Pith Number

pith:DRPKGQJR

pith:2013:DRPKGQJRZ6XUF4EUG56S5NFMMZ

not attested not anchored not stored refs pending

The spread of the spectrum of a nonnegative matrix with a zero diagonal element

Roman Drnov\v{s}ek

arxiv:1307.0964 v1 · 2013-07-03 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRPKGQJRZ6XUF4EUG56S5NFMMZ}

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	2026-05-18T03:05:18.316146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5ea34131cfaf42f094377d2eb4ac666dd208fc6b5b5b514b326be62b5b7318

Aliases

arxiv: 1307.0964 · arxiv_version: 1307.0964v1 · doi: 10.48550/arxiv.1307.0964 · pith_short_12: DRPKGQJRZ6XU · pith_short_16: DRPKGQJRZ6XUF4EU · pith_short_8: DRPKGQJR

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/DRPKGQJRZ6XUF4EUG56S5NFMMZ \
  | 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: 1c5ea34131cfaf42f094377d2eb4ac666dd208fc6b5b5b514b326be62b5b7318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ead3ba77eecb945606a0e749132be30e9c3ff70bd15e0952cbb8c85d1ee3ce",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-03T10:51:47Z",
    "title_canon_sha256": "46201104529e5c2d0ee8693e5566a8b0f732bf0ab8bcc72310d9b5db8b0befbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0964",
    "kind": "arxiv",
    "version": 1
  }
}