pith. sign in
Pith Number

pith:MVWTYZI2

pith:2012:MVWTYZI2SH56GJEAILNF5QWD4B
not attested not anchored not stored refs pending

Finite Geometry Behind the Harvey-Chryssanthacopoulos Four-Qubit Magic Rectangle

Metod Saniga, Michel Planat

arxiv:1204.6229 v2 · 2012-04-27 · quant-ph · math-ph · math.CO · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MVWTYZI2SH56GJEAILNF5QWD4B}

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 2026-05-18T03:49:57.969404Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

656d3c651a91fbe3248042da5ec2c3e04dc00fef3881ca2da739e6fafbd0558a

Aliases

arxiv: 1204.6229 · arxiv_version: 1204.6229v2 · doi: 10.48550/arxiv.1204.6229 · pith_short_12: MVWTYZI2SH56 · pith_short_16: MVWTYZI2SH56GJEA · pith_short_8: MVWTYZI2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MVWTYZI2SH56GJEAILNF5QWD4B \
  | 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: 656d3c651a91fbe3248042da5ec2c3e04dc00fef3881ca2da739e6fafbd0558a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d6c3795ab3a7811814b5d4d93d2270ae8f9c1fed0b577ceaf78126cc912985a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-27T14:40:46Z",
    "title_canon_sha256": "3bb53e05339923c84be2cfca27cfb61da48e84e7a5c5098a2a1130e6aabb5c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6229",
    "kind": "arxiv",
    "version": 2
  }
}