Pith Number

pith:THDSX4KB

pith:2014:THDSX4KB75DORBIONUDHVAWR74

not attested not anchored not stored refs pending

New rigorous perturbation bounds for the LU and QR factorizations

Hanyu Li, Yimin Wei

arxiv:1405.0179 v2 · 2014-05-01 · math.NA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THDSX4KB75DORBIONUDHVAWR74}

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	2026-05-18T02:51:14.623210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c72bf141ff46e8850e6d067a82d1ff2f0ffdd090e29c256de426a59c9c04cd

Aliases

arxiv: 1405.0179 · arxiv_version: 1405.0179v2 · doi: 10.48550/arxiv.1405.0179 · pith_short_12: THDSX4KB75DO · pith_short_16: THDSX4KB75DORBIO · pith_short_8: THDSX4KB

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/THDSX4KB75DORBIONUDHVAWR74 \
  | 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: 99c72bf141ff46e8850e6d067a82d1ff2f0ffdd090e29c256de426a59c9c04cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1190053b630615d146a3000722c45cfa9771b5b392af8e8d3e5c6c38712dfa8f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-05-01T15:07:18Z",
    "title_canon_sha256": "33f9b923c8d1db010ea8b950e1beac6ca86aa9f778db56ad26c9cd72dc3c5dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0179",
    "kind": "arxiv",
    "version": 2
  }
}