Pith Number

pith:TB3Y7NIJ

pith:2026:TB3Y7NIJROQML7PCO64EECHCWP

not attested not anchored not stored refs pending

Numerically Stable Cholesky-QR on GPU via Mixed-Precision Randomized Preconditioning

Chao Chen, Ilse C. F. Ipsen, James E. Garrison

arxiv:2606.18411 v1 · 2026-06-16 · 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{TB3Y7NIJROQML7PCO64EECHCWP}

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	2026-06-19T16:11:00.682200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98778fb5098ba0c5fde277b84208e2b3d88856b151c68df94b9e9c0b0e366c2e

Aliases

arxiv: 2606.18411 · arxiv_version: 2606.18411v1 · doi: 10.48550/arxiv.2606.18411 · pith_short_12: TB3Y7NIJROQM · pith_short_16: TB3Y7NIJROQML7PC · pith_short_8: TB3Y7NIJ

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/TB3Y7NIJROQML7PCO64EECHCWP \
  | 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: 98778fb5098ba0c5fde277b84208e2b3d88856b151c68df94b9e9c0b0e366c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fac77ad5511e624eb6d6870b42c379b382b59f4a5e6a441374a6520e0d858b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-16T19:04:53Z",
    "title_canon_sha256": "fea114a1b3b8777d9bff686a25d6ae39a05a84a611e037b8b325910935be1b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18411",
    "kind": "arxiv",
    "version": 1
  }
}