In many articles (for example in articles given by M.Marcoli) there is statement that there is the following conjecture



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> Residues of Feynman integrals in scalar field theories are always periods of mixed Tate motives
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I have three questions related to this conjecture


1) What is the recent knowledge of this conjecture ? Is it proven or partially proven ? (Articles which I read have at least five/six years).


2) One of the supporting evidence were [computations](https://arxiv.org/pdf/hep-th/9609128v3.pdf) collected by Broadhurst and Kreimer. Where can I found more actual data (if such exist) ? 


3) Is it a generalization of this conjecture on bosonic/fermionic field theories ? 



Conjecture of relation between residues of Feynman integrals and mixed Tate motives
1) Counterexamples were found in the paper Brown, Francis; Schnetz, Oliver:
"A $K3$ in $\phi^4$". Duke Math. J. 161 (2012), no. 10, 1817–1862. It is now the general feeling that most $\phi^4$-Feynman integrals are not mixed Tate.


2) In 2008, Schnetz has compiled a list of Feynman integrals in [Quantum periods: A census of $\phi^4$-transcendentals](http://arxiv.org/abs/0801.2856). These were obtained using numerical computations. Meanwhile, for all results rigorous proofs have been found.


3) No clue. 


