Pith Number

pith:XJVEKLMV

pith:2014:XJVEKLMVYMGDO4YXHNFRXMSGTZ

not attested not anchored not stored refs pending

Lyapunov exponents for products of rectangular real, complex and quaternionic Ginibre matrices

J. R. Ipsen

arxiv:1412.3003 v2 · 2014-12-09 · 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{XJVEKLMVYMGDO4YXHNFRXMSGTZ}

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	2026-05-18T01:41:20.404184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba6a452d95c30c3773173b4b1bb2469e512573be7e1418518be0aa4f506a6f3a

Aliases

arxiv: 1412.3003 · arxiv_version: 1412.3003v2 · doi: 10.48550/arxiv.1412.3003 · pith_short_12: XJVEKLMVYMGD · pith_short_16: XJVEKLMVYMGDO4YX · pith_short_8: XJVEKLMV

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/XJVEKLMVYMGDO4YXHNFRXMSGTZ \
  | 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: ba6a452d95c30c3773173b4b1bb2469e512573be7e1418518be0aa4f506a6f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcc3614cbf2f88d787aa7aeea814088f72dce528e24ddbb58a2e938ee698447",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-09T15:56:17Z",
    "title_canon_sha256": "95dd21198d272ea75c7c8a27329905c3b572d913a8bf7bc959f47e5abba0d4c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3003",
    "kind": "arxiv",
    "version": 2
  }
}