Pith Number

pith:LZNVLAUA

pith:2013:LZNVLAUAKG6OVYYBA7FUJZO6UT

not attested not anchored not stored refs pending

Counting Spectral Radii of Matrices with Positive Entries

J. A. Dias da Silva, Pedro J. Freitas

arxiv:1305.1139 v1 · 2013-05-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZNVLAUAKG6OVYYBA7FUJZO6UT}

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	2026-05-18T03:26:24.023855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5b55828051bceae30107cb44e5dea4f97c2d65905bb641f1467981333f5548

Aliases

arxiv: 1305.1139 · arxiv_version: 1305.1139v1 · doi: 10.48550/arxiv.1305.1139 · pith_short_12: LZNVLAUAKG6O · pith_short_16: LZNVLAUAKG6OVYYB · pith_short_8: LZNVLAUA

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/LZNVLAUAKG6OVYYBA7FUJZO6UT \
  | 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: 5e5b55828051bceae30107cb44e5dea4f97c2d65905bb641f1467981333f5548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b406c80c488dc01ac91004753201801e862f245721ac83bff691faadd51e2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-06T10:26:40Z",
    "title_canon_sha256": "df3ce1788c8745e17871d6db78063638dbd3d71b09b89236818cc9304abadc4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1139",
    "kind": "arxiv",
    "version": 1
  }
}