Pith Number

pith:3UBSEEUR

pith:2003:3UBSEEUR2BCRE347X7LNODPA77

not attested not anchored not stored refs pending

Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form

Paul M. Terwilliger

arxiv:math/0304077 v1 · 2003-04-06 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UBSEEUR2BCRE347X7LNODPA77}

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	2026-07-04T14:37:11.883343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd03221291d045126f9fbfd6d70de0ffdd141eb100a5bed6e7250eab23ebfd25

Aliases

arxiv: math/0304077 · arxiv_version: math/0304077v1 · doi: 10.48550/arxiv.math/0304077 · pith_short_12: 3UBSEEUR2BCR · pith_short_16: 3UBSEEUR2BCRE347 · pith_short_8: 3UBSEEUR

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/3UBSEEUR2BCRE347X7LNODPA77 \
  | 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: dd03221291d045126f9fbfd6d70de0ffdd141eb100a5bed6e7250eab23ebfd25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3661f9ccc45b7546eafd66d49eaebdfb87ea8fe6a152509f8ea17ccb10e958b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2003-04-06T01:57:24Z",
    "title_canon_sha256": "55d59fe0d72eae2c63c3ef062becda9a72ff66d81a00edd284b344e6b5638ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304077",
    "kind": "arxiv",
    "version": 1
  }
}