Pith Number

pith:3XFRBCYX

pith:2019:3XFRBCYX74AI4BGULL6C6APFFD

not attested not anchored not stored refs pending

A new family of Hadamard matrices of order $4(2q^2+1)$

Ka Hin Leung, Koji Momihara, Qing Xiang

arxiv:1907.02623 v1 · 2019-07-04 · 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{3XFRBCYX74AI4BGULL6C6APFFD}

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	2026-05-17T23:41:23.737048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcb108b17ff008e04d45afc2f01e528f920eea4a2ce18d47ca04c57c763a869

Aliases

arxiv: 1907.02623 · arxiv_version: 1907.02623v1 · doi: 10.48550/arxiv.1907.02623 · pith_short_12: 3XFRBCYX74AI · pith_short_16: 3XFRBCYX74AI4BGU · pith_short_8: 3XFRBCYX

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/3XFRBCYX74AI4BGULL6C6APFFD \
  | 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: ddcb108b17ff008e04d45afc2f01e528f920eea4a2ce18d47ca04c57c763a869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6596ba26aabc703a896bc9ac1dc4301066c82beb70cc13c2dba632dc7a7245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-04T23:58:47Z",
    "title_canon_sha256": "cb19bc44e47ac6d5b6f81f855b9e33b2cefa50dd79e886fe0a42e79223ab1d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02623",
    "kind": "arxiv",
    "version": 1
  }
}