Any bridge that 'counts' must have a leading edge that remains intact for at least 3 days within (and totally across) Nares Strait or 6 days within the Lincoln Sea. If some downstream ice peels off (not including new fast ice), the date is re-set. (Some consider potentially stable ice north of the Lincoln Sea Polyna not to be an arch, but it will be considered to be one for this poll's purposes.)
The first day of bridge/arch formation determines the bridge's formation month.
A big thick ice floe that gets stuck for 3 days on an island (for example) counts if no ice can sneak around, etc.
A few 'old' posts that might assist you:
Nares Strait is often (always? in recent years) open at least into December (but I don't have the statistics). In 2006-07, it never closed. I understand that in other years no effective bridge formed, too. Neven, in 2013, recommended The Broken Bridges of Nares for those who want to learn some history of Nares ice bridges.
Did some quick research about approx. breakup times, southern "arch" in Kane Basin unless noted otherwise:
2007 - No arches formed.
2008 - June 10th(?)
2009 - No southern arch. Northern arch broke around June 30th.
2010 - July 10th
2011 - July 5th.
2012 - June 30th.
2013 - July 10th.
2014 - June 20th.
2015 - July 5th.
2016 - June 30th
2017 - No southern arch. Northern arch broke around May 10th.
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Although ice arches normally form by about April, I don't expect to see one form this year: the ice is too thin, weak, young and mobile.
For the last three days (2/2 - 4/2) the "arch" at the Lincoln Sea seems to be stationary. Will this stability prove to be long-lived? Past experience this month says no, the date says maybe yes.
I couldn't find a list of ice bridge formation dates. Any help out there?