
  | 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: 707878e84947e6bee8f2bff58a53947c9267f741fbdb1e6ca4d7ed8bd20a4c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b64f2e6444502dbfe10311dfeffd89d57d6df3e081666d87b63c8743a058481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-14T10:03:47Z",
    "title_canon_sha256": "0e16edcd608906d541f3e7d7e47e1751adca21f3e492b71761900de72627b6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04285",
    "kind": "arxiv",
    "version": 1
  }
}