Pith Number

pith:VYYBGPQE

pith:2018:VYYBGPQEWWEHBR5BMFDW6ZNU36

not attested not anchored not stored refs pending

Hadamard full propelinear codes with associated group $C_{2t}\times C_2$; rank and kernel

Ivan Bailera, Joaquim Borges, Josep Rif\`a

arxiv:1808.08747 v3 · 2018-08-27 · 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{VYYBGPQEWWEHBR5BMFDW6ZNU36}

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	2026-05-17T23:53:50.913736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae30133e04b58870c7a161476f65b4df99008b25419cb281a377e261d6e4efe4

Aliases

arxiv: 1808.08747 · arxiv_version: 1808.08747v3 · doi: 10.48550/arxiv.1808.08747 · pith_short_12: VYYBGPQEWWEH · pith_short_16: VYYBGPQEWWEHBR5B · pith_short_8: VYYBGPQE

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/VYYBGPQEWWEHBR5BMFDW6ZNU36 \
  | 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: ae30133e04b58870c7a161476f65b4df99008b25419cb281a377e261d6e4efe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247c812c96a200fddc0d6f93cbcdef0a3ad999bf704f69fb72f44e3af5e7e4b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-27T09:13:08Z",
    "title_canon_sha256": "a01e2ed44a7a16fca13f2b1abe98e0d94173af3e242ce5bd03c54169d4dca3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08747",
    "kind": "arxiv",
    "version": 3
  }
}