Pith Number

pith:7R6326AL

pith:2024:7R6326ALK5NZPCAGZBHU2Q4LQM

not attested not anchored not stored refs pending

Classification of the Subgroups of the Two-Qubit Clifford Group

Eric Kubischta, Ian Teixeira

arxiv:2409.14624 v1 · 2024-09-22 · quant-ph · math-ph · math.GR · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7R6326ALK5NZPCAGZBHU2Q4LQM}

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	2026-07-05T09:10:19.324077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7dbd780b575b978806c84f4d438b830ed64ecc018107195bdc37d67424607a

Aliases

arxiv: 2409.14624 · arxiv_version: 2409.14624v1 · doi: 10.48550/arxiv.2409.14624 · pith_short_12: 7R6326ALK5NZ · pith_short_16: 7R6326ALK5NZPCAG · pith_short_8: 7R6326AL

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/7R6326ALK5NZPCAGZBHU2Q4LQM \
  | 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: fc7dbd780b575b978806c84f4d438b830ed64ecc018107195bdc37d67424607a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0dd67b2715c68ecb7ef1935249b5a36ab966180901db58aea942d2a049d9d5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-09-22T23:21:55Z",
    "title_canon_sha256": "8ec00a57d7520e7439bd4dec269659c72322d9f5316b3986c55076d96e4ef683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14624",
    "kind": "arxiv",
    "version": 1
  }
}