Pith Number

pith:FBJOPRBL

pith:2011:FBJOPRBLPY245Q4AOIS5UA62CQ

not attested not anchored not stored refs pending

On $\mathbb{Z}_t \times \mathbb{Z}_2^2$-cocyclic Hadamard matrices

Felix Gudiel, Maria Belen Guemes, Victor Alvarez

arxiv:1112.4296 v2 · 2011-12-19 · 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{FBJOPRBLPY245Q4AOIS5UA62CQ}

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	2026-05-18T02:50:10.855201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2852e7c42b7e35cec3807225da03da1414e16bc8d0cd435dcd90744c600bd17f

Aliases

arxiv: 1112.4296 · arxiv_version: 1112.4296v2 · doi: 10.48550/arxiv.1112.4296 · pith_short_12: FBJOPRBLPY24 · pith_short_16: FBJOPRBLPY245Q4A · pith_short_8: FBJOPRBL

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/FBJOPRBLPY245Q4AOIS5UA62CQ \
  | 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: 2852e7c42b7e35cec3807225da03da1414e16bc8d0cd435dcd90744c600bd17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414d76ca166bb63624d8c55f84fa792a85c8f73ae8c3b0ac28b2ad46e1d108b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-19T10:52:26Z",
    "title_canon_sha256": "a0b1e45a3d275684780954086b2743bcd87dfdb6363e91cdbd443bf9d8a275dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4296",
    "kind": "arxiv",
    "version": 2
  }
}