Pith Number

pith:ZMFE5L3R

pith:2003:ZMFE5L3R5GPZEXM6J5K77FDCDP

not attested not anchored not stored refs pending

Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array

Paul Terwilliger

arxiv:math/0306291 v1 · 2003-06-19 · math.RA · math-ph · math.CO · math.MP · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMFE5L3R5GPZEXM6J5K77FDCDP}

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	2026-07-04T14:37:32.310285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0a4eaf71e99f925d9e4f55ff94621bf6fd33711735af27ea7938c7cef3dae8

Aliases

arxiv: math/0306291 · arxiv_version: math/0306291v1 · doi: 10.48550/arxiv.math/0306291 · pith_short_12: ZMFE5L3R5GPZ · pith_short_16: ZMFE5L3R5GPZEXM6 · pith_short_8: ZMFE5L3R

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/ZMFE5L3R5GPZEXM6J5K77FDCDP \
  | 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: cb0a4eaf71e99f925d9e4f55ff94621bf6fd33711735af27ea7938c7cef3dae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c3cdf05c005c299d5ea2a9fefb47f758b0ab06af2646bbd16f5c74f9fd38fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2003-06-19T17:33:40Z",
    "title_canon_sha256": "3317ad427bfb21e862e110a0cd991a42e0ed05a714b215bece750afe479e24c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306291",
    "kind": "arxiv",
    "version": 1
  }
}