Pith Number

pith:B2E77A5W

pith:2018:B2E77A5WXTJHJ6IHMQWE7VFC2R

not attested not anchored not stored refs pending

Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models

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

arxiv:1807.00891 v2 · 2018-07-02 · 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{B2E77A5WXTJHJ6IHMQWE7VFC2R}

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	2026-05-18T00:07:06.449798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e89ff83b6bcd274f907642c4fd4a2d47c7047bdd47a33f73544495be8877794

Aliases

arxiv: 1807.00891 · arxiv_version: 1807.00891v2 · doi: 10.48550/arxiv.1807.00891 · pith_short_12: B2E77A5WXTJH · pith_short_16: B2E77A5WXTJHJ6IH · pith_short_8: B2E77A5W

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/B2E77A5WXTJHJ6IHMQWE7VFC2R \
  | 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: 0e89ff83b6bcd274f907642c4fd4a2d47c7047bdd47a33f73544495be8877794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5013e2d176e5c186f53ebc422846cc44664e4e0c8b7507a769c270786644dbc0",
    "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": "2018-07-02T21:11:57Z",
    "title_canon_sha256": "f90596bb38104d50da3ef73e18c7b7ddd9f051738bd54726405dd045f68c1b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00891",
    "kind": "arxiv",
    "version": 2
  }
}