Pith Number

pith:PJG7I5Z3

pith:2026:PJG7I5Z3OC7S5MDEWX7MDOT7YP

not attested not anchored not stored refs pending

On the Complexity of Entrywise Power Matrix Factorization

Arnaud Vandaele, Nicolas Gillis, Stefano Sicilia, Subhayan Saha

arxiv:2607.04875 v1 · 2026-07-06 · cs.CC · cs.IR · math.CO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJG7I5Z3OC7S5MDEWX7MDOT7YP}

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	2026-07-07T02:20:08.752813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4df4773b70bf2eb064b5fec1ba7fc3ef825c6b015a3441b1676f79149f0965

Aliases

arxiv: 2607.04875 · arxiv_version: 2607.04875v1 · doi: 10.48550/arxiv.2607.04875 · pith_short_12: PJG7I5Z3OC7S · pith_short_16: PJG7I5Z3OC7S5MDE · pith_short_8: PJG7I5Z3

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/PJG7I5Z3OC7S5MDEWX7MDOT7YP \
  | 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: 7a4df4773b70bf2eb064b5fec1ba7fc3ef825c6b015a3441b1676f79149f0965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a98b6026cebcb08f57649d8bcd1cace2bbd8af48fdc70dc60bd282ad466af2",
    "cross_cats_sorted": [
      "cs.IR",
      "math.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-06T09:50:20Z",
    "title_canon_sha256": "725e6824583f616cbfb277198583d9b8e0be5055639e7db56ab93bdb9697a94c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04875",
    "kind": "arxiv",
    "version": 1
  }
}