Pith Number

pith:2PYNECBR

pith:2019:2PYNECBR6MU5MZW5LFQC7KIMV4

not attested not anchored not stored refs pending

Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices

Charles Bordenave, Guillaume C\'ebron, Mireille Capitaine, Serban Belinschi

arxiv:1906.10674 v1 · 2019-06-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PYNECBR6MU5MZW5LFQC7KIMV4}

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	2026-05-17T23:42:15.627827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f0d20831f329d666dd59602fa90caf3f690d322b4a2e3114a6db15415cc2eb

Aliases

arxiv: 1906.10674 · arxiv_version: 1906.10674v1 · doi: 10.48550/arxiv.1906.10674 · pith_short_12: 2PYNECBR6MU5 · pith_short_16: 2PYNECBR6MU5MZW5 · pith_short_8: 2PYNECBR

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/2PYNECBR6MU5MZW5LFQC7KIMV4 \
  | 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: d3f0d20831f329d666dd59602fa90caf3f690d322b4a2e3114a6db15415cc2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7466662923c526e5088dd1ac4f3315d7375256adab835024520d41335fdaf288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-25T17:24:47Z",
    "title_canon_sha256": "e007d8586b8f2e42bde422e0684003ca4fd6e01e867d9b62e5d2d98352260861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10674",
    "kind": "arxiv",
    "version": 1
  }
}