Pith Number

pith:4U24GCTJ

pith:2009:4U24GCTJ2OINRSDCMEGUVTHQPA

not attested not anchored not stored refs pending

Using Underapproximations for Sparse Nonnegative Matrix Factorization

Fran\c{c}ois Glineur, Nicolas Gillis

arxiv:0902.1060 v2 · 2009-02-06 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4U24GCTJ2OINRSDCMEGUVTHQPA}

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	2026-05-18T03:49:09.471434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e535c30a69d390d8c862610d4accf078192439420a89ffe47d5a25cba35b6ea0

Aliases

arxiv: 0902.1060 · arxiv_version: 0902.1060v2 · doi: 10.48550/arxiv.0902.1060 · pith_short_12: 4U24GCTJ2OIN · pith_short_16: 4U24GCTJ2OINRSDC · pith_short_8: 4U24GCTJ

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/4U24GCTJ2OINRSDCMEGUVTHQPA \
  | 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: e535c30a69d390d8c862610d4accf078192439420a89ffe47d5a25cba35b6ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fcb953fce2fd3106c6c1a84ed2b8404952801c8382dd6a4713dbcc2827f086",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-02-06T11:05:23Z",
    "title_canon_sha256": "5d65e20a8528756acc2b5cc987ef2bcfaf71aff3e1a3be2b7aee5530c1a8bac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1060",
    "kind": "arxiv",
    "version": 2
  }
}