Pith Number

pith:ZHHU72LA

pith:2026:ZHHU72LA72T532N6RGVUB2A3L4

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Implementation of Polynomial NP-Complete Algorithms Based on the NP Verifier Simulation Framework

Changryeol Lee (Independent Researcher)

Fully specified deterministic Turing machines solve SAT and Subset-Sum in polynomial time via an improved verifier simulation framework.

arxiv:2602.10991 v4 · 2026-02-11 · cs.CC · cs.FL

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\usepackage{pith}
\pithnumber{ZHHU72LA72T532N6RGVUB2A3L4}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We construct fully specified deterministic Turing Machines (DTMs) for SAT and Subset-Sum within an improved NP verifier simulation framework. The complete Python implementation behaves in accordance with the predicted polynomial-time bounds.

C2weakest assumption

That the improved feasible-graph construction and edge-extension mechanisms convert the nondeterministic verifier simulation into a deterministic polynomial-time procedure without introducing hidden exponential factors in the worst case.

C3one line summary

Authors supply deterministic polynomial-time Turing machines and Python code for the NP-complete problems SAT and Subset-Sum via an enhanced NP verifier simulation framework.

Receipt and verification

First computed	2026-07-14T01:20:54.144986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cf4fe960fea7dde9be89ab40e81b5f1008a4da459aaa18a3ccb5ad0a2c1ea7

Aliases

arxiv: 2602.10991 · arxiv_version: 2602.10991v4 · doi: 10.48550/arxiv.2602.10991 · pith_short_12: ZHHU72LA72T5 · pith_short_16: ZHHU72LA72T532N6 · pith_short_8: ZHHU72LA

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZHHU72LA72T532N6RGVUB2A3L4 \
  | 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: c9cf4fe960fea7dde9be89ab40e81b5f1008a4da459aaa18a3ccb5ad0a2c1ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc14b05c96e9ec20c23319735eb0a46f3ec27768856af898345a23faa8858c07",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-02-11T16:17:36Z",
    "title_canon_sha256": "91058c9db97a36f0cd45a1d48aab32df510584be816d9705ed11c239da9f1a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10991",
    "kind": "arxiv",
    "version": 4
  }
}