Pith Number

pith:CIZGZR2X

pith:2014:CIZGZR2XPDSTMVSYWS5SNTSW54

not attested not anchored not stored refs pending

Sparse Quantum Codes from Quantum Circuits

Aram W. Harrow, Dave Bacon, Jonathan Shi, Steven T. Flammia

arxiv:1411.3334 v5 · 2014-11-12 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIZGZR2XPDSTMVSYWS5SNTSW54}

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

Demonstration of logical qubits and repeated error correction with better-than-physical error rates

Receipt and verification

First computed	2026-05-18T00:47:59.495704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12326cc75778e5365658b4bb26ce56ef2671c1262b4928d5b9582c4e68a2d3ca

Aliases

arxiv: 1411.3334 · arxiv_version: 1411.3334v5 · doi: 10.48550/arxiv.1411.3334 · pith_short_12: CIZGZR2XPDST · pith_short_16: CIZGZR2XPDSTMVSY · pith_short_8: CIZGZR2X

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/CIZGZR2XPDSTMVSYWS5SNTSW54 \
  | 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: 12326cc75778e5365658b4bb26ce56ef2671c1262b4928d5b9582c4e68a2d3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce465aeb68bcbaad29c759e12123f56c00dd0e37d763fee4c8495d94745ac88",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-11-12T21:00:14Z",
    "title_canon_sha256": "7c62242d7c1f364ab961567077e7833918416335699412f244ae72982c6f30c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3334",
    "kind": "arxiv",
    "version": 5
  }
}