Pith Number

pith:CQ2X5BP7

pith:2003:CQ2X5BP7KSFOLDKLGNBD7RFYWS

not attested not anchored not stored refs pending

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

Paul Terwilliger

arxiv:math/0306290 v1 · 2003-06-19 · math.RA · 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{CQ2X5BP7KSFOLDKLGNBD7RFYWS}

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	2026-07-04T14:37:32.287664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14357e85ff548ae58d4b33423fc4b8b485d8364d74b4c8652aa883f8b7e1d2b5

Aliases

arxiv: math/0306290 · arxiv_version: math/0306290v1 · doi: 10.48550/arxiv.math/0306290 · pith_short_12: CQ2X5BP7KSFO · pith_short_16: CQ2X5BP7KSFOLDKL · pith_short_8: CQ2X5BP7

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/CQ2X5BP7KSFOLDKLGNBD7RFYWS \
  | 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: 14357e85ff548ae58d4b33423fc4b8b485d8364d74b4c8652aa883f8b7e1d2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e966d81f04c75d17ef35b72145ce842d6ebd98cbdf9dee5a52593d1d8b850234",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2003-06-19T16:40:50Z",
    "title_canon_sha256": "dd745c3994e48b9ea90c3a10f40d7bc58c8fc5e00cacbe633ba9a31ad0378ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306290",
    "kind": "arxiv",
    "version": 1
  }
}