Pith Number

pith:PBP33QZG

pith:2013:PBP33QZGEJB232G4SS3LQVNZZ3

not attested not anchored not stored refs pending

Some inequalities for complete elliptic integrals

Feng Qi, Li Yin

arxiv:1301.4385 v1 · 2013-01-18 · 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{PBP33QZGEJB232G4SS3LQVNZZ3}

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	2026-05-18T02:28:55.386093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785fbdc3262243ade8dc94b6b855b9cef3c611c0c4ca3851aa72657d21b2dd69

Aliases

arxiv: 1301.4385 · arxiv_version: 1301.4385v1 · doi: 10.48550/arxiv.1301.4385 · pith_short_12: PBP33QZGEJB2 · pith_short_16: PBP33QZGEJB232G4 · pith_short_8: PBP33QZG

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/PBP33QZGEJB232G4SS3LQVNZZ3 \
  | 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: 785fbdc3262243ade8dc94b6b855b9cef3c611c0c4ca3851aa72657d21b2dd69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8cf7d63c19037c856054d79cdbed3ab70a7581be4c5237584da291d02e3fe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-18T13:56:15Z",
    "title_canon_sha256": "c704da9ae7eb78478df34e47320a6ce0caf33243f468465d8aaba6e8f57c7ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4385",
    "kind": "arxiv",
    "version": 1
  }
}