Pith Number

pith:NARYSMIV

pith:2010:NARYSMIVJ7BRIB7CGEER3I6NSZ

not attested not anchored not stored refs pending

Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence

Andrii Dmytryshyn, Bo K\r{a}gstr\"om, Lena Klimenko, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1004.3590 v3 · 2010-04-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NARYSMIVJ7BRIB7CGEER3I6NSZ}

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	2026-05-18T02:31:48.750897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68238931154fc31407e231091da3cd964623ca343b500f4b41c5a990a9480468

Aliases

arxiv: 1004.3590 · arxiv_version: 1004.3590v3 · doi: 10.48550/arxiv.1004.3590 · pith_short_12: NARYSMIVJ7BR · pith_short_16: NARYSMIVJ7BRIB7C · pith_short_8: NARYSMIV

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/NARYSMIVJ7BRIB7CGEER3I6NSZ \
  | 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: 68238931154fc31407e231091da3cd964623ca343b500f4b41c5a990a9480468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c68397764b0779da86c7890c03ed758f64ab01327375fb605b61e1ae1df5ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-20T22:13:25Z",
    "title_canon_sha256": "64e89921eb8de8e5a61718e9e8ff4bd7b0423f32faa47c2df55eed19f69ab95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3590",
    "kind": "arxiv",
    "version": 3
  }
}