Pith Number

pith:W5NGVTYU

pith:2015:W5NGVTYUD5KUFJGXSB2VQ74CNF

not attested not anchored not stored refs pending

Ranks and Kernels of Codes from Generalized Hadamard Matrices

Josep Rif\`a, Merc\`e Villanueva, Steven T. Dougherty

arxiv:1506.08961 v1 · 2015-06-30 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5NGVTYUD5KUFJGXSB2VQ74CNF}

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	2026-05-18T00:59:01.694966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75a6acf141f5542a4d79075587f826963637df7c862ff7e59807c3f2f271ac9

Aliases

arxiv: 1506.08961 · arxiv_version: 1506.08961v1 · doi: 10.48550/arxiv.1506.08961 · pith_short_12: W5NGVTYUD5KU · pith_short_16: W5NGVTYUD5KUFJGX · pith_short_8: W5NGVTYU

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/W5NGVTYUD5KUFJGXSB2VQ74CNF \
  | 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: b75a6acf141f5542a4d79075587f826963637df7c862ff7e59807c3f2f271ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163e4dfb6d4f4f683cbb341c0d766fed320e40427c63f92019f210737c88063f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-30T06:54:45Z",
    "title_canon_sha256": "fdc44144b3a7751d4fa4aec64c839d826d61305c0c4a6855b3a5dead43fb7629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08961",
    "kind": "arxiv",
    "version": 1
  }
}