Pith Number

pith:5EN4OJCV

pith:2018:5EN4OJCV7FNKBWQTYITCBUJKVH

not attested not anchored not stored refs pending

On certain new means generated by generalized trigonometric functions

Barkat Ali Bhayo, J\'ozsef S\'andor

arxiv:1805.06762 v2 · 2018-05-11 · 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{5EN4OJCV7FNKBWQTYITCBUJKVH}

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	2026-05-17T23:57:31.936761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91bc72455f95aa0da13c22620d12aa9cc31c526290361b9ad1dc73caee60254

Aliases

arxiv: 1805.06762 · arxiv_version: 1805.06762v2 · doi: 10.48550/arxiv.1805.06762 · pith_short_12: 5EN4OJCV7FNK · pith_short_16: 5EN4OJCV7FNKBWQT · pith_short_8: 5EN4OJCV

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/5EN4OJCV7FNKBWQTYITCBUJKVH \
  | 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: e91bc72455f95aa0da13c22620d12aa9cc31c526290361b9ad1dc73caee60254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b91e2dcd631f20ce0f4973c57d67c1aec397f081dc1c214d91b4502f6f9e8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-11T12:09:50Z",
    "title_canon_sha256": "7e92ee36c75522a676bc822e782d681ced6a6317b508dbdfc943b8e5c5c1051d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06762",
    "kind": "arxiv",
    "version": 2
  }
}