Pith Number

pith:3FHV3MBQ

pith:2012:3FHV3MBQ2LYRRMWL5BGYDNAJYW

not attested not anchored not stored refs pending

The quaternary complex Hadamard matrices of orders 10, 12, and 14

Ferenc Sz\"oll\H{o}si, Patric R. J. \"Osterg{\aa}rd, Pekka H. J. Lampio

arxiv:1204.5164 v1 · 2012-04-23 · 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{3FHV3MBQ2LYRRMWL5BGYDNAJYW}

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	2026-05-18T03:57:14.568438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94f5db030d2f118b2cbe84d81b409c5bf76333825402ee59dae4893b9b62efd

Aliases

arxiv: 1204.5164 · arxiv_version: 1204.5164v1 · doi: 10.48550/arxiv.1204.5164 · pith_short_12: 3FHV3MBQ2LYR · pith_short_16: 3FHV3MBQ2LYRRMWL · pith_short_8: 3FHV3MBQ

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/3FHV3MBQ2LYRRMWL5BGYDNAJYW \
  | 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: d94f5db030d2f118b2cbe84d81b409c5bf76333825402ee59dae4893b9b62efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca46c264ecf4e776fb51f9fe7e5268e2243ded70127477b7fdc10b41a4f03909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-23T19:51:41Z",
    "title_canon_sha256": "5241211c6ed72335376fcec3687d86f95b88e99dbf0c9d9680b0e4908ec7910f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5164",
    "kind": "arxiv",
    "version": 1
  }
}