Pith Number

pith:MOIBA7KJ

pith:2017:MOIBA7KJ2LUP6CAB2YN3JP6FCZ

not attested not anchored not stored refs pending

Noncommutative versions of the arithmetic-geometric mean inequality

Marius Junge, Mingyu Zhao, Wafaa Albar

arxiv:1703.00546 v1 · 2017-03-01 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOIBA7KJ2LUP6CAB2YN3JP6FCZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:49:41.368416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6390107d49d2e8ff0801d61bb4bfc516773d2d0262a55b3952c3600f2505bdc3

Aliases

arxiv: 1703.00546 · arxiv_version: 1703.00546v1 · doi: 10.48550/arxiv.1703.00546 · pith_short_12: MOIBA7KJ2LUP · pith_short_16: MOIBA7KJ2LUP6CAB · pith_short_8: MOIBA7KJ

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/MOIBA7KJ2LUP6CAB2YN3JP6FCZ \
  | 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: 6390107d49d2e8ff0801d61bb4bfc516773d2d0262a55b3952c3600f2505bdc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d798ca39dba2fb221da72bc7de1db983e89e246dabcacba34c52d950a040757e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-01T23:31:33Z",
    "title_canon_sha256": "eb9a206e0cb4c995775a21d93acdd940e30e8b2c0e081a32d8a8df21565eebeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00546",
    "kind": "arxiv",
    "version": 1
  }
}