Pith Number

pith:NFCNKLSY

pith:2026:NFCNKLSYZJCPWK5JGWJNND5QJC

not attested not anchored not stored refs pending

Variations on a circular Hessenberg pair

Kazumasa Nomura, Paul Terwilliger

arxiv:2607.16964 v1 · 2026-07-18 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFCNKLSYZJCPWK5JGWJNND5QJC}

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	2026-07-21T01:21:08.439006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6944d52e58ca44fb2ba93592d68fb04890520c666813797ce92ec82a4c68bbe3

Aliases

arxiv: 2607.16964 · arxiv_version: 2607.16964v1 · doi: 10.48550/arxiv.2607.16964 · pith_short_12: NFCNKLSYZJCP · pith_short_16: NFCNKLSYZJCPWK5J · pith_short_8: NFCNKLSY

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/NFCNKLSYZJCPWK5JGWJNND5QJC \
  | 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: 6944d52e58ca44fb2ba93592d68fb04890520c666813797ce92ec82a4c68bbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7763f7948db9afd86d2f7970e2581687a836e32c2b188a374280c41001759745",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-18T20:54:35Z",
    "title_canon_sha256": "f74a763a16b1d61498056afce64251e5bb19f2757753bb6c94e954aa669a927c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16964",
    "kind": "arxiv",
    "version": 1
  }
}