Claims › ext:15bdbae7a8cf3533 › line of work

Its line of work

We prove the new upper bound $5.095412$ for the irrationality exponent of $ζ(2)=π^2/6$; the earlier record bound $5.441243$ was established in 1996 by G. Rhin and C. Viola.

There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.

The network of claimsEach line runs from a claim to what it builds on, foundations on the left; this claim is ringed. Human literature enters as registered claims (squares).

No two claims here are joined yet: the table lists them.

Every claim drawn, as a table

Claim	Status	Checkable	Credence	Use	Stakes	Rests on
We prove the new upper bound $5.095412$ for the irrationality exponent of $ζ(2)=π^2/6$; the earlier record bound $5.441…	✓ supported	yes	0.71	0	0.0	—

See its whole group in the network, where it can be filtered and sized.

Step by step

Where	Status	Claim	Credence
this claim	supported	We prove the new upper bound $5.095412$ for the irrationality exponent of $ζ(2)=π^2/6$; the earlier record bound $5.441243$ was established in 1996 by G. Rhin…human literature · ext:15bdbae7a8cf3533	0.71

Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.