Pith Number

pith:MHCJUUDE

pith:2015:MHCJUUDEM6XJOLC2T5EAU7MIMU

not attested not anchored not stored refs pending

Products of Independent Gaussian Random Matrices

J. R. Ipsen

arxiv:1510.06128 v1 · 2015-10-21 · 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{MHCJUUDEM6XJOLC2T5EAU7MIMU}

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	2026-05-18T01:29:37.690194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c49a506467ae972c5a9f480a7d8865331545aa69df0148ed7a5c98b2381b7f

Aliases

arxiv: 1510.06128 · arxiv_version: 1510.06128v1 · doi: 10.48550/arxiv.1510.06128 · pith_short_12: MHCJUUDEM6XJ · pith_short_16: MHCJUUDEM6XJOLC2 · pith_short_8: MHCJUUDE

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/MHCJUUDEM6XJOLC2T5EAU7MIMU \
  | 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: 61c49a506467ae972c5a9f480a7d8865331545aa69df0148ed7a5c98b2381b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b40fb87edeba9971c3c7c387000f015c3e108437ad66273d4a9517f470bf0c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-21T04:21:51Z",
    "title_canon_sha256": "1ef1ad6c641fa518d83221c42eb0529c8b5a4dbb6f8943048169c6d6a37ec458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06128",
    "kind": "arxiv",
    "version": 1
  }
}