Pith Number

pith:57JLF7DJ

pith:2015:57JLF7DJZ54IPEJ6EHLLPEIDRJ

not attested not anchored not stored refs pending

Strong NP-Hardness for Sparse Optimization with Concave Penalty Functions

Dongdong Ge, Hao Yin, Mengdi Wang, Yichen Chen, Yinyu Ye, Zizhuo Wang

arxiv:1501.00622 v4 · 2015-01-04 · math.OC · cs.CC · math.ST · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57JLF7DJZ54IPEJ6EHLLPEIDRJ}

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	2026-05-18T00:42:13.694700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd2b2fc69cf7887913e21d6b791038a464a6f0fd7c41cae9b6da12522d099c1

Aliases

arxiv: 1501.00622 · arxiv_version: 1501.00622v4 · doi: 10.48550/arxiv.1501.00622 · pith_short_12: 57JLF7DJZ54I · pith_short_16: 57JLF7DJZ54IPEJ6 · pith_short_8: 57JLF7DJ

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/57JLF7DJZ54IPEJ6EHLLPEIDRJ \
  | 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: efd2b2fc69cf7887913e21d6b791038a464a6f0fd7c41cae9b6da12522d099c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9adf4ae112344f1dde81881a5ded82e9146d982174caa289ee42485e4a6ba670",
    "cross_cats_sorted": [
      "cs.CC",
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-04T01:38:23Z",
    "title_canon_sha256": "1b7ae299f49cd76e5216527857cde3e83c367d85a7371281e39ad7fe98b0fa97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00622",
    "kind": "arxiv",
    "version": 4
  }
}