Pith Number

pith:TNFXJAA5

pith:2018:TNFXJAA5VBMB7M4YNTTBJH5CRW

not attested not anchored not stored refs pending

Complex Hadamard matrices attached to a 3-class nonsymmetric association scheme

Akihiro Munemasa, Takuya Ikuta

arxiv:1810.08496 v2 · 2018-10-19 · 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{TNFXJAA5VBMB7M4YNTTBJH5CRW}

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	2026-05-17T23:47:48.684736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4b74801da8581fb3986ce6149fa28d96589cc78f66d483e889bab8b21a64f3

Aliases

arxiv: 1810.08496 · arxiv_version: 1810.08496v2 · doi: 10.48550/arxiv.1810.08496 · pith_short_12: TNFXJAA5VBMB · pith_short_16: TNFXJAA5VBMB7M4Y · pith_short_8: TNFXJAA5

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/TNFXJAA5VBMB7M4YNTTBJH5CRW \
  | 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: 9b4b74801da8581fb3986ce6149fa28d96589cc78f66d483e889bab8b21a64f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763cd201fbaa122f4f2047507a89b5597fbf8c79db9244b223d90d53b3064b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-19T13:39:12Z",
    "title_canon_sha256": "5f4c3f69612c43d44db6024cb469bf3461f06140c3369d6da37e46e89b8a0ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08496",
    "kind": "arxiv",
    "version": 2
  }
}