Pith Number

pith:5TITJAZY

pith:2015:5TITJAZYPKKZBRKP7WYWPWXHYQ

not attested not anchored not stored refs pending

Local law for the product of independent non-Hermitian matrices with independent entries

Yuriy Nemish

arxiv:1512.03117 v1 · 2015-12-10 · 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{5TITJAZYPKKZBRKP7WYWPWXHYQ}

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	2026-05-18T01:24:37.844369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd13483387a9590c54ffdb167dae7c42f0cae85c8fe0bcb96be3b493ff74d24

Aliases

arxiv: 1512.03117 · arxiv_version: 1512.03117v1 · doi: 10.48550/arxiv.1512.03117 · pith_short_12: 5TITJAZYPKKZ · pith_short_16: 5TITJAZYPKKZBRKP · pith_short_8: 5TITJAZY

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/5TITJAZYPKKZBRKP7WYWPWXHYQ \
  | 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: ecd13483387a9590c54ffdb167dae7c42f0cae85c8fe0bcb96be3b493ff74d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79cacc61d1a68387fe3a84bc2a75c9b46a0522b973096261843e5cd566d5ccc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-10T00:26:57Z",
    "title_canon_sha256": "734fe5b2dcc0695086a8c1fb70e378408d73e3a5995496fbb561f3d1f4d1d632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03117",
    "kind": "arxiv",
    "version": 1
  }
}