Pith Number

pith:YJHF5QAJ

pith:2015:YJHF5QAJGMJMHRUPRDUEZNANGJ

not attested not anchored not stored refs pending

A Class of logarithmically completely monotonic functions relating the $q$-gamma function and applications

Khaled Mehrez

arxiv:1512.08548 v1 · 2015-12-28 · 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{YJHF5QAJGMJMHRUPRDUEZNANGJ}

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	2026-05-18T01:11:17.837021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24e5ec0093312c3c68f88e84cb40d325acf6544ad0dc0db97f20f69bebed094

Aliases

arxiv: 1512.08548 · arxiv_version: 1512.08548v1 · doi: 10.48550/arxiv.1512.08548 · pith_short_12: YJHF5QAJGMJM · pith_short_16: YJHF5QAJGMJMHRUP · pith_short_8: YJHF5QAJ

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/YJHF5QAJGMJMHRUPRDUEZNANGJ \
  | 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: c24e5ec0093312c3c68f88e84cb40d325acf6544ad0dc0db97f20f69bebed094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044ce3026bdf4b119c47efd9e814adc8b3a50af6c9b875da09df6249ba7f6f35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-28T22:36:46Z",
    "title_canon_sha256": "8331fc10aede2fa1fcc21f006d35814c439336b1d544ad48c8bdbd1a250499d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08548",
    "kind": "arxiv",
    "version": 1
  }
}