Pith Number

pith:Y4GCC35R

pith:2016:Y4GCC35R3EZVIHGVP2DUV4B24O

not attested not anchored not stored refs pending

Asymptotic Lyapunov exponents for large random matrices

Hoi H. Nguyen

arxiv:1607.03172 v1 · 2016-07-11 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4GCC35R3EZVIHGVP2DUV4B24O}

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	2026-05-18T01:11:09.641664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70c216fb1d933541cd57e874af03ae3bfb7b45c0276854fcbf65929d13b9351

Aliases

arxiv: 1607.03172 · arxiv_version: 1607.03172v1 · doi: 10.48550/arxiv.1607.03172 · pith_short_12: Y4GCC35R3EZV · pith_short_16: Y4GCC35R3EZVIHGV · pith_short_8: Y4GCC35R

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/Y4GCC35R3EZVIHGVP2DUV4B24O \
  | 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: c70c216fb1d933541cd57e874af03ae3bfb7b45c0276854fcbf65929d13b9351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bfb78427fe078ed3d2b055f3012933d1075ab35f8353d7a840db4c35b5bf82f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-11T21:30:35Z",
    "title_canon_sha256": "4edb57fa86e3f1aa9472b81b0db70da44e7a30eaf3c524312963407533630229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03172",
    "kind": "arxiv",
    "version": 1
  }
}