Pith Number

pith:QGKUBOW4

pith:2013:QGKUBOW4WL6AJMJW6QGQV5VQK3

not attested not anchored not stored refs pending

On permanents of Sylvester Hadamard matrices

Jos\'e Andr\'es Armario

arxiv:1311.2427 v1 · 2013-11-11 · 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{QGKUBOW4WL6AJMJW6QGQV5VQK3}

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	2026-05-18T03:07:32.673150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819540badcb2fc04b136f40d0af6b056f7593ab5a2064003637de2fdcb6f904f

Aliases

arxiv: 1311.2427 · arxiv_version: 1311.2427v1 · doi: 10.48550/arxiv.1311.2427 · pith_short_12: QGKUBOW4WL6A · pith_short_16: QGKUBOW4WL6AJMJW · pith_short_8: QGKUBOW4

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/QGKUBOW4WL6AJMJW6QGQV5VQK3 \
  | 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: 819540badcb2fc04b136f40d0af6b056f7593ab5a2064003637de2fdcb6f904f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baae4eb36bef9e25c21671ca572d188e33122e7eb90149499334ef7abda06b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-11T12:26:57Z",
    "title_canon_sha256": "93f7340aadf53a833bbe35b1f084e27a7fa0b7977cf41028d45f3329c2ef0f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2427",
    "kind": "arxiv",
    "version": 1
  }
}