Pith Number

pith:ORWHDZIM

pith:2012:ORWHDZIMT3WFXRXFE4EU4X4A5H

not attested not anchored not stored refs pending

On quaternary complex Hadamard matrices of small orders

Ferenc Sz\"oll\H{o}si

arxiv:1204.5160 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{ORWHDZIMT3WFXRXFE4EU4X4A5H}

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	2026-05-18T03:57:14.577856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746c71e50c9eec5bc6e527094e5f80e9d1074ae01cd56b916d93861c6d27cc86

Aliases

arxiv: 1204.5160 · arxiv_version: 1204.5160v1 · doi: 10.48550/arxiv.1204.5160 · pith_short_12: ORWHDZIMT3WF · pith_short_16: ORWHDZIMT3WFXRXF · pith_short_8: ORWHDZIM

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/ORWHDZIMT3WFXRXFE4EU4X4A5H \
  | 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: 746c71e50c9eec5bc6e527094e5f80e9d1074ae01cd56b916d93861c6d27cc86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c504423e97f6e147faff09e4a17c119ed8bce17412359e3f5f527d11b62b0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-23T19:45:26Z",
    "title_canon_sha256": "d7cce0f650d54cce0064a78ce3bfc93986787dc1cfebfb13fdd76c9e79333c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5160",
    "kind": "arxiv",
    "version": 1
  }
}