Pith Number

pith:333LF7LZ

pith:2011:333LF7LZMB6XAH4OLHAP4ZNFXC

not attested not anchored not stored refs pending

Alternating proximal gradient method for nonnegative matrix factorization

Yangyang Xu

arxiv:1112.5407 v3 · 2011-12-22 · cs.IT · math.IT · 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{333LF7LZMB6XAH4OLHAP4ZNFXC}

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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.

Cited by

1 paper in Pith

An Exterior Method for Nonnegative Matrix Factorization

Receipt and verification

First computed	2026-05-18T03:34:03.414841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def6b2fd79607d701f8e59c0fe65a5b88bd044ea13aad240bf31e9d09be1a446

Aliases

arxiv: 1112.5407 · arxiv_version: 1112.5407v3 · doi: 10.48550/arxiv.1112.5407 · pith_short_12: 333LF7LZMB6X · pith_short_16: 333LF7LZMB6XAH4O · pith_short_8: 333LF7LZ

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/333LF7LZMB6XAH4OLHAP4ZNFXC \
  | 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: def6b2fd79607d701f8e59c0fe65a5b88bd044ea13aad240bf31e9d09be1a446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ac4ac4b5aeb7a6aaae3ef273cac7035beb152c9ff52369cdf305bf443e7f58",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-22T18:22:59Z",
    "title_canon_sha256": "838f25670db41f7b0a55cc86a3f10fa335ed88137b892dbce848a4d529b314fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5407",
    "kind": "arxiv",
    "version": 3
  }
}