Pith Number

pith:3BCITZD6

pith:2017:3BCITZD6B3GQAMCQ6KM4YK4B4E

not attested not anchored not stored refs pending

Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4

Akihiro Munemasa, Takuya Ikuta

arxiv:1710.06973 v2 · 2017-10-19 · 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{3BCITZD6B3GQAMCQ6KM4YK4B4E}

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	2026-05-18T00:27:52.089371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84489e47e0ecd003050f299cc2b81e137d63bf81d153f77cccdbc137c50ea87

Aliases

arxiv: 1710.06973 · arxiv_version: 1710.06973v2 · doi: 10.48550/arxiv.1710.06973 · pith_short_12: 3BCITZD6B3GQ · pith_short_16: 3BCITZD6B3GQAMCQ · pith_short_8: 3BCITZD6

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/3BCITZD6B3GQAMCQ6KM4YK4B4E \
  | 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: d84489e47e0ecd003050f299cc2b81e137d63bf81d153f77cccdbc137c50ea87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5136ab04fd2be3326250c141b89b6cef000a4587035d4fa2a028fbfaddd895fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-19T00:49:09Z",
    "title_canon_sha256": "46babeed8e43038b400bd9f2b15748de5692e524148d60c7a1c9568dd1800976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06973",
    "kind": "arxiv",
    "version": 2
  }
}