Pith Number

pith:EVNZXPZV

pith:2026:EVNZXPZVDXCEVPYA7UCOX6ZYNZ

not attested not anchored not stored refs pending

Beyond transversality: structure of Clifford circuits for CSS codes

Victor V. Albert

arxiv:2608.05688 v1 · 2026-08-06 · quant-ph · cs.IT · math.CO · math.GR · math.IT · 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{EVNZXPZVDXCEVPYA7UCOX6ZYNZ}

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	2026-08-07T00:52:21.530012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255b9bbf351dc44abf00fd04ebfb386e4cd4f265a1e6aad0c60098ed41c9bc94

Aliases

arxiv: 2608.05688 · arxiv_version: 2608.05688v1 · doi: 10.48550/arxiv.2608.05688 · pith_short_12: EVNZXPZVDXCE · pith_short_16: EVNZXPZVDXCEVPYA · pith_short_8: EVNZXPZV

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/EVNZXPZVDXCEVPYA7UCOX6ZYNZ \
  | 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: 255b9bbf351dc44abf00fd04ebfb386e4cd4f265a1e6aad0c60098ed41c9bc94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed17c8d67fc273225f8c1e41f8a8a264c137513e748df7774cddec1a66c0fd09",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.GR",
      "math.IT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-06T07:28:20Z",
    "title_canon_sha256": "e32f908b34177f743888cc610e81726af99eac7fdbd7e842be2017a9b69bd6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05688",
    "kind": "arxiv",
    "version": 1
  }
}