Pith Number

pith:34ICNSKZ

pith:2026:34ICNSKZSLAR2NRBMFPFNBV6B2

not attested not anchored not stored refs pending

Quantum Bicycle LDPC Codes with High $kd^2/n$ from Divisor-Driven Search

Guanmin Guo, Liangdong Lu, Ruipan Yang, Yang Liu

arxiv:2608.09115 v1 · 2026-08-10 · cs.IT · math.IT · 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{34ICNSKZSLAR2NRBMFPFNBV6B2}

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.

Receipt and verification

First computed	2026-08-11T02:21:49.871249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1026c95992c11d3621615e5686be0e8060f1d1b19af6eddc769009ec3c6b24

Aliases

arxiv: 2608.09115 · arxiv_version: 2608.09115v1 · doi: 10.48550/arxiv.2608.09115 · pith_short_12: 34ICNSKZSLAR · pith_short_16: 34ICNSKZSLAR2NRB · pith_short_8: 34ICNSKZ

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/34ICNSKZSLAR2NRBMFPFNBV6B2 \
  | 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: df1026c95992c11d3621615e5686be0e8060f1d1b19af6eddc769009ec3c6b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb151715b5952808dda416ae852a3f22c8967b4c8767b0152a9095dbe461b971",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-08-10T04:45:08Z",
    "title_canon_sha256": "aa8c287d2cb3cd376017034919ceec0cc8ff8013bd7dda5d142df84ad650d753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09115",
    "kind": "arxiv",
    "version": 1
  }
}