Pith Number

pith:AWXJP623

pith:2014:AWXJP623T5WHVW5NKLEMHKMHPV

not attested not anchored not stored refs pending

Some completely monotonic properties for the $(p,q )$-gamma function

Faton Merovci, Valmir Krasniqi

arxiv:1407.4231 v1 · 2014-07-16 · 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{AWXJP623T5WHVW5NKLEMHKMHPV}

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	2026-05-18T02:47:30.840830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ae97fb5b9f6c7adbad52c8c3a9877d7f52f6fa46ce9bd919601476aabf5bdb

Aliases

arxiv: 1407.4231 · arxiv_version: 1407.4231v1 · doi: 10.48550/arxiv.1407.4231 · pith_short_12: AWXJP623T5WH · pith_short_16: AWXJP623T5WHVW5N · pith_short_8: AWXJP623

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/AWXJP623T5WHVW5NKLEMHKMHPV \
  | 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: 05ae97fb5b9f6c7adbad52c8c3a9877d7f52f6fa46ce9bd919601476aabf5bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1456b3f3e1e829ebda4317a14f8af5b8d569b9222173c6fd94ab9a1f3b9c0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-16T08:49:16Z",
    "title_canon_sha256": "645c5a311ae75bad0f4cd7c4e582067d741046421b6b9dc98dabed94ca227116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4231",
    "kind": "arxiv",
    "version": 1
  }
}