Pith Number

pith:KNEKFAFF

pith:2017:KNEKFAFFSNXNS7QYSWRRXET7II

not attested not anchored not stored refs pending

Inequalities of extended (p,q)-beta and confluent hypergeometric function

G. Rahman, K.S. Nisar, M. Arshad, S. Mubeen

arxiv:1703.08852 v2 · 2017-03-26 · 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{KNEKFAFFSNXNS7QYSWRRXET7II}

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	2026-05-18T00:22:39.988720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5348a280a5936ed97e1895a31b927f422130e9996a9ec1bdb3dc8c94b24d4387

Aliases

arxiv: 1703.08852 · arxiv_version: 1703.08852v2 · doi: 10.48550/arxiv.1703.08852 · pith_short_12: KNEKFAFFSNXN · pith_short_16: KNEKFAFFSNXNS7QY · pith_short_8: KNEKFAFF

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/KNEKFAFFSNXNS7QYSWRRXET7II \
  | 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: 5348a280a5936ed97e1895a31b927f422130e9996a9ec1bdb3dc8c94b24d4387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95efeac711f4ff37c43d6ddf353177768459a3b6e7e5eefe810f8f7e4d3b77a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-26T17:12:09Z",
    "title_canon_sha256": "0fd5a8aa3e7c883f00916cf678375a5edbf78644ae34717eaed46ee18737b7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08852",
    "kind": "arxiv",
    "version": 2
  }
}