Pith Number

pith:YZD67WYW

pith:2014:YZD67WYWWGOFHXFXXPV52H2RBD

not attested not anchored not stored refs pending

An arithmetic-geometric mean inequality for products of three matrices

Arie Israel, Felix Krahmer, Rachel Ward

arxiv:1411.0333 v4 · 2014-11-02 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZD67WYWWGOFHXFXXPV52H2RBD}

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	2026-05-18T01:42:47.947633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c647efdb16b19c53dcb7bbebdd1f5108fc6a9706f33b686b3747cfe32e474703

Aliases

arxiv: 1411.0333 · arxiv_version: 1411.0333v4 · doi: 10.48550/arxiv.1411.0333 · pith_short_12: YZD67WYWWGOF · pith_short_16: YZD67WYWWGOFHXFX · pith_short_8: YZD67WYW

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/YZD67WYWWGOFHXFXXPV52H2RBD \
  | 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: c647efdb16b19c53dcb7bbebdd1f5108fc6a9706f33b686b3747cfe32e474703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52a7f890fbc203a1e0378df74ed6afbc30beca6ebd5f9d592fb7bc8ed4ef415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-11-02T23:14:55Z",
    "title_canon_sha256": "c5b8d0169814edefa9fd51596bf4416ea7f8d579b82047ea80dcf80b13e25e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0333",
    "kind": "arxiv",
    "version": 4
  }
}