Pith Number

pith:DRFP6OKO

pith:2017:DRFP6OKOR3KOREIQZYCSXDLFJ2

not attested not anchored not stored refs pending

Circulant q-Butson Hadamard matrices

Joseph Kraisler, Trevor Hyde

arxiv:1701.08871 v2 · 2017-01-30 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRFP6OKOR3KOREIQZYCSXDLFJ2}

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	2026-05-18T00:48:41.839041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4aff394e8ed4e89110ce052b8d654ebcf5d6233cbe1a519896b10bdc3ade69

Aliases

arxiv: 1701.08871 · arxiv_version: 1701.08871v2 · doi: 10.48550/arxiv.1701.08871 · pith_short_12: DRFP6OKOR3KO · pith_short_16: DRFP6OKOR3KOREIQ · pith_short_8: DRFP6OKO

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/DRFP6OKOR3KOREIQZYCSXDLFJ2 \
  | 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: 1c4aff394e8ed4e89110ce052b8d654ebcf5d6233cbe1a519896b10bdc3ade69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6598635ce93e942acdee1059793023d9b368b10bdc67eb077cc59d8a22caa680",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-30T23:06:39Z",
    "title_canon_sha256": "5d775fa5490b895218087a6885a21e2b53206591f0e2f1f88344e125a2d8c6f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08871",
    "kind": "arxiv",
    "version": 2
  }
}