Pith Number

pith:VGZCC6D2

pith:2015:VGZCC6D2ACHOKKYVNGTLJER5CE

not attested not anchored not stored refs pending

Logarithmically completely monotontic functions related the $q-$gamma and the $q-$digamma functions with applications

Khaled Mehrez

arxiv:1511.07156 v2 · 2015-11-23 · 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{VGZCC6D2ACHOKKYVNGTLJER5CE}

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	2026-05-18T01:24:06.340597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b221787a008ee52b1569a6b4923d111cadad5deb76b06d76ee37d909c7c0a3

Aliases

arxiv: 1511.07156 · arxiv_version: 1511.07156v2 · doi: 10.48550/arxiv.1511.07156 · pith_short_12: VGZCC6D2ACHO · pith_short_16: VGZCC6D2ACHOKKYV · pith_short_8: VGZCC6D2

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/VGZCC6D2ACHOKKYVNGTLJER5CE \
  | 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: a9b221787a008ee52b1569a6b4923d111cadad5deb76b06d76ee37d909c7c0a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bf2172d8efbc2c805ceb6d340cc2c9bdf1073aa6f10abd2aced09d68567e40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-23T09:47:34Z",
    "title_canon_sha256": "9adde0eb347644499db20f603ada093acbd15f39a161bb801bce6f03fedf84c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07156",
    "kind": "arxiv",
    "version": 2
  }
}