Pith Number

pith:K25PWLFW

pith:2016:K25PWLFWICJ5RIBHMWHYWWDXFU

not attested not anchored not stored refs pending

Randomized Quasi-Newton Updates are Linearly Convergent Matrix Inversion Algorithms

Peter Richt\'arik, Robert M. Gower

arxiv:1602.01768 v3 · 2016-02-04 · math.NA · cs.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{K25PWLFWICJ5RIBHMWHYWWDXFU}

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	2026-05-18T01:18:24.955745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bafb2cb64093d8a027658f8b58772d18e3bee8a70cb227bb81a9fb645adca7

Aliases

arxiv: 1602.01768 · arxiv_version: 1602.01768v3 · doi: 10.48550/arxiv.1602.01768 · pith_short_12: K25PWLFWICJ5 · pith_short_16: K25PWLFWICJ5RIBH · pith_short_8: K25PWLFW

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/K25PWLFWICJ5RIBHMWHYWWDXFU \
  | 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: 56bafb2cb64093d8a027658f8b58772d18e3bee8a70cb227bb81a9fb645adca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39432da43562fa88e609f4557dd4a362c40a6a741905e92a865987a09c97d62d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-04T18:08:22Z",
    "title_canon_sha256": "2d5213be3db6bf3c1528b372bb6399e35d7fc6b9f88f90a5f136e003a3c2cb8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01768",
    "kind": "arxiv",
    "version": 3
  }
}