Pith Number

pith:7CMSKOXO

pith:2012:7CMSKOXOFS2P3BAJP2JYJOANR4

not attested not anchored not stored refs pending

Outliers in the spectrum of large deformed unitarily invariant models

Hari Bercovici, Maxime F\'evrier, Mireille Capitaine, Serban Teodor Belinschi

arxiv:1207.5443 v1 · 2012-07-23 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CMSKOXOFS2P3BAJP2JYJOANR4}

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	2026-05-18T03:50:23.462903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f899253aee2cb4fd84097e9384b80d8f2b37d01f172af49b34ed27cb85bb4af5

Aliases

arxiv: 1207.5443 · arxiv_version: 1207.5443v1 · doi: 10.48550/arxiv.1207.5443 · pith_short_12: 7CMSKOXOFS2P · pith_short_16: 7CMSKOXOFS2P3BAJ · pith_short_8: 7CMSKOXO

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/7CMSKOXOFS2P3BAJP2JYJOANR4 \
  | 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: f899253aee2cb4fd84097e9384b80d8f2b37d01f172af49b34ed27cb85bb4af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be40bf6df1099229ad03366e6a74839f31b92819fa4467fe098c912a7c9d9c6c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-23T16:33:28Z",
    "title_canon_sha256": "cec5f02bdb1fe52633373c939b0c0f85c64b090595e48721cdd595530594bcea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5443",
    "kind": "arxiv",
    "version": 1
  }
}