Pith Number

pith:5PCA3XN7

pith:2018:5PCA3XN7X7XKWFHTNLYA6PYGBS

not attested not anchored not stored refs pending

Kurdyka-Lojasiewicz Property of Zero-Norm Composite Functions

Shaohua Pan, Shujun Bi, Yuqia Wu

arxiv:1811.04371 v5 · 2018-11-11 · 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{5PCA3XN7X7XKWFHTNLYA6PYGBS}

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.

Cited by

1 paper in Pith

Several classes of stationary points for rank regularized minimization problems

Receipt and verification

First computed	2026-07-05T02:08:58.013330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc40dddbfbfeeab14f36af00f3f060c941bcae7b26cebbd2cd8c7ad32d8f5de

Aliases

arxiv: 1811.04371 · arxiv_version: 1811.04371v5 · doi: 10.48550/arxiv.1811.04371 · pith_short_12: 5PCA3XN7X7XK · pith_short_16: 5PCA3XN7X7XKWFHT · pith_short_8: 5PCA3XN7

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/5PCA3XN7X7XKWFHTNLYA6PYGBS \
  | 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: ebc40dddbfbfeeab14f36af00f3f060c941bcae7b26cebbd2cd8c7ad32d8f5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88dcb88332e52e7c2c5c6744fd85a2b028a39c83e061a5b67f25842a71a547de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-11T08:44:25Z",
    "title_canon_sha256": "f7f69d3b21867886005a695afeaec96c883e4d424444715f25adc9769c98b322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04371",
    "kind": "arxiv",
    "version": 5
  }
}