Pith Number

pith:ZOT22ZNI

pith:2019:ZOT22ZNIBW7LMPLH4SEAH35YP4

not attested not anchored not stored refs pending

On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials

Martin Gebert, Mihail Poplavskyi

arxiv:1905.03154 v1 · 2019-05-08 · math.PR · math-ph · math.FA · 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{ZOT22ZNIBW7LMPLH4SEAH35YP4}

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	2026-05-17T23:46:42.713420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba7ad65a80dbeb63d67e48803efb87f1781b6399661a7fd93712ca7bf8dfcb6

Aliases

arxiv: 1905.03154 · arxiv_version: 1905.03154v1 · doi: 10.48550/arxiv.1905.03154 · pith_short_12: ZOT22ZNIBW7L · pith_short_16: ZOT22ZNIBW7LMPLH · pith_short_8: ZOT22ZNI

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/ZOT22ZNIBW7LMPLH4SEAH35YP4 \
  | 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: cba7ad65a80dbeb63d67e48803efb87f1781b6399661a7fd93712ca7bf8dfcb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34327ab022d1c0c331bf0ad141a568d38661d4c14fea8a2b3662d0e8c25a395e",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-08T15:32:24Z",
    "title_canon_sha256": "50e2ffdcc0ab1570f23996cd87528b90131aac107e662e44263024c5472f6a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03154",
    "kind": "arxiv",
    "version": 1
  }
}