Pith Number

pith:D2M7OXET

pith:2011:D2M7OXET2V6KRXBDLRIYEYNCSR

not attested not anchored not stored refs pending

A simple proof on the inequality of arithmetic and geometric means

Haoxiang Lin

arxiv:1201.5534 v3 · 2011-12-28 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2M7OXET2V6KRXBDLRIYEYNCSR}

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	2026-05-18T02:20:50.178201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e99f75c93d57ca8dc235c518261a29440cc35b4fe5ea8d4693238b4a53768bc

Aliases

arxiv: 1201.5534 · arxiv_version: 1201.5534v3 · doi: 10.48550/arxiv.1201.5534 · pith_short_12: D2M7OXET2V6K · pith_short_16: D2M7OXET2V6KRXBD · pith_short_8: D2M7OXET

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/D2M7OXET2V6KRXBDLRIYEYNCSR \
  | 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: 1e99f75c93d57ca8dc235c518261a29440cc35b4fe5ea8d4693238b4a53768bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103e7c1399e255f42e17c11852cd17a418cb336a432259769c1e13f98be810fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-12-28T08:36:52Z",
    "title_canon_sha256": "44551fc6927812052705e564a29b6879882df6b293334874fe9295de33b1c74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5534",
    "kind": "arxiv",
    "version": 3
  }
}