Pith Number

pith:QLJKMUXE

pith:2006:QLJKMUXEB7REZ5ZFND4ZDQIVMA

not attested not anchored not stored refs pending

Quaternion Singular Value Decomposition based on Bidiagonalization to a Real Matrix using Quaternion Householder Transformations

Nicolas Le Bihan, Stephen J. Sangwine

arxiv:math/0603251 v1 · 2006-03-10 · 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{QLJKMUXEB7REZ5ZFND4ZDQIVMA}

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	2026-06-03T22:06:19.270647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d2a652e40fe24cf72568f991c115603863e2772781877a648e002728d6c191

Aliases

arxiv: math/0603251 · arxiv_version: math/0603251v1 · doi: 10.48550/arxiv.math/0603251 · pith_short_12: QLJKMUXEB7RE · pith_short_16: QLJKMUXEB7REZ5ZF · pith_short_8: QLJKMUXE

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/QLJKMUXEB7REZ5ZFND4ZDQIVMA \
  | 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: 82d2a652e40fe24cf72568f991c115603863e2772781877a648e002728d6c191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55546c18dd009c40a859f376030ded8eacf42a46341ee00b673aee169f03eac",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-03-10T16:58:52Z",
    "title_canon_sha256": "37464c89d9b895e5f093b67167559b19c055353497ce69f664bc3cf3759625ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603251",
    "kind": "arxiv",
    "version": 1
  }
}