Question: By what margin did the Supreme Court explicitly overrule Baker v. Nelson in 2016?

full_context: Document 1: Obergefell v. Hodges: Obergefell v. Hodges, 576 U.S. ___ (2015) ( ), is a landmark civil rights case in which the United States Supreme Court ruled that the fundamental right to marry is guaranteed to same-sex couples by both the Due Process Clause and the Equal Protection Clause of the Fourteenth Amendment to the United States Constitution in a 5–4 decision.
Document 2: Lawrence v. Texas: Lawrence v. Texas, 539 U.S. 558 (2003) is a landmark decision by the United States Supreme Court. The Court struck down the sodomy law in Texas in a 6-3 decision and, by extension, invalidated sodomy laws in 13 other states, making same-sex sexual activity legal in every U.S. state and territory. The Court, with a five-justice majority, overturned its previous ruling on the same issue in the 1986 case "Bowers v. Hardwick", where it upheld a challenged Georgia statute and did not find a constitutional protection of sexual privacy.
Document 3: Same-sex marriage by Circuit Court: Prior to the landmark ruling "United States v. Windsor", the constitutionality of banning same-sex marriage was upheld by the Eighth Circuit in "Citizens for Equal Protection v. Bruning". After the "Windsor" ruling, many same-sex marriage bans were struck down by lower courts. The Tenth, Fourth, Seventh, and Ninth circuits all ruled that same-sex marriage bans were unconstitutional. The cases that made it to these circuit courts originated in district courts which for the most part also struck down same-sex marriage bans. When a circuit court struck down a state's same-sex marriage ban, it did not directly strike down same-sex marriage bans in other states within the circuit. However, it paved the way for same-sex marriage bans to be struck down in the entire circuit due to the precedent it set for district courts within the circuit to follow. In some states, same-sex marriage was already legal before a federal circuit court ruled on the matter. The Sixth Circuit ruled that same-sex marriage bans were not unconstitutional and reversed the district court rulings that struck down same-sex marriage bans. Since this was the only circuit court to rule this way post-"Windsor", this created a circuit split which ultimately led to the Supreme Court of the United States deciding to resolve the issue once and for all. They ruled that same-sex marriage bans violate the constitution in the landmark ruling "Obergefell v. Hodges" which was the consolidated case that covered each state in the Sixth Circuit. Some circuit courts have not ruled on the constitutionality of same-sex marriage bans at all. Many circuit courts had pending same-sex marriage cases, but decided to hold off on litigation until the Supreme Court ruled on the matter.
Document 4: Same-sex marriage in the Sixth Circuit: On April 28, 2015, the Supreme Court of the United States heard oral arguments for "Obergefell v. Hodges" (Ohio), which was consolidated with three other same-sex marriage cases from the other states in the Sixth Circuit: "Tanco v. Haslam" (Tennessee), "DeBoer v. Snyder" (Michigan), "Bourke v. Beshear" (Kentucky). On June 26, 2015 the Supreme Court reversed the Sixth Circuit's decision, paving the way for same-sex marriage to become legal in those states, and setting a precedent for the entire nation. All four states complied with the ruling the same day it was issued before the mandate was actually issued. Every state in the circuit had a district court ruling against their states' ban, but they were eventually stayed pending appeal. The Sixth Circuit consists of Kentucky, Michigan, Ohio, and Tennessee. On August 6, 2014, the Sixth Circuit heard oral arguments for same-sex marriage cases from each state within the circuit. On November 6, 2014, the Sixth Circuit in a split 2-1 decision, upheld the states' same-sex marriage bans, reversing the district courts' rulings that struck them down. The Sixth Circuit was the first and only circuit court since the landmark ruling "United States v. Windsor" to uphold the constitutionality of states' same-sex marriage bans which caused a circuit split.
Document 5: Same-sex marriage in Indiana: Same-sex marriage has been legally recognized in the U.S. state of Indiana since October 6, 2014. The state had previously restricted marriage to male-female couples by statute in 1986. By legislation passed in 1997, it denied recognition to same-sex relationships established in other jurisdictions. A lawsuit challenging the state's refusal to grant marriage licenses to same-sex couples, "Baskin v. Bogan", won a favorable ruling from the U.S. District Court for the Southern District of Indiana on June 25, 2014. Until the U.S. Court of Appeals for the Seventh Circuit granted an emergency stay of the district court's ruling on June 27, most Indiana counties issued marriage licenses to same-sex couples. The Court of Appeals affirmed the district court's ruling in "Baskin" on September 4. A ruling in "Bowling v. Pence" stated that the state must recognize same-sex marriages performed out-of-state and the decision was stayed until the Circuit ruled on the merits in similar cases. It also stated that the ruling would remain stayed if the circuit court stayed its decision in the related cases.
Document 6: Same-sex marriage in California: Same-sex marriage is legal in the U.S. state of California, and first became so on June 16, 2008, when the state began issuing marriage licenses to same-sex couples as the result of the Supreme Court of California ruling in "In re Marriage Cases", which found that barring same-sex couples from marriage violated the state's constitution. The issuance of those licenses was halted during the period of November 5, 2008 through June 27, 2013 (though existing same-sex marriages continued to be valid) due to the passage of Proposition 8—a state constitutional amendment barring same-sex marriages. The granting of same-sex marriages recommenced following the United States Supreme Court decision in "Hollingsworth v. Perry", which restored the effect of a federal district court ruling that overturned Proposition 8 as unconstitutional.
Document 7: Same-sex marriage in the United States: In the United States, same-sex marriage is legal in all states, Washington, D.C., as well as all U.S. territories except American Samoa, but not on all Native American tribal lands, since June 26, 2015, when the United States Supreme Court ruled in "Obergefell v. Hodges" that state-level bans on same-sex marriage are unconstitutional. The court ruled that the denial of marriage licenses to same-sex couples and the refusal to recognize those marriages performed in other jurisdictions violates the Due Process and the Equal Protection clauses of the Fourteenth Amendment of the United States Constitution. The ruling overturned a 1972 precedent, "Baker v. Nelson". Just prior to the Supreme Court's ruling in 2015, same-sex marriage was legal in many but not all U.S. jurisdictions.
Document 8: Baker v. Nelson: Richard John Baker v. Gerald R. Nelson, 291 Minn. 310, 191 N.W.2d 185 (1971) is a case in which the Minnesota Supreme Court ruled that a state law limiting marriage to persons of the opposite sex did not violate the U.S. Constitution. Baker appealed, and on October 10, 1972, the United States Supreme Court dismissed the appeal "for want of a substantial federal question." Because the case came to the U.S. Supreme Court through mandatory appellate review (not "certiorari"), the dismissal constituted a decision on the merits and established "Baker v. Nelson" as precedent, though the extent of its precedential effect had been subject to debate. In May 2013, Minnesota legalized same-sex marriage and it took effect on August 1, 2013. Subsequently, on June 26, 2015, the U.S. Supreme Court explicitly overruled "Baker" in "Obergefell v. Hodges" making same-sex marriage legal nationwide.
Document 9: United States v. Windsor: United States v. Windsor, 570 U.S. ___ (2013) (Docket No. 12-307 ), is a landmark civil rights case in which the United States Supreme Court held that restricting U.S. federal interpretation of "marriage" and "spouse" to apply only to opposite-sex unions, by Section 3 of the Defense of Marriage Act (DOMA), is unconstitutional under the Due Process Clause of the Fifth Amendment. In the majority opinion, Justice Anthony Kennedy wrote: "The federal statute is invalid, for no legitimate purpose overcomes the purpose and effect to disparage and to injure those whom the State, by its marriage laws, sought to protect in personhood and dignity."
Document 10: Michael McConnell and Jack Baker: Michael McConnell and Jack Baker are pioneering advocates of marriage rights for gay couples. Jack Baker was a stage name used by Richard John Baker in the 1970s to promote full equality for gay men and women. He and Michael McConnell applied in Hennepin County for a license to marry, then appealed its denial to the Minnesota Supreme Court, which dismissed the claim. "Under the law at the time (since repealed) governing the [U.S.] Supreme Court’s jurisdiction over appeals from state-court decisions, "Baker v. Nelson" reached the justices as a mandatory appeal." The State argued that the marriage license issued previously in Blue Earth County proved that the "Questions Raised by This Appeal Are Moot."
Document 11: Same-sex marriage in the Fourth Circuit: On July 28, 2014 the Fourth Circuit Court of Appeals upheld a ruling in "Bostic v. Schaefer" striking down Virginia's same-sex marriage ban which is a precedent for every state within the circuit. The ruling would have gone into effect on August 21, 2014 but the Supreme Court of the United States granted the stay request by the clerk of Prince William County. Attorneys for two same-sex couples had until August 18, 2014 to respond to the stay request. The Fourth Circuit consists of Maryland, North Carolina, South Carolina, Virginia, and West Virginia. Maryland was the first state in the circuit to enact gay marriage by legislative act and confirmed by a voter referendum. That occurred prior to the Fourth Circuit Court ruling that was denied review at the Supreme Court, which led to the expansion to Virginia, West Virginia, and North Carolina.
Document 12: LGBT rights in Vermont: The establishment of LGBT rights in the US state of Vermont is a recent occurrence, with the majority of progress having taken place in the past century. It was one of 37 US states, along with the District of Columbia, that issued marriage licenses to same-sex couples, until the landmark Supreme Court ruling of Obergefell v. Hodges that legalized equal marriage rights for same-sex couples nationwide.
Document 13: Same-sex marriage in Missouri: Same-sex marriage in Missouri is legal under the U.S. Supreme Court's landmark ruling in "Obergefell v. Hodges", which struck down state bans on marriages between two people of the same sex on June 26, 2015. Prior to the court ruling, the state recognized same-sex marriages from other jurisdictions pursuant to a state court ruling in October 2014, and certain jurisdictions of the state performed same-sex marriage despite a statewide ban.
Document 14: Hollingsworth v. Perry: Hollingsworth v. Perry refers to a series of United States federal court cases that legalized same-sex marriage in the State of California. The case began in 2009 in the U.S. District Court for the Northern District of California, which found that banning same-sex marriage violates equal protection under the law. This decision overturned ballot initiative Proposition 8, which had banned same-sex marriage. After the State of California refused to defend Proposition 8, the official sponsors of Proposition 8 intervened and appealed to the Supreme Court. The case was litigated during the governorships of both Arnold Schwarzenegger and Jerry Brown, and was thus known as Perry v. Schwarzenegger and Perry v. Brown, respectively. As "Hollingsworth v. Perry", it eventually reached the United States Supreme Court, which held that, in line with prior precedent, the official sponsors of a ballot initiative measure did not have Article III standing to appeal an adverse federal court ruling when the state refused to do so.
Document 15: Baker v. Wade: Baker v. Wade 563 F.Supp 1121 (N.D. Tex. 1982), rev'd 769 F.2nd 289 (5th Cir. 1985) (en banc) cert denied 478 US 1022 (1986) is a federal lawsuit challenging the legality of the sodomy law of the state of Texas. Plaintiff Donald Baker contended that the law violated his rights to privacy and equal protection. After a victory at trial, an appellate court reversed the lower court's decision and in the wake of its decision in "Bowers v. Hardwick" the Supreme Court of the United States refused to review it.
ground_truth: 5–4