Pith Number

pith:BUZ7UQSR

pith:2010:BUZ7UQSRA6ZCHAXITEW7VUOCYR

not attested not anchored not stored refs pending

$G-$Decompositions of Matrices and Related Problems I

Farrukh Mukhamedov, Mansoor Saburov, Rasul Ganikhodjaev

arxiv:1010.5564 v2 · 2010-10-27 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUZ7UQSRA6ZCHAXITEW7VUOCYR}

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	2026-05-18T02:27:49.872624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d33fa425107b22382e8992dfad1c2c45220806243edacaf54b0418ffeaa71a8

Aliases

arxiv: 1010.5564 · arxiv_version: 1010.5564v2 · doi: 10.48550/arxiv.1010.5564 · pith_short_12: BUZ7UQSRA6ZC · pith_short_16: BUZ7UQSRA6ZCHAXI · pith_short_8: BUZ7UQSR

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/BUZ7UQSRA6ZCHAXITEW7VUOCYR \
  | 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: 0d33fa425107b22382e8992dfad1c2c45220806243edacaf54b0418ffeaa71a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7e45177554557241e1ab5a04c3145d9c66bf89e17c3d5558a9ee2722c24f20",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-27T04:30:38Z",
    "title_canon_sha256": "240a086aa786295be941675949b1d7e7d7b66d45542fc30d9cf072bf4bc9b67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5564",
    "kind": "arxiv",
    "version": 2
  }
}