Provisional Derived Family Theorem

For the first time in the entire Phase 2 line, the candidate theorem is formally written as a statement: let $E:y^2=x^3+x^2+8x-16$, and $\mathcal P$ be the prime family defined in documents 15 and 16 ($q\equiv1\pmod{24}$, $(\frac q{29})=1$, $f_2 \bmod q$ irreducible, natural density $\frac1{24}$); the candidate conclusion is $\forall q\in\mathcal P,\ \operatorname{BSD}(E_q)$, where $E_q$ is the quadratic twist of $E$ by $q$. The document splits the current proof status into two blocks: the CLOSED part lists 11 items (prime family infinite/positive density, all conductor-prime splitting conditions, 2-division inertness, support-prime ordinarity, base $\operatorname{BSD}(E,2)$, 2-part/nonvanishing from Theorem 2.14, support-prime additive branch, good ordinary branch, fixed multiplicative $3/29$ branch, FW supersingular residual conditions, exhaustive prime partition); the NEEDS INDEPENDENT REFEREE AUDIT part lists 5 items (precise convention correspondence between FW modular representation and the elliptic curve $E[p]$ at the nonsplit multiplicative witness, period normalization statement for each twist $E_q$, precise wording of isogeny/optimality used in period comparison, precise citation chain for all ordinary/additive/multiplicative $p$-part results, novelty search). The document's judgment on the claim level is extremely precise: it should currently be called a Provisional Derived Theorem, not an Established New Theorem—the reason is not that obvious mathematical gaps are still seen, but that it has entered the stage of "requiring an independent referee to verify citations and conventions line by line," which are two different things.