s671.py

from research import *
s=begin(671,'Consolidate the retained-path explanation','What new mechanism connects biography, cumulative paths and calendar flanks?',{'completed_range':[652,671],'precision':['phase test holds outer nodes fixed','2083/1936/1446 path uses whole-year displays']},['C652–C670','Reviewer C652–C664'])
body='''# C671: forty-step checkpoint\n\nFile70’s repetitions now reduce to translated rails, reflections and indexed paths. Jacob’s death-centered7|70|70|7 reflection differs from his biographical70|7|70 symmetry. The cumulative4900 body is x(k)=5436−70k; its supplied cuts49,50,57,69 produce the named subdivisions. The larger13475 path is175×(49+20+8).\n\nSupplement A’s generator is especially compact: f=30,c=23f. Its native carrier is24f, its two-flank bracket25f, and E(c)=25f. Retaining flanks during core conversion produces the full native/P/E table. The native six-node cell is2c+3f=49f=1470; its several partitions are consequences of the same construction.\n\nPhase precision: C662 changes only the Jacob junction with outer5436/536 fixed. C664 uses the whole-year2083/1936/1446 display throughout. Exact phase coordinates must be compared in corresponding phases.\n\nNext: reconstruct the complete phase table, the conserved-center closures and the micro/macro calibration bridge.\n'''
a=artifact('deliverables/C671_Interim_Synthesis.md',body)
finish(s,{'artifact':a,'mechanisms':['reflection','indexed path','retained core and flanks']},'Forty steps now provide a connected explanatory grammar. The next productive question is how phase and center coordinates account for the source’s40/70/120 fields and Actual/Rounded closure.','Derive the complete micro phase table from center, width and phase offsets.',{'range':671-632+1==40,'core_flank':2*690+3*30==1470,'spine':175*(49+20+8)==13475})