Pith Number

pith:K7VWVMC7

pith:2014:K7VWVMC72ZTO3OOEWXUU2BPKUY

not attested not anchored not stored refs pending

Monotonicity of ratios of q-Kummer confluent hypergeometric and q-hypergeometric functions and associated Tur\'an types inequalities

Khaled Mehrez, Sergei M. Sitnik

arxiv:1412.1634 v2 · 2014-12-04 · 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{K7VWVMC72ZTO3OOEWXUU2BPKUY}

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	2026-05-18T01:04:30.405217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57eb6ab05fd666edb9c4b5e94d05eaa61a915f8f29b1e33e517ae35cdb9048bd

Aliases

arxiv: 1412.1634 · arxiv_version: 1412.1634v2 · doi: 10.48550/arxiv.1412.1634 · pith_short_12: K7VWVMC72ZTO · pith_short_16: K7VWVMC72ZTO3OOE · pith_short_8: K7VWVMC7

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/K7VWVMC72ZTO3OOEWXUU2BPKUY \
  | 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: 57eb6ab05fd666edb9c4b5e94d05eaa61a915f8f29b1e33e517ae35cdb9048bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d35edc576d3c44dfce7c10ad1e30605e8e0da2c08ec173cef604360a6f34d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-04T11:55:18Z",
    "title_canon_sha256": "f03ba6c2e04b568eac31a91792afbf44e8f9d0731984ce912d801ebecdc49afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1634",
    "kind": "arxiv",
    "version": 2
  }
}