Pith Number

pith:GO7PVJQ4

pith:2017:GO7PVJQ4XXF6AWIIGJWB5PNRY3

not attested not anchored not stored refs pending

New families of Hadamard matrices with maximum excess

Koji Momihara, Mitsugu Hirasaka, Sho Suda

arxiv:1712.08984 v1 · 2017-12-25 · 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{GO7PVJQ4XXF6AWIIGJWB5PNRY3}

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	2026-05-18T00:27:14.675503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33befaa61cbdcbe05908326c1ebdb1c6da4bd1901004aa4bbf9898e828f5e01b

Aliases

arxiv: 1712.08984 · arxiv_version: 1712.08984v1 · doi: 10.48550/arxiv.1712.08984 · pith_short_12: GO7PVJQ4XXF6 · pith_short_16: GO7PVJQ4XXF6AWII · pith_short_8: GO7PVJQ4

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/GO7PVJQ4XXF6AWIIGJWB5PNRY3 \
  | 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: 33befaa61cbdcbe05908326c1ebdb1c6da4bd1901004aa4bbf9898e828f5e01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "832da328fe33349a4fe5e332ad9daae1868f51827776aa9420c09ff939d87505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-25T01:41:52Z",
    "title_canon_sha256": "b92ac8aec3ba88ad90d9ba873b430cc79f774c610d1ed391bb148ad66b93092f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08984",
    "kind": "arxiv",
    "version": 1
  }
}