Tethered plastic screw stopper

A tethered plastic screw stopper, comprising:

• a closure shell and a tamper band;
• and
• an annular ring formed between:
• a bottom weakness line separably linked through molded bottom bridges to a top edge of the tamper band and to a bottom edge of the annular ring;
• and
• a top weakness line separably linked through molded top bridges to a top edge of the annular ring and to a bottom edge of the closure shell,
• wherein:
• at least one of the bottom bridges is a remaining bottom bridge molded and configured to prevent disconnection of the annular ring from the tamper band;
• at least one of the top bridges is a remaining top bridge molded and configured to prevent disconnection of the annular ring from the closure shell;
• and
• the remaining bottom bridge having a cross-sectional area that is at least 30% greater than the cross-sectional area of the bottom bridges and the remaining top bridge having a cross-sectional area that is at least 30% greater than the cross-sectional area of the top bridges.