Pith Number

pith:MY2BPF2U

pith:2008:MY2BPF2U7ZASPWQ3VQLAEESX43

not attested not anchored not stored refs pending

Communication-optimal parallel and sequential QR and LU factorizations

James Demmel, Julien Langou, Laura Grigori, Mark Hoemmen

arxiv:0808.2664 v1 · 2008-08-19 · 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{MY2BPF2U7ZASPWQ3VQLAEESX43}

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	2026-06-03T22:06:09.166436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6634179754fe4127da1bac16021257e6e44238e25caad36f92135753ba67e4fb

Aliases

arxiv: 0808.2664 · arxiv_version: 0808.2664v1 · doi: 10.48550/arxiv.0808.2664 · pith_short_12: MY2BPF2U7ZAS · pith_short_16: MY2BPF2U7ZASPWQ3 · pith_short_8: MY2BPF2U

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/MY2BPF2U7ZASPWQ3VQLAEESX43 \
  | 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: 6634179754fe4127da1bac16021257e6e44238e25caad36f92135753ba67e4fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9b5a98eaf156bbbc126a46e737cf38cbbb39d0d9166217d59f7229be9b319b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-08-19T21:53:42Z",
    "title_canon_sha256": "dbda639831dcd6dd32ecd4d0ce57e6fa0cb26efb3c6e420db5efdc3e7742b9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2664",
    "kind": "arxiv",
    "version": 1
  }
}