Pith Number

pith:5ECKEJKK

pith:2012:5ECKEJKKVF465PQNPDPQ4FYEXO

not attested not anchored not stored refs pending

Quantum "hyperbicycle" low-density parity check codes with finite rate

Alexey A. Kovalev, Leonid P. Pryadko

arxiv:1212.6703 v2 · 2012-12-30 · 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{5ECKEJKKVF465PQNPDPQ4FYEXO}

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

The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes

Receipt and verification

First computed	2026-05-18T03:18:49.674710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e904a2254aa979eebe0d78df0e1704bbbd4225bcdbe3f19a0b2e111880ae8862

Aliases

arxiv: 1212.6703 · arxiv_version: 1212.6703v2 · doi: 10.48550/arxiv.1212.6703 · pith_short_12: 5ECKEJKKVF46 · pith_short_16: 5ECKEJKKVF465PQN · pith_short_8: 5ECKEJKK

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/5ECKEJKKVF465PQNPDPQ4FYEXO \
  | 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: e904a2254aa979eebe0d78df0e1704bbbd4225bcdbe3f19a0b2e111880ae8862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec4685db096553e5b136bea1235b7023da535016bab36a31f547ef030839592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-30T11:19:24Z",
    "title_canon_sha256": "f9b28a782c4b75b9bef491671b0a5ec8f358d5b04d572e5bcb61b8365e285784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6703",
    "kind": "arxiv",
    "version": 2
  }
}