Pith Number

pith:PYBJK2KX

pith:2019:PYBJK2KXVM5Q3NPXPX5P2C55ML

not attested not anchored not stored refs pending

Rational Minimax Iterations for Computing the Matrix $p$th Root

Evan S. Gawlik

arxiv:1903.06268 v1 · 2019-03-14 · 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{PYBJK2KXVM5Q3NPXPX5P2C55ML}

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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.

Cited by

1 paper in Pith

Approximating the pth Root by Composite Rational Functions

Receipt and verification

First computed	2026-05-17T23:51:11.287109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e02956957ab3b0db5f77dfafd0bbd62ffda5895cf0ab89e1cd52de30a7c1b37

Aliases

arxiv: 1903.06268 · arxiv_version: 1903.06268v1 · doi: 10.48550/arxiv.1903.06268 · pith_short_12: PYBJK2KXVM5Q · pith_short_16: PYBJK2KXVM5Q3NPX · pith_short_8: PYBJK2KX

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/PYBJK2KXVM5Q3NPXPX5P2C55ML \
  | 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: 7e02956957ab3b0db5f77dfafd0bbd62ffda5895cf0ab89e1cd52de30a7c1b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef5882c854ef448b81f1fbc72af755f635a20d51598b1f2e6b046225170f39c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-14T21:27:25Z",
    "title_canon_sha256": "cb80160eb735c8bdcdb2c4cf5a5f977b49182e4d0f2b168af2a7d1e0a43fc4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06268",
    "kind": "arxiv",
    "version": 1
  }
}