Pith Number

pith:7LXQWWVM

pith:2013:7LXQWWVMI5RAZS2PZJSYYMTBXD

not attested not anchored not stored refs pending

A Power Mean Inequality involving the complete elliptic integrals

Gendi Wang, Xiaohui Zhang, Yuming Chu

arxiv:1302.2755 v1 · 2013-02-12 · 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{7LXQWWVMI5RAZS2PZJSYYMTBXD}

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	2026-05-18T03:33:50.984655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faef0b5aac47620ccb4fca658c3261b8f94e1a4da7f2c0c8c4a3e528537d4776

Aliases

arxiv: 1302.2755 · arxiv_version: 1302.2755v1 · doi: 10.48550/arxiv.1302.2755 · pith_short_12: 7LXQWWVMI5RA · pith_short_16: 7LXQWWVMI5RAZS2P · pith_short_8: 7LXQWWVM

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/7LXQWWVMI5RAZS2PZJSYYMTBXD \
  | 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: faef0b5aac47620ccb4fca658c3261b8f94e1a4da7f2c0c8c4a3e528537d4776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230ef40ad39cdc54f5904ef251c46404cfd2442cbfbda23f71dbf6512af2c918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-12T10:45:11Z",
    "title_canon_sha256": "94088f384e7e0689b1566d6ffbcce6a0e5ad41c16ff9ed47be3d1693e7c28b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2755",
    "kind": "arxiv",
    "version": 1
  }
}