Pith Number

pith:I5URMWUZ

pith:2018:I5URMWUZTR24BCZYF7ZHKEO3JN

not attested not anchored not stored refs pending

Shifted CholeskyQR for computing the QR factorization of ill-conditioned matrices

Ramaseshan Kannan, Takeshi Fukaya, Yuji Nakatsukasa, Yuka Yanagisawa, Yusaku Yamamoto

arxiv:1809.11085 v1 · 2018-09-28 · 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{I5URMWUZTR24BCZYF7ZHKEO3JN}

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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	2026-05-18T00:04:33.340778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4769165a999c75c08b382ff27511db4b4679f622099c54fa079e200d6ff1bcf4

Aliases

arxiv: 1809.11085 · arxiv_version: 1809.11085v1 · doi: 10.48550/arxiv.1809.11085 · pith_short_12: I5URMWUZTR24 · pith_short_16: I5URMWUZTR24BCZY · pith_short_8: I5URMWUZ

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/I5URMWUZTR24BCZYF7ZHKEO3JN \
  | 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: 4769165a999c75c08b382ff27511db4b4679f622099c54fa079e200d6ff1bcf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59372cee2ffa02908542f249b5f7b08572b911e5c554168777856a407205d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-28T15:26:25Z",
    "title_canon_sha256": "6d42bbea5e6303d9a4e5415d3586b9ded7f113a96b9b5bc8e990cf16243ab493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.11085",
    "kind": "arxiv",
    "version": 1
  }
}