Pith Number

pith:ZPKQ4GA7

pith:2026:ZPKQ4GA7UVJ6SDHKBGLAYH24L6

not attested not anchored not stored refs pending

Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory

Andrew Nemec, David W. Kribs, Jonas Eidesen

arxiv:2606.02531 v1 · 2026-06-01 · quant-ph · math.OA · 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{ZPKQ4GA7UVJ6SDHKBGLAYH24L6}

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	2026-06-02T03:05:08.761486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd50e181fa553e90cea09960c1f5c5f8f8c22d5f9b86ef249f6ceaa677e94f9

Aliases

arxiv: 2606.02531 · arxiv_version: 2606.02531v1 · doi: 10.48550/arxiv.2606.02531 · pith_short_12: ZPKQ4GA7UVJ6 · pith_short_16: ZPKQ4GA7UVJ6SDHK · pith_short_8: ZPKQ4GA7

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/ZPKQ4GA7UVJ6SDHKBGLAYH24L6 \
  | 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: cbd50e181fa553e90cea09960c1f5c5f8f8c22d5f9b86ef249f6ceaa677e94f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43cb491edfa99d3a9ee40454d298877a2de715ec12b3786c9f83872b510af60",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-01T17:38:21Z",
    "title_canon_sha256": "dcb9e21ab365defdda481f4cd944788039a0fcf65c14d1ac8919cf887747be78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02531",
    "kind": "arxiv",
    "version": 1
  }
}