Pith Number

pith:GPOI4W3U

pith:2012:GPOI4W3UZB3H7KOP2XKATSB2CL

not attested not anchored not stored refs pending

Magic-state distillation with the four-qubit code

Adam M. Meier, Bryan Eastin, Emanuel Knill

arxiv:1204.4221 v1 · 2012-04-18 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPOI4W3UZB3H7KOP2XKATSB2CL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways

Local distillation from Reed Muller codes unfolding

Receipt and verification

First computed	2026-05-18T03:57:28.090543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dc8e5b74c8767fa9cfd5d409c83a12d91fc2cc0e6f3ead1a8b92ba3ed259a2

Aliases

arxiv: 1204.4221 · arxiv_version: 1204.4221v1 · doi: 10.48550/arxiv.1204.4221 · pith_short_12: GPOI4W3UZB3H · pith_short_16: GPOI4W3UZB3H7KOP · pith_short_8: GPOI4W3U

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/GPOI4W3UZB3H7KOP2XKATSB2CL \
  | 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: 33dc8e5b74c8767fa9cfd5d409c83a12d91fc2cc0e6f3ead1a8b92ba3ed259a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225c1d2c25b945ece57aec7a2763bf478e0597401e43ed51af92bfff2b4c6d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-18T22:48:15Z",
    "title_canon_sha256": "9f284f8b1cf8ac441bf5f478e8c16c0472a1bb9d1d985205c54cb38949cc7c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4221",
    "kind": "arxiv",
    "version": 1
  }
}