Pith Number

pith:WIXVOVND

pith:2012:WIXVOVND3XGEQKL4JBOVI6DDNL

not attested not anchored not stored refs pending

Families of complex Hadamard matrices

Ingemar Bengtsson, Nuno Barros e Sa

arxiv:1202.1181 v2 · 2012-02-06 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIXVOVND3XGEQKL4JBOVI6DDNL}

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	2026-05-18T03:30:55.534496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22f5755a3ddcc48297c485d5478636ae7d6a82b459ec19ebba533e7a7b2fb17

Aliases

arxiv: 1202.1181 · arxiv_version: 1202.1181v2 · doi: 10.48550/arxiv.1202.1181 · pith_short_12: WIXVOVND3XGE · pith_short_16: WIXVOVND3XGEQKL4 · pith_short_8: WIXVOVND

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/WIXVOVND3XGEQKL4JBOVI6DDNL \
  | 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: b22f5755a3ddcc48297c485d5478636ae7d6a82b459ec19ebba533e7a7b2fb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2c8ba0a6d33b946d9da47d3b3aae256a58307cddac1733848e4fdb92404b03",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-06T15:51:41Z",
    "title_canon_sha256": "1b69d7a61105c908d8c57bc8551b8a75451d15c229c6e401c5b8dcf44c641aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1181",
    "kind": "arxiv",
    "version": 2
  }
}