Pith Number

pith:NW6D43G6

pith:2017:NW6D43G66MXNXMAPRXGW7IHI7P

not attested not anchored not stored refs pending

On a class of quaternary complex Hadamard matrices

Hadi Kharaghani, Kai Fender, Sho Suda

arxiv:1709.02873 v1 · 2017-09-08 · 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{NW6D43G66MXNXMAPRXGW7IHI7P}

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	2026-05-18T00:35:40.267010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbc3e6cdef32edbb00f8dcd6fa0e8fbe5eb66bf9aefe3e0ebbdf831a9edc7b6

Aliases

arxiv: 1709.02873 · arxiv_version: 1709.02873v1 · doi: 10.48550/arxiv.1709.02873 · pith_short_12: NW6D43G66MXN · pith_short_16: NW6D43G66MXNXMAP · pith_short_8: NW6D43G6

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/NW6D43G66MXNXMAPRXGW7IHI7P \
  | 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: 6dbc3e6cdef32edbb00f8dcd6fa0e8fbe5eb66bf9aefe3e0ebbdf831a9edc7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614aa0793a88d2580ae3f549da042a442a70fea23fe7cc87eed38905fd9beace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-08T22:43:14Z",
    "title_canon_sha256": "fe59b77cebe76c1644c8e5e170815214fce46652d966d1030e9ee108341969db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02873",
    "kind": "arxiv",
    "version": 1
  }
}