Pith Number

pith:Z5USNV4Y

pith:2017:Z5USNV4YXGASYPSS6FUAP2HOVH

not attested not anchored not stored refs pending

On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix

Yusaku Yamamoto

arxiv:1702.00108 v1 · 2017-02-01 · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5USNV4YXGASYPSS6FUAP2HOVH}

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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	2026-05-18T00:51:35.203517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6926d798b9812c3e52f16807e8eea9c9b4b1ee9d09ac69626e05a2d82481d9

Aliases

arxiv: 1702.00108 · arxiv_version: 1702.00108v1 · doi: 10.48550/arxiv.1702.00108 · pith_short_12: Z5USNV4YXGAS · pith_short_16: Z5USNV4YXGASYPSS · pith_short_8: Z5USNV4Y

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/Z5USNV4YXGASYPSS6FUAP2HOVH \
  | 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: cf6926d798b9812c3e52f16807e8eea9c9b4b1ee9d09ac69626e05a2d82481d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "727a649a66184d4c46f8fdd7766c778aae32a728e309cc9721d1ddf9ec92e92b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2017-02-01T03:00:08Z",
    "title_canon_sha256": "45d2998c1546c1ef927f0bca9afa5e17019bcb62bcfe99371b2c0ae108749a0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00108",
    "kind": "arxiv",
    "version": 1
  }
}