Pith Number

pith:PZ6E5MKP

pith:2017:PZ6E5MKPIU44UWDPVFZSVLVJ3N

not attested not anchored not stored refs pending

Entrywise Eigenvector Analysis of Random Matrices with Low Expected Rank

Emmanuel Abbe, Jianqing Fan, Kaizheng Wang, Yiqiao Zhong

arxiv:1709.09565 v2 · 2017-09-27 · math.ST · math.PR · 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{PZ6E5MKPIU44UWDPVFZSVLVJ3N}

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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

1 paper in Pith

The Statistical Cost of Adaptation in Multi-Source Transfer Learning

Receipt and verification

First computed	2026-05-17T23:47:08.813881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7c4eb14f4539ca586fa9732aaea9db4f06a4ba3d529f9380e34c3faf20bca2

Aliases

arxiv: 1709.09565 · arxiv_version: 1709.09565v2 · doi: 10.48550/arxiv.1709.09565 · pith_short_12: PZ6E5MKPIU44 · pith_short_16: PZ6E5MKPIU44UWDP · pith_short_8: PZ6E5MKP

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/PZ6E5MKPIU44UWDPVFZSVLVJ3N \
  | 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: 7e7c4eb14f4539ca586fa9732aaea9db4f06a4ba3d529f9380e34c3faf20bca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ccf4d3c82937db672df5ac1c185377dd048e6f761067227551edbad4a3605a",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-09-27T14:55:50Z",
    "title_canon_sha256": "171cb379c14a9fbbce42d88658e9aa63b02ea96b1f91e4dbd01a939d21c13fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09565",
    "kind": "arxiv",
    "version": 2
  }
}