Pith Number

pith:D7KJDKCG

pith:2017:D7KJDKCG6N2MXJPSXHOVAMOIUL

not attested not anchored not stored refs pending

Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities

Branko Malesevic, Cristinel Mortici, Marija Rasajski, Tatjana Lutovac

arxiv:1712.06792 v2 · 2017-12-19 · 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{D7KJDKCG6N2MXJPSXHOVAMOIUL}

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	2026-07-05T00:11:29.781258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd491a846f374cba5f2b9dd5031c8a2e97a6a060e3b55e6f79d51fefa305789

Aliases

arxiv: 1712.06792 · arxiv_version: 1712.06792v2 · doi: 10.48550/arxiv.1712.06792 · pith_short_12: D7KJDKCG6N2M · pith_short_16: D7KJDKCG6N2MXJPS · pith_short_8: D7KJDKCG

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/D7KJDKCG6N2MXJPSXHOVAMOIUL \
  | 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: 1fd491a846f374cba5f2b9dd5031c8a2e97a6a060e3b55e6f79d51fefa305789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b79ea8f3fd200882378d9e0a19eacc19c2baef5b062110371586577df37e4e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-19T05:58:52Z",
    "title_canon_sha256": "9693bf3d88c2df6a10f24fc8b5b3c878e69c3499ed02e31221cd6eafba5cb4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06792",
    "kind": "arxiv",
    "version": 2
  }
}