Pith Number

pith:3JCDTOYG

pith:2011:3JCDTOYGBEN3FM6HGYEMS52IBJ

not attested not anchored not stored refs pending

Spatially-Coupled MacKay-Neal Codes and Hsu-Anastasopoulos Codes

Kenta Kasai, Kohichi Sakaniwa

arxiv:1102.4612 v3 · 2011-02-22 · 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{3JCDTOYGBEN3FM6HGYEMS52IBJ}

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

Spatially Coupled MacKay-Neal/Hsu-Anastasopoulos CSS Codes Achieve the Quantum-Erasure Hashing Bound by Seeded BP Decoding

Receipt and verification

First computed	2026-05-18T02:03:06.332868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4439bb06091bb2b3c73608c977480a46923fd52a553eeed82e2638138e2689

Aliases

arxiv: 1102.4612 · arxiv_version: 1102.4612v3 · doi: 10.48550/arxiv.1102.4612 · pith_short_12: 3JCDTOYGBEN3 · pith_short_16: 3JCDTOYGBEN3FM6H · pith_short_8: 3JCDTOYG

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/3JCDTOYGBEN3FM6HGYEMS52IBJ \
  | 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: da4439bb06091bb2b3c73608c977480a46923fd52a553eeed82e2638138e2689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6c69f481708f80617eadd0aef000b4f7510c5e6bb09b5d2172cf332320cb73",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-22T20:57:08Z",
    "title_canon_sha256": "2966b44ed8a41ae4b87dcf6e5be4eb1fd8eee2e24ed7d735ab1bd75a362c3a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4612",
    "kind": "arxiv",
    "version": 3
  }
}