Pith Number

pith:3E6VDUQI

pith:2013:3E6VDUQIO6EIQBTEC2E5S3CSFF

not attested not anchored not stored refs pending

Convexity properties of generalized trigonometric and hyperbolic functions

\'Arp\'ad Baricz, Barkat Ali Bhayo, Riku Kl\'en

arxiv:1301.0699 v2 · 2013-01-04 · 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{3E6VDUQIO6EIQBTEC2E5S3CSFF}

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	2026-05-18T01:13:31.334544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93d51d20877888806641689d96c52295ebf33233b597c36cf244d69c1a88c31

Aliases

arxiv: 1301.0699 · arxiv_version: 1301.0699v2 · doi: 10.48550/arxiv.1301.0699 · pith_short_12: 3E6VDUQIO6EI · pith_short_16: 3E6VDUQIO6EIQBTE · pith_short_8: 3E6VDUQI

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/3E6VDUQIO6EIQBTEC2E5S3CSFF \
  | 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: d93d51d20877888806641689d96c52295ebf33233b597c36cf244d69c1a88c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe18e812ce40e65fc310e0e8310601170fa093d4ccbdfc1c1f7ab9f4c032890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-04T10:33:42Z",
    "title_canon_sha256": "37a3515be14a5ab3af37631b054ca286e1fb8212f1799a0bc78c0311f2011665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0699",
    "kind": "arxiv",
    "version": 2
  }
}