Pith Number

pith:4KUI7QKX

pith:2013:4KUI7QKXJOW2ZAO6QPLB3KHN4C

not attested not anchored not stored refs pending

Complex Hadamard Matrices, Instantaneous Uniform Mixing and Cubes

Ada Chan

arxiv:1305.5811 v1 · 2013-05-24 · 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{4KUI7QKXJOW2ZAO6QPLB3KHN4C}

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.

Cited by

1 paper in Pith

Fractional Revival and Association Schemes

Receipt and verification

First computed	2026-05-18T03:24:54.743353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a88fc1574badac81de83d61da8ede0b1c11d7e3b881e51d31edde6be6e8b48

Aliases

arxiv: 1305.5811 · arxiv_version: 1305.5811v1 · doi: 10.48550/arxiv.1305.5811 · pith_short_12: 4KUI7QKXJOW2 · pith_short_16: 4KUI7QKXJOW2ZAO6 · pith_short_8: 4KUI7QKX

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/4KUI7QKXJOW2ZAO6QPLB3KHN4C \
  | 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: e2a88fc1574badac81de83d61da8ede0b1c11d7e3b881e51d31edde6be6e8b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcb315c413337a498ca6bf94dab699889211a815990c43338a9f7093b91efaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-24T17:44:44Z",
    "title_canon_sha256": "a0d33089d527e7f5c15a56c8eadb0d9b7f7c0790f9b1f40fdb421f024600a537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5811",
    "kind": "arxiv",
    "version": 1
  }
}