s934.py

from research import *
s=begin(934,'Replace six dates by a reversible path-coordinate packet','Which numeric coordinates retain the entire paired source construction?',{},['C933'])
p=json.loads((ROOT/'model/junction_source_packet.json').read_text());A=p['anchors']['Conquest'];H=p['anchors']['Nativity'];R=p['rounded_regular'];C=p['rounded_cumulative']
q={'anchor':A,'tail':A-H,'regular_legs':[R['Creation']-R['Flood'],R['Flood']-A],'cumulative_legs':[C['Creation']-C['Flood'],C['Flood']-A]}
recover={'R':A+sum(q['regular_legs']),'Fr':A+q['regular_legs'][1],'C':A+sum(q['cumulative_legs']),'Fc':A+q['cumulative_legs'][1],'A':A,'H':A-q['tail']}
a=artifact('model/junction_path_coordinates.json',json.dumps({'coordinates':q,'recovered':recover,'independence':'six real coordinate dimensions before source constraints; not six admitted variant freedoms'},indent=2)+'\n')
finish(s,{'path_coordinates':a,'coordinates':q},'One shared anchor, four ordered legs and one tail exactly retain all six source dates. This is a change of coordinates, so it compresses notation but does not itself explain the source values.','Remove common translation and identify which junction claims depend only on durations.',{'recovery':recover=={'R':4106,'Fr':2456,'C':14006,'Fc':4836,'A':1406,'H':6},'six_coordinates':1+1+len(q['regular_legs'])+len(q['cumulative_legs'])==6})