Pith Number

pith:OD5ZCHFP

pith:2012:OD5ZCHFPUAZKHGCD4SBF2FNAES

not attested not anchored not stored refs pending

Real and complex unbiased Hadamard matrices

Imre Z. Ruzsa, Mate Matolcsi, Mihaly Weiner

arxiv:1201.0631 v1 · 2012-01-03 · 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{OD5ZCHFPUAZKHGCD4SBF2FNAES}

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	2026-05-18T04:05:17.037702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fb911cafa032a39843e4825d15a024ac7cd2dad724594d7f1ac1af2c5fd3ea

Aliases

arxiv: 1201.0631 · arxiv_version: 1201.0631v1 · doi: 10.48550/arxiv.1201.0631 · pith_short_12: OD5ZCHFPUAZK · pith_short_16: OD5ZCHFPUAZKHGCD · pith_short_8: OD5ZCHFP

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/OD5ZCHFPUAZKHGCD4SBF2FNAES \
  | 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: 70fb911cafa032a39843e4825d15a024ac7cd2dad724594d7f1ac1af2c5fd3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6418325c164e3f634082b564d44c6f6c7ae58d4d2f3d7380cb5bb25d340f98a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-03T13:53:26Z",
    "title_canon_sha256": "001514ccf3375aa3016b9ab9cab75c3cd34168466c162b465134ff6fc8986f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0631",
    "kind": "arxiv",
    "version": 1
  }
}