Pith Number

pith:37BRGH2P

pith:2011:37BRGH2P5IXAIZWFV3NDR26SQ7

not attested not anchored not stored refs pending

Complex Hadamard matrices and Equiangular Tight Frames

Ferenc Sz\"oll\H{o}si

arxiv:1104.2940 v1 · 2011-04-14 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37BRGH2P5IXAIZWFV3NDR26SQ7}

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	2026-05-18T04:24:04.661205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc3131f4fea2e0466c5aeda38ebd287da735aee8bbc9e07e09401c5c6e3e619

Aliases

arxiv: 1104.2940 · arxiv_version: 1104.2940v1 · doi: 10.48550/arxiv.1104.2940 · pith_short_12: 37BRGH2P5IXA · pith_short_16: 37BRGH2P5IXAIZWF · pith_short_8: 37BRGH2P

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/37BRGH2P5IXAIZWFV3NDR26SQ7 \
  | 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: dfc3131f4fea2e0466c5aeda38ebd287da735aee8bbc9e07e09401c5c6e3e619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62495ea4e4436a92b1b30a83c7fe253c8fd2613a2abd07d0b8ed50d8f619b81c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-14T22:47:27Z",
    "title_canon_sha256": "8b88b5b422d7bdbf2ed9db089da71735256e0fb1e67b2300d86295d0a79563db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2940",
    "kind": "arxiv",
    "version": 1
  }
}