Pith Number

pith:BKGGCQW5

pith:2013:BKGGCQW57NXF5AFCHZWZKLMDUF

not attested not anchored not stored refs pending

A new proof of the geometric-arithmetic mean inequality by Cauchy's integral formula

Feng Qi, Wen-Hui Li, Xiao-Jing Zhang

arxiv:1301.6432 v1 · 2013-01-28 · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKGGCQW57NXF5AFCHZWZKLMDUF}

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	2026-05-18T02:57:00.052425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a8c6142ddfb6e5e80a23e6d952d83a168f674a93eb70af676f8db65bd24d04d

Aliases

arxiv: 1301.6432 · arxiv_version: 1301.6432v1 · doi: 10.48550/arxiv.1301.6432 · pith_short_12: BKGGCQW57NXF · pith_short_16: BKGGCQW57NXF5AFC · pith_short_8: BKGGCQW5

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/BKGGCQW57NXF5AFCHZWZKLMDUF \
  | 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: 0a8c6142ddfb6e5e80a23e6d952d83a168f674a93eb70af676f8db65bd24d04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1e1eba3af8279dbfb458309f1abdf19158a506ed5d8e96272c2fd74fc7727f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-28T03:01:37Z",
    "title_canon_sha256": "0e4c2b32e9f7d6c1718dbd85dd7f09cd81fd463a0e12abef2257348605c89628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6432",
    "kind": "arxiv",
    "version": 1
  }
}