Pith Number

pith:NW2WHDBC

pith:2026:NW2WHDBCEMEVKE6OKFDTPL4REZ

not attested not anchored not stored refs pending

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

Kenta Kasai

arxiv:2606.32001 v1 · 2026-06-30 · 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{NW2WHDBCEMEVKE6OKFDTPL4REZ}

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	2026-07-01T01:18:28.749064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db5638c2223095513ce514737af912658a5878448d375407862045dadc3482b

Aliases

arxiv: 2606.32001 · arxiv_version: 2606.32001v1 · doi: 10.48550/arxiv.2606.32001 · pith_short_12: NW2WHDBCEMEV · pith_short_16: NW2WHDBCEMEVKE6O · pith_short_8: NW2WHDBC

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/NW2WHDBCEMEVKE6OKFDTPL4REZ \
  | 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: 6db5638c2223095513ce514737af912658a5878448d375407862045dadc3482b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23854c13d72c0897d4526e6e6d79fddc802c906200f2838c8c5094cb77f3eaf3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-30T17:34:54Z",
    "title_canon_sha256": "0cff073ed7cb3998843153a68d04e1fc48f09c810db18ce78b8fd758c345dac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.32001",
    "kind": "arxiv",
    "version": 1
  }
}