Pith Number

pith:M2N3S256

pith:2014:M2N3S25642DKIXNAOUY4QKR5HP

not attested not anchored not stored refs pending

No outliers in the spectrum of the product of independent non-Hermitian random matrices with independent entries

Yuriy Nemish

arxiv:1412.2410 v2 · 2014-12-07 · 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{M2N3S25642DKIXNAOUY4QKR5HP}

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	2026-05-18T01:24:30.495863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

669bb96bbee686a45da07531c82a3d3bdb93e8af0a12e774ec0db52b23e69834

Aliases

arxiv: 1412.2410 · arxiv_version: 1412.2410v2 · doi: 10.48550/arxiv.1412.2410 · pith_short_12: M2N3S25642DK · pith_short_16: M2N3S25642DKIXNA · pith_short_8: M2N3S256

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/M2N3S25642DKIXNAOUY4QKR5HP \
  | 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: 669bb96bbee686a45da07531c82a3d3bdb93e8af0a12e774ec0db52b23e69834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60d229a7bb362a231e1bb88419de7511522abf817aa0aebb2a2d2e82bb9a00f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-07T23:05:06Z",
    "title_canon_sha256": "48b9d3420a8d3fda6269bd9edc766bb6650ff5727cfb3bb7c1d4e1df4de11f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2410",
    "kind": "arxiv",
    "version": 2
  }
}