Pith Number

pith:HMYZ6MJE

pith:2026:HMYZ6MJEWA6OP3KX377DE4Q3QA

not attested not anchored not stored refs pending

Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics

Ming-Xing Luo

arxiv:2605.17412 v1 · 2026-05-17 · quant-ph · cs.CR · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMYZ6MJEWA6OP3KX377DE4Q3QA}

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	2026-05-20T00:03:57.137444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b319f3124b03ce7ed57dffe32721b80272f7d9c612533e1ff672444b011f0f4

Aliases

arxiv: 2605.17412 · arxiv_version: 2605.17412v1 · doi: 10.48550/arxiv.2605.17412 · pith_short_12: HMYZ6MJEWA6O · pith_short_16: HMYZ6MJEWA6OP3KX · pith_short_8: HMYZ6MJE

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/HMYZ6MJEWA6OP3KX377DE4Q3QA \
  | 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: 3b319f3124b03ce7ed57dffe32721b80272f7d9c612533e1ff672444b011f0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64df6b41d5b4f91e1b2102888de6119e609efa44ba5adc2620a700011cd0049f",
    "cross_cats_sorted": [
      "cs.CR",
      "math.CO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-17T12:16:04Z",
    "title_canon_sha256": "0ba09abc1578eb66fd01daddaef1399187c6fc776a7d1a5f186cdaffb173a184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17412",
    "kind": "arxiv",
    "version": 1
  }
}