Pith Number

pith:TQPR7YP2

pith:2013:TQPR7YP2QW672O76MVYZDS3G24

not attested not anchored not stored refs pending

A simultaneous decomposition of five real quaternion matrices with applications

Qingwen Wang, Zhuoheng He

arxiv:1306.5074 v1 · 2013-06-21 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQPR7YP2QW672O76MVYZDS3G24}

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	2026-05-18T03:20:19.809331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1f1fe1fa85bdfd3bfe657191cb66d724a5954e3a3454e34266339faa9663a0

Aliases

arxiv: 1306.5074 · arxiv_version: 1306.5074v1 · doi: 10.48550/arxiv.1306.5074 · pith_short_12: TQPR7YP2QW67 · pith_short_16: TQPR7YP2QW672O76 · pith_short_8: TQPR7YP2

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/TQPR7YP2QW672O76MVYZDS3G24 \
  | 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: 9c1f1fe1fa85bdfd3bfe657191cb66d724a5954e3a3454e34266339faa9663a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17efaa41cedf7e5287d3f34f195d8c79c93aba3879118ed7ad7a781d1982c7fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-21T08:32:28Z",
    "title_canon_sha256": "63cab3b8c56f94348cb819a04fcce46a94673f5b9a2b130a4b39842a2126bda1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5074",
    "kind": "arxiv",
    "version": 1
  }
}