Pith Number

pith:UQEB2OPQ

pith:2014:UQEB2OPQ2E7EVIGAI6NMMMQPAT

not attested not anchored not stored refs pending

Universal distribution of Lyapunov exponents for products of Ginibre matrices

Gernot Akemann, Mario Kieburg, Zdzislaw Burda

arxiv:1406.0803 v2 · 2014-06-03 · math-ph · cond-mat.stat-mech · 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{UQEB2OPQ2E7EVIGAI6NMMMQPAT}

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	2026-05-18T02:41:18.544111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4081d39f0d13e4aa0c0479ac6320f04e055ed98894b571297b831c9012413a6

Aliases

arxiv: 1406.0803 · arxiv_version: 1406.0803v2 · doi: 10.48550/arxiv.1406.0803 · pith_short_12: UQEB2OPQ2E7E · pith_short_16: UQEB2OPQ2E7EVIGA · pith_short_8: UQEB2OPQ

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/UQEB2OPQ2E7EVIGAI6NMMMQPAT \
  | 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: a4081d39f0d13e4aa0c0479ac6320f04e055ed98894b571297b831c9012413a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "028dab85f53179263635fccfdc00da99a81c82fa38fa765b202618b1a490906a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-03T18:08:13Z",
    "title_canon_sha256": "d335acc75718e5a265b382e95829ddd29c397746fd7fd08d905a93ef6945ef2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0803",
    "kind": "arxiv",
    "version": 2
  }
}