Pith Number

pith:KUHHAW6G

pith:2016:KUHHAW6GN3YNGMY5LWDOUJRGKH

not attested not anchored not stored refs pending

Equality of Lyapunov and stability exponents for products of isotropic random matrices

Nanda Kishore Reddy

arxiv:1601.02888 v1 · 2016-01-12 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUHHAW6GN3YNGMY5LWDOUJRGKH}

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	2026-05-18T01:22:59.404441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550e705bc66ef0d3331d5d86ea262651fb43c924009f0119d39c0b408d717e82

Aliases

arxiv: 1601.02888 · arxiv_version: 1601.02888v1 · doi: 10.48550/arxiv.1601.02888 · pith_short_12: KUHHAW6GN3YN · pith_short_16: KUHHAW6GN3YNGMY5 · pith_short_8: KUHHAW6G

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/KUHHAW6GN3YNGMY5LWDOUJRGKH \
  | 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: 550e705bc66ef0d3331d5d86ea262651fb43c924009f0119d39c0b408d717e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197de6333e61a81b7ffc4a6f0337215b0d48f5868d3c0d2703a9d9199c7bbc51",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-12T14:50:15Z",
    "title_canon_sha256": "3f6254e7bdb0b0e1ae4844144e0e491640822c37b1b9587608af3a0953ffb689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02888",
    "kind": "arxiv",
    "version": 1
  }
}