Pith Number

pith:KW3KLYFJ

pith:2014:KW3KLYFJYQBR7ZGFMYQMVEPEVM

not attested not anchored not stored refs pending

Mutually Unbiased Bush-type Hadamard Matrices and Association Schemes

Hadi Kharaghani, Sara Sasani, Sho Suda

arxiv:1412.5297 v1 · 2014-12-17 · 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{KW3KLYFJYQBR7ZGFMYQMVEPEVM}

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	2026-05-18T02:31:03.304717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b6a5e0a9c4031fe4c56620ca91e4ab130b6d6e9f60eb41a06ba1450340a5ca

Aliases

arxiv: 1412.5297 · arxiv_version: 1412.5297v1 · doi: 10.48550/arxiv.1412.5297 · pith_short_12: KW3KLYFJYQBR · pith_short_16: KW3KLYFJYQBR7ZGF · pith_short_8: KW3KLYFJ

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/KW3KLYFJYQBR7ZGFMYQMVEPEVM \
  | 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: 55b6a5e0a9c4031fe4c56620ca91e4ab130b6d6e9f60eb41a06ba1450340a5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5910c6703d98591c3954c7a3c0ec89af6c0d363ef89c215a138aa073ca8ea25d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-17T09:26:00Z",
    "title_canon_sha256": "159230b791b7b7da362cfcbe2a0e70357d7a97a3b4ff4c4e7645f5ca8e25c5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5297",
    "kind": "arxiv",
    "version": 1
  }
}