Pith Number

pith:MKNXNFHI

pith:2014:MKNXNFHIRLF3WPSVH4IZ3KTZ6M

not attested not anchored not stored refs pending

Universality for products of random matrices I: Ginibre and truncated unitary cases

Dang-Zheng Liu, Yanhui Wang

arxiv:1411.2787 v2 · 2014-11-11 · math.PR · math-ph · math.CA · 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{MKNXNFHIRLF3WPSVH4IZ3KTZ6M}

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.

Cited by

1 paper in Pith

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T01:34:57.331767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629b7694e88acbbb3e553f119daa79f31777f5d1bffd9857c3dec2070041b880

Aliases

arxiv: 1411.2787 · arxiv_version: 1411.2787v2 · doi: 10.48550/arxiv.1411.2787 · pith_short_12: MKNXNFHIRLF3 · pith_short_16: MKNXNFHIRLF3WPSV · pith_short_8: MKNXNFHI

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/MKNXNFHIRLF3WPSVH4IZ3KTZ6M \
  | 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: 629b7694e88acbbb3e553f119daa79f31777f5d1bffd9857c3dec2070041b880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d712fe1d45190a660d11436ca3d846d134ad251e390146894ce683f2a9f84e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-11T12:54:30Z",
    "title_canon_sha256": "7dcc9c4e9586450963045deac3259e962cfd9b3220516eeb2049035cf149d4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2787",
    "kind": "arxiv",
    "version": 2
  }
}