Pith Number

pith:OBZJLPZC

pith:2007:OBZJLPZCMACW5G5LFSCHEZVTSM

not attested not anchored not stored refs pending

Computing the Conditioning of the Components of a Linear Least Squares Solution

Jack Dongarra, Julien Langou, Marc Baboulin, Serge Gratton

arxiv:0710.0829 v1 · 2007-10-03 · math.NA · cs.NA · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBZJLPZCMACW5G5LFSCHEZVTSM}

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	2026-06-03T22:06:02.660535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707295bf2260056e9bab2c847266b3932a36a818730252150eb147354ebbb4a5

Aliases

arxiv: 0710.0829 · arxiv_version: 0710.0829v1 · doi: 10.48550/arxiv.0710.0829 · pith_short_12: OBZJLPZCMACW · pith_short_16: OBZJLPZCMACW5G5L · pith_short_8: OBZJLPZC

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/OBZJLPZCMACW5G5LFSCHEZVTSM \
  | 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: 707295bf2260056e9bab2c847266b3932a36a818730252150eb147354ebbb4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1b72f8b40cc2d141c72bb72c5928a53e33acb994006bbad3088553568a1609",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-10-03T16:29:12Z",
    "title_canon_sha256": "d84a90c5754a8fd0bf6e3d4dc3ea688d4cebd1bbb3ca8e69db30ef630591ecad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0829",
    "kind": "arxiv",
    "version": 1
  }
}