Pith Number

pith:P4A4L2KX

pith:2024:P4A4L2KXBCZGTOLPBPRVRQKMI4

not attested not anchored not stored refs pending

An improved error analysis of CholeskyQR with the randomized model

Haoran Guan, Yuwei Fan

arxiv:2410.09389 v4 · 2024-10-12 · 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{P4A4L2KXBCZGTOLPBPRVRQKMI4}

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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

A new randomized CholeskyQR based on LU decomposition with partial pivoting

Receipt and verification

First computed	2026-07-05T11:55:14.911957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f01c5e95708b269b96f0be358c14c4712e180ce30ecd109b6e9896cc01f3627

Aliases

arxiv: 2410.09389 · arxiv_version: 2410.09389v4 · doi: 10.48550/arxiv.2410.09389 · pith_short_12: P4A4L2KXBCZG · pith_short_16: P4A4L2KXBCZGTOLP · pith_short_8: P4A4L2KX

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/P4A4L2KXBCZGTOLPBPRVRQKMI4 \
  | 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: 7f01c5e95708b269b96f0be358c14c4712e180ce30ecd109b6e9896cc01f3627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46610b7f218e92dcbc90c89a6c7387dd9f8d5f73b1848675fec50fb2ee1f239",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-10-12T06:43:48Z",
    "title_canon_sha256": "a5aa894a84141bdc716f84326069f6a0149ebc40d1512ba472d22421b31e4e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09389",
    "kind": "arxiv",
    "version": 4
  }
}