Pith Number

pith:7WMEFUK4

pith:2011:7WMEFUK4QPJQFF4GEOMORUPYIJ

not attested not anchored not stored refs pending

Uniqueness Analysis of Non-Unitary Matrix Joint Diagonalization

Hao Shen, Martin Kleinsteuber

arxiv:1111.7088 v3 · 2011-11-30 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WMEFUK4QPJQFF4GEOMORUPYIJ}

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	2026-05-18T03:58:38.117916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9842d15c83d30297862398e8d1f84249ca5cea2d66b83e328927514410bc90

Aliases

arxiv: 1111.7088 · arxiv_version: 1111.7088v3 · doi: 10.48550/arxiv.1111.7088 · pith_short_12: 7WMEFUK4QPJQ · pith_short_16: 7WMEFUK4QPJQFF4G · pith_short_8: 7WMEFUK4

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/7WMEFUK4QPJQFF4GEOMORUPYIJ \
  | 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: fd9842d15c83d30297862398e8d1f84249ca5cea2d66b83e328927514410bc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545a8471bb00c5a84cf5f44bc53a8f56d839894035337de85a80f340b21b370a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-30T09:10:01Z",
    "title_canon_sha256": "5d91f570b9f7551c970cadf71d1dd222b5addbbabbacaf376637bf60c9d23a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7088",
    "kind": "arxiv",
    "version": 3
  }
}