Pith Number

pith:4BH6MD4H

pith:2014:4BH6MD4H33TINZOITJV2JDWY6K

not attested not anchored not stored refs pending

On classical inequalities of trigonometric and hyperbolic functions

Barkat Ali Bhayo, Jozsef Sandor

arxiv:1405.0934 v1 · 2014-05-05 · 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{4BH6MD4H33TINZOITJV2JDWY6K}

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	2026-05-18T02:52:40.403345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04fe60f87dee686e5c89a6ba48ed8f283fe23e1c7e24bc786e685d9d5242c31

Aliases

arxiv: 1405.0934 · arxiv_version: 1405.0934v1 · doi: 10.48550/arxiv.1405.0934 · pith_short_12: 4BH6MD4H33TI · pith_short_16: 4BH6MD4H33TINZOI · pith_short_8: 4BH6MD4H

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/4BH6MD4H33TINZOITJV2JDWY6K \
  | 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: e04fe60f87dee686e5c89a6ba48ed8f283fe23e1c7e24bc786e685d9d5242c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c2154148244b62fc725570dcede2a4c5166c34734391b6def05bf0d5bb7e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-05T15:40:49Z",
    "title_canon_sha256": "8ed13c6885fbe72364d2687bc5473b830a3436b55e9ce3eb9e23ec6244ee74e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0934",
    "kind": "arxiv",
    "version": 1
  }
}