Pith Number

pith:QUJ55VLD

pith:2016:QUJ55VLDMLQMRX5IURULXAVUZZ

not attested not anchored not stored refs pending

Guarantees of Riemannian Optimization for Low Rank Matrix Completion

Jian-Feng Cai, Ke Wei, Shingyu Leung, Tony F. Chan

arxiv:1603.06610 v2 · 2016-03-21 · math.NA · 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{QUJ55VLDMLQMRX5IURULXAVUZZ}

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	2026-05-18T01:17:24.468848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8513ded56362e0c8dfa8a468bb82b4ce62c322bc8bbc808d67f23914fcc610a1

Aliases

arxiv: 1603.06610 · arxiv_version: 1603.06610v2 · doi: 10.48550/arxiv.1603.06610 · pith_short_12: QUJ55VLDMLQM · pith_short_16: QUJ55VLDMLQMRX5I · pith_short_8: QUJ55VLD

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/QUJ55VLDMLQMRX5IURULXAVUZZ \
  | 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: 8513ded56362e0c8dfa8a468bb82b4ce62c322bc8bbc808d67f23914fcc610a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990bcb2e2efdb947e2d9197b8469bf85d905611bbece0c9ca174a600705de286",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-21T20:51:16Z",
    "title_canon_sha256": "43ab62b10931f94ee76b45e1f9b1da757adc11ae62785e951ea81a10a14102e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06610",
    "kind": "arxiv",
    "version": 2
  }
}