Pith Number

pith:QT4TMPDU

pith:2014:QT4TMPDUWD5KFW5OU7BVZ5CWLN

not attested not anchored not stored refs pending

Uniqueness of Butson Hadamard matrices of small degrees

Hirasaka Mitsugu, Kyoung-Tark Kim, Yoshihiro Mizoguchi

arxiv:1402.6807 v1 · 2014-02-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QT4TMPDUWD5KFW5OU7BVZ5CWLN}

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	2026-05-18T02:57:36.971373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f9363c74b0faa2dbaea7c35cf4565b628f39580f5346349662d03b225bbf0e

Aliases

arxiv: 1402.6807 · arxiv_version: 1402.6807v1 · doi: 10.48550/arxiv.1402.6807 · pith_short_12: QT4TMPDUWD5K · pith_short_16: QT4TMPDUWD5KFW5O · pith_short_8: QT4TMPDU

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/QT4TMPDUWD5KFW5OU7BVZ5CWLN \
  | 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: 84f9363c74b0faa2dbaea7c35cf4565b628f39580f5346349662d03b225bbf0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47a4c1293c2d723891bfe46643eac80b77edb051ce902cb0473741ac54ffe8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-27T07:07:21Z",
    "title_canon_sha256": "1041c29f7383a951b4a9a1b0a3d1fe5d5f67f2b6ef509db8a5374e5e1f42ae1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6807",
    "kind": "arxiv",
    "version": 1
  }
}