Pith Number

pith:SPALML5I

pith:2013:SPALML5I5YYRUQN3UDK7EUXVVZ

not attested not anchored not stored refs pending

Decomposition of Singular Matrices into Idempotents

Adel Alahmadi, Andr\'e Leroy (LML), Surender Jain

arxiv:1302.0602 v1 · 2013-02-04 · 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{SPALML5I5YYRUQN3UDK7EUXVVZ}

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	2026-05-18T03:34:36.750703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c0b62fa8ee311a41bba0d5f252f5ae5a070fa329a3ec91844a1118e39b8d30

Aliases

arxiv: 1302.0602 · arxiv_version: 1302.0602v1 · doi: 10.48550/arxiv.1302.0602 · pith_short_12: SPALML5I5YYR · pith_short_16: SPALML5I5YYRUQN3 · pith_short_8: SPALML5I

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/SPALML5I5YYRUQN3UDK7EUXVVZ \
  | 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: 93c0b62fa8ee311a41bba0d5f252f5ae5a070fa329a3ec91844a1118e39b8d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7e1eab8912952ae6ab8fc6498a85048764f51648a16a23c9fe0c2fc5a68dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-02-04T07:55:33Z",
    "title_canon_sha256": "20eefbf63a82c7b0afa5a37f0478d5a24a45db35df8aa3f16e99eb807c0bb5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0602",
    "kind": "arxiv",
    "version": 1
  }
}