Pith Number

pith:PVVFNDSS

pith:2012:PVVFNDSSCIXIJPRG5QO3ILKXH3

not attested not anchored not stored refs pending

Unbiased complex Hadamard matrices and bases

Darcy Best, Hadi Kharaghani

arxiv:1209.4315 v1 · 2012-09-19 · 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{PVVFNDSSCIXIJPRG5QO3ILKXH3}

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	2026-05-18T03:45:12.895736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6a568e52122e84be26ec1db42d573efb7e7f09c1884f2c859ae28e1711162d

Aliases

arxiv: 1209.4315 · arxiv_version: 1209.4315v1 · doi: 10.48550/arxiv.1209.4315 · pith_short_12: PVVFNDSSCIXI · pith_short_16: PVVFNDSSCIXIJPRG · pith_short_8: PVVFNDSS

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/PVVFNDSSCIXIJPRG5QO3ILKXH3 \
  | 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: 7d6a568e52122e84be26ec1db42d573efb7e7f09c1884f2c859ae28e1711162d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949398bd58a7eb3c595008900987e808879e10b26b9cecb358fc7f0f9db390e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-19T17:42:31Z",
    "title_canon_sha256": "62a7d81b4e4f9144eab410ff3c26897c0351257f9adee96adcf971192b430480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4315",
    "kind": "arxiv",
    "version": 1
  }
}