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Pith Number

pith:5AGPPJ5U

pith:2015:5AGPPJ5U6WPLY5FEKC442AF56O
not attested not anchored not stored refs pending

Matrix Completion from Fewer Entries: Spectral Detectability and Rank Estimation

Alaa Saade, Florent Krzakala, Lenka Zdeborov\'a

arxiv:1506.03498 v3 · 2015-06-10 · cond-mat.dis-nn · cs.LG · stat.ML

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5AGPPJ5U6WPLY5FEKC442AF56O}

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 2026-05-18T01:21:01.058307Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e80cf7a7b4f59ebc74a450b9cd00bdf39562ebd232f06f7f586f32a3d7f25ea0

Aliases

arxiv: 1506.03498 · arxiv_version: 1506.03498v3 · doi: 10.48550/arxiv.1506.03498 · pith_short_12: 5AGPPJ5U6WPL · pith_short_16: 5AGPPJ5U6WPLY5FE · pith_short_8: 5AGPPJ5U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5AGPPJ5U6WPLY5FEKC442AF56O \
  | 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: e80cf7a7b4f59ebc74a450b9cd00bdf39562ebd232f06f7f586f32a3d7f25ea0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "26cb53cf108a09b0e972726b4882df1378a0aa00a0c11ffad48b9f6b837e0117",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-06-10T22:46:02Z",
    "title_canon_sha256": "fc09a05ae57e84a7e30111adf2c54c78e4453963e5ca1d9fba604aac5076fee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03498",
    "kind": "arxiv",
    "version": 3
  }
}