Pith Number

pith:L6ZZP7WA

pith:2016:L6ZZP7WALYVHF7WBC3AMZAWC7N

not attested not anchored not stored refs pending

The Non-convex Geometry of Low-rank Matrix Optimization

Gongguo Tang, Qiuwei Li, Zhihui Zhu

arxiv:1611.03060 v3 · 2016-11-09 · 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{L6ZZP7WALYVHF7WBC3AMZAWC7N}

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	2026-05-17T23:53:03.100334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fb397fec05e2a72fec116c0cc82c2fb5ec58cfb354d3d11eb1087fd67749544

Aliases

arxiv: 1611.03060 · arxiv_version: 1611.03060v3 · doi: 10.48550/arxiv.1611.03060 · pith_short_12: L6ZZP7WALYVH · pith_short_16: L6ZZP7WALYVHF7WB · pith_short_8: L6ZZP7WA

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/L6ZZP7WALYVHF7WBC3AMZAWC7N \
  | 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: 5fb397fec05e2a72fec116c0cc82c2fb5ec58cfb354d3d11eb1087fd67749544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35d529caf6a6f6ec40563c5d49d210ecc2ca4ad77c0590f36e9484444d66d98",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-09T19:49:06Z",
    "title_canon_sha256": "2ae6afaacad1665945135015af5b5a2de19eeaa230407dc6b1c31f96a8c98c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03060",
    "kind": "arxiv",
    "version": 3
  }
}