Pith Number

pith:NLA3IGYI

pith:2013:NLA3IGYIYZ56KUC6NITIO37NTT

not attested not anchored not stored refs pending

Regularity questions for complex Hadamard matrices

Lorenzo Pittau, Teodor Banica

arxiv:1307.4712 v4 · 2013-07-17 · 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{NLA3IGYIYZ56KUC6NITIO37NTT}

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	2026-05-18T00:43:03.430486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac1b41b08c67be5505e6a26876fed9cdcb07a1e72e683945e5b20bc9a022dbe

Aliases

arxiv: 1307.4712 · arxiv_version: 1307.4712v4 · doi: 10.48550/arxiv.1307.4712 · pith_short_12: NLA3IGYIYZ56 · pith_short_16: NLA3IGYIYZ56KUC6 · pith_short_8: NLA3IGYI

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/NLA3IGYIYZ56KUC6NITIO37NTT \
  | 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: 6ac1b41b08c67be5505e6a26876fed9cdcb07a1e72e683945e5b20bc9a022dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc05091211dc029a6b696c56b58af59b21a902d8930d702b9f4e9025d2906911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-17T18:09:14Z",
    "title_canon_sha256": "cdf6b5f50e9311d3180c518cce2b853dd5d8b6b0a4997055fd1b724c151d8216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4712",
    "kind": "arxiv",
    "version": 4
  }
}