Pith Number

pith:7YJBG7OJ

pith:2026:7YJBG7OJ4NCCA5TPTVPRRH7E65

not attested not anchored not stored refs pending

Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors

Charles Johnson, Susana Furtado

arxiv:2605.16267 v1 · 2026-03-30 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YJBG7OJ4NCCA5TPTVPRRH7E65}

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	2026-05-20T00:02:14.186146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe12137dc9e34420766f9d5f189fe4f74b759c2200e2cc06dafb3145a4c03ea2

Aliases

arxiv: 2605.16267 · arxiv_version: 2605.16267v1 · doi: 10.48550/arxiv.2605.16267 · pith_short_12: 7YJBG7OJ4NCC · pith_short_16: 7YJBG7OJ4NCCA5TP · pith_short_8: 7YJBG7OJ

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/7YJBG7OJ4NCCA5TPTVPRRH7E65 \
  | 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: fe12137dc9e34420766f9d5f189fe4f74b759c2200e2cc06dafb3145a4c03ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7013c6f82da1b2c24305ac9f76c93b5f4abf08eac6e1925ddbceaea15e57128f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-30T17:39:29Z",
    "title_canon_sha256": "6ce0b9e212eac0f92bb266d19dadc198c8a92652524ea75b6d3537403dd0ddba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16267",
    "kind": "arxiv",
    "version": 1
  }
}