Pith Number

pith:DIL42AMS

pith:2016:DIL42AMSAWJUW4GN2OHOSGXASW

not attested not anchored not stored refs pending

Some families of generalized Mathieu-type power series, associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity

Khaled Mehrez, Zivorad Tomovski

arxiv:1610.02562 v3 · 2016-10-08 · 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{DIL42AMSAWJUW4GN2OHOSGXASW}

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	2026-05-18T01:01:59.812815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a17cd019205934b70cdd38ee91ae0958f4cf53d650b22c422001e237632b83a

Aliases

arxiv: 1610.02562 · arxiv_version: 1610.02562v3 · doi: 10.48550/arxiv.1610.02562 · pith_short_12: DIL42AMSAWJU · pith_short_16: DIL42AMSAWJUW4GN · pith_short_8: DIL42AMS

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/DIL42AMSAWJUW4GN2OHOSGXASW \
  | 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: 1a17cd019205934b70cdd38ee91ae0958f4cf53d650b22c422001e237632b83a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a469694c62f52fde638d744c3e4bcca39a169f0b7689d4e98d09e7932bc8b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-08T18:03:51Z",
    "title_canon_sha256": "0030a2f49ba475f04eb54ae7a43f51d66b6a57b543aed8d66288ccfb06a38a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02562",
    "kind": "arxiv",
    "version": 3
  }
}