Pith Number

pith:3OXRKS4S

pith:2017:3OXRKS4SCPJENGQPYZR5RJZOVV

not attested not anchored not stored refs pending

Location of the spectrum of Kronecker random matrices

Johannes Alt, Laszlo Erdos, Torben Kr\"uger, Yuriy Nemish

arxiv:1706.08343 v3 · 2017-06-26 · math.PR · 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{3OXRKS4SCPJENGQPYZR5RJZOVV}

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	2026-05-18T00:22:39.784092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbaf154b9213d2469a0fc663d8a72ead7acabe942f3ac8915afbf3b1ad498c05

Aliases

arxiv: 1706.08343 · arxiv_version: 1706.08343v3 · doi: 10.48550/arxiv.1706.08343 · pith_short_12: 3OXRKS4SCPJE · pith_short_16: 3OXRKS4SCPJENGQP · pith_short_8: 3OXRKS4S

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/3OXRKS4SCPJENGQPYZR5RJZOVV \
  | 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: dbaf154b9213d2469a0fc663d8a72ead7acabe942f3ac8915afbf3b1ad498c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67ffb61282c0f1c97f72fa1b0305102b893312f4b7d700a22cc41b36c2d8412",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-26T12:40:13Z",
    "title_canon_sha256": "0f4cc82fc769c566f6859f85fa0c69c1b9f2aa3d966ad92882a330d72b10ae1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08343",
    "kind": "arxiv",
    "version": 3
  }
}