Pith Number

pith:GKCX75RA

pith:2019:GKCX75RAWB2M5MJ6VQ56QC4QH3

not attested not anchored not stored refs pending

Large n limit for the product of two coupled random matrices

Guilherme L. F. Silva, Lun Zhang

arxiv:1908.05708 v1 · 2019-08-15 · math-ph · math.CA · math.CV · 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{GKCX75RAWB2M5MJ6VQ56QC4QH3}

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	2026-07-05T01:12:22.368666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32857ff620b074ceb13eac3be80b903edfcce7f903f29e4e978e59f961411c07

Aliases

arxiv: 1908.05708 · arxiv_version: 1908.05708v1 · doi: 10.48550/arxiv.1908.05708 · pith_short_12: GKCX75RAWB2M · pith_short_16: GKCX75RAWB2M5MJ6 · pith_short_8: GKCX75RA

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/GKCX75RAWB2M5MJ6VQ56QC4QH3 \
  | 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: 32857ff620b074ceb13eac3be80b903edfcce7f903f29e4e978e59f961411c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ff50ad32170e1e320f5681d806a760373cc5ab76e385ef6bb7726db9833201",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-15T19:00:02Z",
    "title_canon_sha256": "64027d7011b1342e96bd3f41b18111b5cd21fa97db33c861426b6381d5a09cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05708",
    "kind": "arxiv",
    "version": 1
  }
}