Pith Number

pith:IV6SZKRY

pith:2016:IV6SZKRY2627ECXXKUHB3A2BQG

not attested not anchored not stored refs pending

Singular Values of Products of Ginibre Random Matrices

N.S. Witte, P.J. Forrester

arxiv:1605.00704 v1 · 2016-05-02 · math.CA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV6SZKRY2627ECXXKUHB3A2BQG}

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	2026-05-18T01:15:48.322381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457d2caa38d7b5f20af7550e1d834181a18c9173bfe330db7bcea31aec7b2b2c

Aliases

arxiv: 1605.00704 · arxiv_version: 1605.00704v1 · doi: 10.48550/arxiv.1605.00704 · pith_short_12: IV6SZKRY2627 · pith_short_16: IV6SZKRY2627ECXX · pith_short_8: IV6SZKRY

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/IV6SZKRY2627ECXXKUHB3A2BQG \
  | 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: 457d2caa38d7b5f20af7550e1d834181a18c9173bfe330db7bcea31aec7b2b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09657c4d594b13f4ef387950fc9f3f12e7e806dac8d595c8dbc0f5b30315e7cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-02T23:13:11Z",
    "title_canon_sha256": "db0b35e29f77bc9b3200f53de1940dbf68c01106a47833ec32710002f37af329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00704",
    "kind": "arxiv",
    "version": 1
  }
}