Pith Number

pith:ZXKSQ6CV

pith:2016:ZXKSQ6CV2PQXPKIZWTXSLNKRMD

not attested not anchored not stored refs pending

Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization

Afonso S. Bandeira, Alexander S. Wein, Amelia Perry, Ankur Moitra

arxiv:1609.05573 v2 · 2016-09-19 · math.ST · cs.DS · cs.IT · math.IT · math.PR · stat.ML · 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{ZXKSQ6CV2PQXPKIZWTXSLNKRMD}

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

4 papers in Pith

Mixing times of Langevin dynamics for spiked matrix models

Sharp Spectral Thresholds for Multi-View Spiked Wigner Models

Algorithmic Contiguity from Low-Degree Heuristic II: Predicting Detection-Recovery Gaps

Mixing times of Langevin dynamics for spiked matrix models

Receipt and verification

First computed	2026-05-18T00:54:08.796321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd5287855d3e177a919b4ef25b55160e7cfa4996962ce563661b76482521a87

Aliases

arxiv: 1609.05573 · arxiv_version: 1609.05573v2 · doi: 10.48550/arxiv.1609.05573 · pith_short_12: ZXKSQ6CV2PQX · pith_short_16: ZXKSQ6CV2PQXPKIZ · pith_short_8: ZXKSQ6CV

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/ZXKSQ6CV2PQXPKIZWTXSLNKRMD \
  | 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: cdd5287855d3e177a919b4ef25b55160e7cfa4996962ce563661b76482521a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b56d4fd1c737c4cf49a0fa02e4566f02afb325c2c3c62e78a7a8a4a876b740",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "math.IT",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-19T00:25:43Z",
    "title_canon_sha256": "faa96a1fe62ab5a23e334bdbd013cc8d926f35c98e2eaf1be88193f096097ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05573",
    "kind": "arxiv",
    "version": 2
  }
}