Pith Number

pith:PY44N3OV

pith:2004:PY44N3OVZVKOSNRUCF6LYAX2EX

not attested not anchored not stored refs pending

Two linear transformations each tridiagonal with respect to an eigenbasis of the other

Paul Terwilliger

arxiv:math/0406555 v1 · 2004-06-27 · 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{PY44N3OVZVKOSNRUCF6LYAX2EX}

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	2026-07-04T14:38:52.122033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e39c6edd5cd54e93634117cbc02fa25d7e7f5796e48946d340721fb94a7e3b2

Aliases

arxiv: math/0406555 · arxiv_version: math/0406555v1 · doi: 10.48550/arxiv.math/0406555 · pith_short_12: PY44N3OVZVKO · pith_short_16: PY44N3OVZVKOSNRU · pith_short_8: PY44N3OV

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/PY44N3OVZVKOSNRUCF6LYAX2EX \
  | 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: 7e39c6edd5cd54e93634117cbc02fa25d7e7f5796e48946d340721fb94a7e3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a363a6446a39330034deba836281b5ab35575df8d25ffb97ed5ad2b22dc05791",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-06-27T20:31:45Z",
    "title_canon_sha256": "38edae53f336960920ac834e04945de6c0bdc6a35c6e2058247b2c2009fc6eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406555",
    "kind": "arxiv",
    "version": 1
  }
}