Pith Number

pith:65FJXTVM

pith:2013:65FJXTVMYUTAJB37WO7V3QLLEJ

not attested not anchored not stored refs pending

Tur\'an type inequalities for generalized inverse trigonometric functions

\'Arp\'ad Baricz, Barkat Ali Bhayo, Matti Vuorinen

arxiv:1305.0938 v2 · 2013-05-04 · 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{65FJXTVMYUTAJB37WO7V3QLLEJ}

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	2026-05-18T00:40:24.710989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c

Aliases

arxiv: 1305.0938 · arxiv_version: 1305.0938v2 · doi: 10.48550/arxiv.1305.0938 · pith_short_12: 65FJXTVMYUTA · pith_short_16: 65FJXTVMYUTAJB37 · pith_short_8: 65FJXTVM

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/65FJXTVMYUTAJB37WO7V3QLLEJ \
  | 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: f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977a5f877c95467ae42cf70b939aa180191b9b60a94cb260dc5ac187df2af55a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-04T17:14:46Z",
    "title_canon_sha256": "f3b1d9f3b8e1c4d9f38208833caf0f6e57048ca24e5cfd5734e87655249cc133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0938",
    "kind": "arxiv",
    "version": 2
  }
}