Pith Number

pith:3M4U5PVY

pith:2005:3M4U5PVYC7UA4HTXB6TQNQXXO6

not attested not anchored not stored refs pending

Permutation Equivalence Classes of Kronecker Products of Unitary Fourier Matrices

Wojciech Tadej

arxiv:math/0501233 v1 · 2005-01-14 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M4U5PVYC7UA4HTXB6TQNQXXO6}

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	2026-05-18T04:35:06.109668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db394ebeb817e80e1e770fa706c2f777be1227789c6186a99436c00e419ddd93

Aliases

arxiv: math/0501233 · arxiv_version: math/0501233v1 · doi: 10.48550/arxiv.math/0501233 · pith_short_12: 3M4U5PVYC7UA · pith_short_16: 3M4U5PVYC7UA4HTX · pith_short_8: 3M4U5PVY

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/3M4U5PVYC7UA4HTXB6TQNQXXO6 \
  | 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: db394ebeb817e80e1e770fa706c2f777be1227789c6186a99436c00e419ddd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b78438420a820c34d8ec9436de504fd001f697220f134cc99aa7613685943d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-01-14T21:40:59Z",
    "title_canon_sha256": "97b36c5eb4862788629efb7a7a8f13450b4adbd88ed2f564717beba96b84b9fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501233",
    "kind": "arxiv",
    "version": 1
  }
}