Pith Number

pith:YRHHGL2H

pith:2011:YRHHGL2H32VNVL7PJ5XJKVRSXD

not attested not anchored not stored refs pending

Tur\'an type inequalities for Tricomi confluent hypergeometric functions

\'Arp\'ad Baricz, Mourad E.H. Ismail

arxiv:1110.4699 v2 · 2011-10-21 · math.CA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRHHGL2H32VNVL7PJ5XJKVRSXD}

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	2026-05-18T03:26:39.664350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44e732f47deaadaafef4f6e955632b8cf693b2b0171d26f5ba5cc350e086d50

Aliases

arxiv: 1110.4699 · arxiv_version: 1110.4699v2 · doi: 10.48550/arxiv.1110.4699 · pith_short_12: YRHHGL2H32VN · pith_short_16: YRHHGL2H32VNVL7P · pith_short_8: YRHHGL2H

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/YRHHGL2H32VNVL7PJ5XJKVRSXD \
  | 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: c44e732f47deaadaafef4f6e955632b8cf693b2b0171d26f5ba5cc350e086d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a70d7208a18412c6a08f887b1c057f90bca013615782b7804ac2575fdeaf7b4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-21T05:02:57Z",
    "title_canon_sha256": "d728f455b175d3519c36b5e6646b11093e1b1a492b2b23e766ac21af71d28584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4699",
    "kind": "arxiv",
    "version": 2
  }
}