Pith Number

pith:RNNSK3M7

pith:2013:RNNSK3M7PBTPA5RDVWW7LRWAWE

not attested not anchored not stored refs pending

Using concatenated quantum codes for universal fault-tolerant quantum gates

Raymond Laflamme, Tomas Jochym-O'Connor

arxiv:1309.3310 v1 · 2013-09-12 · 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{RNNSK3M7PBTPA5RDVWW7LRWAWE}

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 states are rarely the best resource to optimize: An analytical tool for qubit resource estimation in concatenated codes

Receipt and verification

First computed	2026-05-18T02:55:11.176738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5b256d9f7866f07623adadf5c6c0b107aecf97e1178c870a76f5ce2210e8d0

Aliases

arxiv: 1309.3310 · arxiv_version: 1309.3310v1 · doi: 10.48550/arxiv.1309.3310 · pith_short_12: RNNSK3M7PBTP · pith_short_16: RNNSK3M7PBTPA5RD · pith_short_8: RNNSK3M7

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/RNNSK3M7PBTPA5RDVWW7LRWAWE \
  | 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: 8b5b256d9f7866f07623adadf5c6c0b107aecf97e1178c870a76f5ce2210e8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5194abb9aad1367fa96769e3a5ac05c9e0a18dfbddda9e4f612d85470e97ebb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-12T21:19:37Z",
    "title_canon_sha256": "ac173266a6f1356362e3f8dc25d0c656c3b9550b4cf3a596abfd61d7ba332670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3310",
    "kind": "arxiv",
    "version": 1
  }
}