Pith Number

pith:ERXK6QMO

pith:2019:ERXK6QMOZTQODB6Y6LYJ75OS5A

not attested not anchored not stored refs pending

Shafer-Fink type inequalities for arc lemniscate functions

Gendi Wang, Minjie Wei, Yue He

arxiv:1905.11802 v1 · 2019-05-28 · 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{ERXK6QMOZTQODB6Y6LYJ75OS5A}

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	2026-05-17T23:44:52.221740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246eaf418ecce0e187d8f2f09ff5d2e81184280e2464c32901c12928aa120976

Aliases

arxiv: 1905.11802 · arxiv_version: 1905.11802v1 · doi: 10.48550/arxiv.1905.11802 · pith_short_12: ERXK6QMOZTQO · pith_short_16: ERXK6QMOZTQODB6Y · pith_short_8: ERXK6QMO

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/ERXK6QMOZTQODB6Y6LYJ75OS5A \
  | 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: 246eaf418ecce0e187d8f2f09ff5d2e81184280e2464c32901c12928aa120976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5e21b9e801f0cf741ce7ce7ea307be7f7be06f953c005ab01e60bc78cc2d53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-28T13:30:01Z",
    "title_canon_sha256": "9eb08d1e62000dd59a42c97a9b3d1f335d4e688236dcea8ca66c92a9d9e38d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11802",
    "kind": "arxiv",
    "version": 1
  }
}