bibkey: wang2026port authors: Han Wang year: 2026 title: Port Fillings for Primary Pseudoperfect Numbers doi: 10.48550/arXiv.2605.21518 url: https://arxiv.org/html/2605.21518v1#S19 claim: “Section 19 defines terminal ports and the five-splitting hypersurface, states the five-splitting prime-points hypothesis, and proves finite local solubility and an unbounded smooth positive component.” strata_touched:

• D5/S3/PrimeForms/TerminalPortFiveSplitCompatibilityRefutation license: CC-BY-4.0 triage: anchor

Port fillings for primary pseudoperfect numbers

Section 19 distinguishes terminal ports from ambient terminal ports. Definition 19.1 gives the five-variable hypersurface. Hypothesis 19.2 asserts a prime point under its real-component and local-solubility premises. Lemmas 19.3 and 19.4 establish those two premises for the stated terminal-port ranges.

The repository artifact linked by this note studies an explicitly abstracted joint consequence of that hypothesis and those lemmas. Its abstraction and refutation are repository-derived; this note does not attribute either one to the paper as an exact published theorem. It also does not convert the paper’s conditional infinitude theorem into an unconditional result.

Verified locator

• DOI: 10.48550/arXiv.2605.21518
• Source: https://arxiv.org/html/2605.21518v1#S19
• Version: arXiv:2605.21518v1, dated May 18, 2026.
• Relevant items: Definition 19.1, Hypothesis 19.2, Lemmas 19.3 and 19.4.