Pith Number

pith:MYJKS4MO

pith:2013:MYJKS4MOPNGP5OG3O7R5TLH5Y3

not attested not anchored not stored refs pending

Roots multiplicity and square-free factorization of polynomials using companion matrices

Fernando Szechtman, Natalio H. Guersenzvaig

arxiv:1306.4342 v1 · 2013-06-18 · 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{MYJKS4MOPNGP5OG3O7R5TLH5Y3}

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	2026-05-18T03:20:34.733503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6612a9718e7b4cfeb8db77e3d9acfdc6c078428a8548f108114b48378599d467

Aliases

arxiv: 1306.4342 · arxiv_version: 1306.4342v1 · doi: 10.48550/arxiv.1306.4342 · pith_short_12: MYJKS4MOPNGP · pith_short_16: MYJKS4MOPNGP5OG3 · pith_short_8: MYJKS4MO

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/MYJKS4MOPNGP5OG3O7R5TLH5Y3 \
  | 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: 6612a9718e7b4cfeb8db77e3d9acfdc6c078428a8548f108114b48378599d467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6a0a540d63913a05e264d5a14066d5f48ec88c063ab78855a33613e1415530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-18T20:23:41Z",
    "title_canon_sha256": "ae21cafb406bc3a9234e70056800562e0ede2355964b930234a0eb675df87a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4342",
    "kind": "arxiv",
    "version": 1
  }
}