Pith Number

pith:2JXNNFLK

pith:2004:2JXNNFLKRGSUN33SJNYC6YVTLF

not attested not anchored not stored refs pending

Leonard pairs from 24 points of view

Paul Terwilliger

arxiv:math/0406577 v1 · 2004-06-28 · math.RA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JXNNFLKRGSUN33SJNYC6YVTLF}

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.

Cited by

1 paper in Pith

Circular Hessenberg pairs and the tridiagonal relations

Receipt and verification

First computed	2026-07-04T14:38:52.387666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26ed6956a89a546ef724b702f62b35953a40c7d4b7a607f131b9927a2544f9d

Aliases

arxiv: math/0406577 · arxiv_version: math/0406577v1 · doi: 10.48550/arxiv.math/0406577 · pith_short_12: 2JXNNFLKRGSU · pith_short_16: 2JXNNFLKRGSUN33S · pith_short_8: 2JXNNFLK

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/2JXNNFLKRGSUN33SJNYC6YVTLF \
  | 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: d26ed6956a89a546ef724b702f62b35953a40c7d4b7a607f131b9927a2544f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39f576f56c2314caa5684b9a0d5c2bd25b1db087001dc67ffa4dd06e520e3a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-06-28T16:12:02Z",
    "title_canon_sha256": "b0a9f90118f64ff4cf9bbdfc69c23f190d1878d9bda5e710cc158493e982ab6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406577",
    "kind": "arxiv",
    "version": 1
  }
}