Pith Number

pith:IQ7S4OMK

pith:2013:IQ7S4OMKOV36QWOCWVZ6MNEFEC

not attested not anchored not stored refs pending

The Phase Transition of Matrix Recovery from Gaussian Measurements Matches the Minimax MSE of Matrix Denoising

Andrea Montanari, David L. Donoho, Matan Gavish

arxiv:1302.2331 v1 · 2013-02-10 · cs.IT · math.IT · math.ST · 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{IQ7S4OMKOV36QWOCWVZ6MNEFEC}

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	2026-05-18T01:51:42.967066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443f2e398a7577e859c2b573e6348520a2b5ae62c53f01b53ee27f343d6194f1

Aliases

arxiv: 1302.2331 · arxiv_version: 1302.2331v1 · doi: 10.48550/arxiv.1302.2331 · pith_short_12: IQ7S4OMKOV36 · pith_short_16: IQ7S4OMKOV36QWOC · pith_short_8: IQ7S4OMK

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/IQ7S4OMKOV36QWOCWVZ6MNEFEC \
  | 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: 443f2e398a7577e859c2b573e6348520a2b5ae62c53f01b53ee27f343d6194f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08620f212cc07721680d87ab6924494fda5ce13607600a24dd023ce99189b5d6",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-10T14:01:11Z",
    "title_canon_sha256": "33633c3b6aff0b7088f9b2b2bce82880c2a3b627248d748603a06dc27ab0ae41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2331",
    "kind": "arxiv",
    "version": 1
  }
}