Pith Number

pith:CWDSCH2D

pith:2021:CWDSCH2DRVPDIFTNAA7RJ5HYVJ

not attested not anchored not stored refs pending

Clifford groups are not always 2-designs

Joel J. Wallman, Joshua Skanes-Norman, Matthew A. Graydon

arxiv:2108.04200 v1 · 2021-08-09 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWDSCH2DRVPDIFTNAA7RJ5HYVJ}

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.

Cited by

2 papers in Pith

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources

Simple slow operators and quantum thermalization

Receipt and verification

First computed	2026-07-05T03:04:13.726501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1587211f438d5e34166d003f14f4f8aa69f64249a635f83599f6e006b9f887cc

Aliases

arxiv: 2108.04200 · arxiv_version: 2108.04200v1 · doi: 10.48550/arxiv.2108.04200 · pith_short_12: CWDSCH2DRVPD · pith_short_16: CWDSCH2DRVPDIFTN · pith_short_8: CWDSCH2D

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/CWDSCH2DRVPDIFTNAA7RJ5HYVJ \
  | 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: 1587211f438d5e34166d003f14f4f8aa69f64249a635f83599f6e006b9f887cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c772071560fdd4a33884cf8258b6e7fb0e50bc2d53fbc27e62af36819ee9d660",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-08-09T17:37:59Z",
    "title_canon_sha256": "a44f441c12626bc0e4211d1f185e7663518390ef3decce5dee03dfa4c9f3828e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04200",
    "kind": "arxiv",
    "version": 1
  }
}