Pith Number

pith:5NGXVFLU

pith:2015:5NGXVFLUKCHLLZFEQYEQCVBMCN

not attested not anchored not stored refs pending

New trigonometric and hyperbolic inequalities

Barkat Ali Bhayo, J\'ozsef S\'andor, Riku Kl\'en

arxiv:1501.05070 v1 · 2015-01-21 · 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{5NGXVFLUKCHLLZFEQYEQCVBMCN}

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	2026-05-18T00:38:11.976635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4d7a9574508eb5e4a4860901542c13734e0e64c803b86cc0556ad661312711

Aliases

arxiv: 1501.05070 · arxiv_version: 1501.05070v1 · doi: 10.48550/arxiv.1501.05070 · pith_short_12: 5NGXVFLUKCHL · pith_short_16: 5NGXVFLUKCHLLZFE · pith_short_8: 5NGXVFLU

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/5NGXVFLUKCHLLZFEQYEQCVBMCN \
  | 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: eb4d7a9574508eb5e4a4860901542c13734e0e64c803b86cc0556ad661312711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be49a8418a56f4359d818954a2f1dddda34a41f781b692ef7763d85506a0a574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-21T06:33:31Z",
    "title_canon_sha256": "6a7054d8105cb899f943d5bef36cdf2d0d933500031bb9b6850405e4a6c6113a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05070",
    "kind": "arxiv",
    "version": 1
  }
}