Pith Number

pith:YIKGOVOH

pith:2026:YIKGOVOHFCOF3LZL2KQV6DGAYB

not attested not anchored not stored refs pending

Circular Hessenberg pairs and the tridiagonal relations

Kazumasa Nomura, Paul Terwilliger

arxiv:2607.05688 v1 · 2026-07-06 · 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{YIKGOVOHFCOF3LZL2KQV6DGAYB}

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	2026-07-08T01:18:41.626774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2146755c7289c5daf2bd2a15f0cc0c052d75ab267f147007d6cdf65ad8d965f

Aliases

arxiv: 2607.05688 · arxiv_version: 2607.05688v1 · doi: 10.48550/arxiv.2607.05688 · pith_short_12: YIKGOVOHFCOF · pith_short_16: YIKGOVOHFCOF3LZL · pith_short_8: YIKGOVOH

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/YIKGOVOHFCOF3LZL2KQV6DGAYB \
  | 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: c2146755c7289c5daf2bd2a15f0cc0c052d75ab267f147007d6cdf65ad8d965f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dea173131d281fa8bc89f4330bb0a79771bc68b5e6206c9ab3dbc2f949579e4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-06T23:15:33Z",
    "title_canon_sha256": "94c450b53b556e21fe026ed0541e12a42e2cece6cc753372f29fd4d631de66c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05688",
    "kind": "arxiv",
    "version": 1
  }
}