Pith Number

pith:ATN4VRGX

pith:2021:ATN4VRGXY5XSK4MPE4DE2ZPCVG

not attested not anchored not stored refs pending

Single-shot quantum error correction with the three-dimensional subsystem toric code

Aleksander Kubica, Michael Vasmer

arxiv:2106.02621 v1 · 2021-06-04 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATN4VRGXY5XSK4MPE4DE2ZPCVG}

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

1 paper in Pith

Magic state cultivation: growing T states as cheap as CNOT gates

Receipt and verification

First computed	2026-07-05T05:09:03.910779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dbcac4d7c76f25718f27064d65e2a99825d06e75de7e6292e163400270750c

Aliases

arxiv: 2106.02621 · arxiv_version: 2106.02621v1 · doi: 10.48550/arxiv.2106.02621 · pith_short_12: ATN4VRGXY5XS · pith_short_16: ATN4VRGXY5XSK4MP · pith_short_8: ATN4VRGX

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/ATN4VRGXY5XSK4MPE4DE2ZPCVG \
  | 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: 04dbcac4d7c76f25718f27064d65e2a99825d06e75de7e6292e163400270750c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40c5f1e2304bd6609c46ce99425c99acb437ad8a53c1514b610310139e68171",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-04T17:35:00Z",
    "title_canon_sha256": "03aa884499fcecd4cd0f850336c463892e1b3b8e13062d48a4dd0fee5118cb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02621",
    "kind": "arxiv",
    "version": 1
  }
}