pith. sign in
Pith Number

pith:A3BM7BMA

pith:2016:A3BM7BMAUSPYXE5VWB474LW2NI
not attested not anchored not stored refs pending

Mutual Information in Rank-One Matrix Estimation

Florent Krzakala, Jiaming Xu, Lenka Zdeborov\'a

arxiv:1603.08447 v1 · 2016-03-28 · cs.IT · cond-mat.dis-nn · math.IT · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A3BM7BMAUSPYXE5VWB474LW2NI}

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 2026-05-18T00:48:05.721548Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

06c2cf8580a49f8b93b5b079fe2eda6a0d671ee3f4649a648810ca6a0571b593

Aliases

arxiv: 1603.08447 · arxiv_version: 1603.08447v1 · doi: 10.48550/arxiv.1603.08447 · pith_short_12: A3BM7BMAUSPY · pith_short_16: A3BM7BMAUSPYXE5V · pith_short_8: A3BM7BMA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A3BM7BMAUSPYXE5VWB474LW2NI \
  | 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: 06c2cf8580a49f8b93b5b079fe2eda6a0d671ee3f4649a648810ca6a0571b593
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "35d63dc071f748047938cbfcf7aa0417274c4fcfa325c73e571c10d7596ac273",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-28T17:27:28Z",
    "title_canon_sha256": "ddd362c77468fba830892d2dafc413089210f5b98d381010800627f72bf9e8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08447",
    "kind": "arxiv",
    "version": 1
  }
}