Pith Number

pith:WQHV4VTT

pith:2014:WQHV4VTTY5ZFXPAPS32IMCRX7I

not attested not anchored not stored refs pending

Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions

Khaled Mehrez, Sergei M. Sitnik

arxiv:1410.6120 v3 · 2014-10-22 · 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{WQHV4VTTY5ZFXPAPS32IMCRX7I}

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	2026-05-18T01:04:30.438736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b40f5e5673c7725bbc0f96f4860a37fa19e7af1409e8e998aae9014789facc41

Aliases

arxiv: 1410.6120 · arxiv_version: 1410.6120v3 · doi: 10.48550/arxiv.1410.6120 · pith_short_12: WQHV4VTTY5ZF · pith_short_16: WQHV4VTTY5ZFXPAP · pith_short_8: WQHV4VTT

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/WQHV4VTTY5ZFXPAPS32IMCRX7I \
  | 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: b40f5e5673c7725bbc0f96f4860a37fa19e7af1409e8e998aae9014789facc41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e965f18957e7a0ab97e98033a49d9a2b5a58907e560e2f7f906e401fd9981dec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-22T17:42:36Z",
    "title_canon_sha256": "b4c40d7e75792a7c545485feb633adc263d3b09b6d5668c3530e2ac40996fc80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6120",
    "kind": "arxiv",
    "version": 3
  }
}