{"id":"https://openalex.org/W7225428969","doi":"https://doi.org/10.5281/zenodo.24011482","title":"Global identification of real symmetric 4\u00d74 matrices from four static configurations of two fixed perturbations: Sufficiency and optimality of the seventh moment","display_name":"Global identification of real symmetric 4\u00d74 matrices from four static configurations of two fixed perturbations: Sufficiency and optimality of the seventh moment","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225428969","doi":"https://doi.org/10.5281/zenodo.24011482"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24011482","doi":"https://doi.org/10.5281/zenodo.24011482","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24011482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24011482","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5150567425","display_name":"Martino Ruggeri","orcid":"https://orcid.org/0009-0003-8148-9265","observed_orcids":["https://orcid.org/0009-0003-8148-9265"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ruggeri, Martino","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0003-8148-9265","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5150567425"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8217999935150146,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8217999935150146,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.07249999791383743,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.03550000116229057,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/global-identification","display_name":"global identification","score":0.6489999890327454},{"id":"https://openalex.org/keywords/real-symmetric-matrices","display_name":"real symmetric matrices","score":0.8709999918937683},{"id":"https://openalex.org/keywords/moment-matrices","display_name":"moment matrices","score":0.5799999833106995},{"id":"https://openalex.org/keywords/static-configurations","display_name":"static configurations","score":0.9179999828338623}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6133000254631042},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.54830002784729},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5400999784469604},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5121999979019165},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4867999851703644},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4717000126838684},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4603999853134155},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4490000009536743},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42899999022483826},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.42890000343322754},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.42489999532699585},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.37599998712539673},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.36090001463890076},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.33880001306533813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3140000104904175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30979999899864197},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29510000348091125},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.28540000319480896},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.266400009393692},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24011482","doi":"https://doi.org/10.5281/zenodo.24011482","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24011482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24011483","doi":"https://doi.org/10.5281/zenodo.24011483","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24011483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24011482","doi":"https://doi.org/10.5281/zenodo.24011482","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24011482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W7210276108"],"related_works":["https://openalex.org/W2064042737","https://openalex.org/W3007746908","https://openalex.org/W3096646854","https://openalex.org/W1972854904","https://openalex.org/W7223475429","https://openalex.org/W3172903014","https://openalex.org/W7096554241","https://openalex.org/W2062618120","https://openalex.org/W2002276754","https://openalex.org/W2285451321"],"abstract_inverted_index":{"This":[0],"preprint":[1],"investigates":[2],"the":[3,49,60,86,89,105,127],"global":[4],"identification":[5],"of":[6,15,88],"real":[7],"symmetric":[8,20],"4\u00d74":[9],"matrices":[10],"from":[11,85],"a":[12,31,111,119,131,145],"finite":[13,138],"set":[14],"observed":[16],"moments.":[17],"Two":[18],"fixed":[19],"perturbations":[21],"and":[22,72,77,94,155],"four":[23],"static":[24],"configurations":[25],"are":[26,57],"considered.":[27],"The":[28,63,82,140],"study":[29,83],"presents":[30],"proof,":[32],"partly":[33],"supported":[34],"by":[35,125],"exact":[36],"computer-assisted":[37],"certificates,":[38],"that":[39],"moments":[40,53],"through":[41,54,114,137],"order":[42,55],"seven":[43],"uniquely":[44,135],"identify":[45],"every":[46],"matrix":[47],"in":[48],"prescribed":[50],"class,":[51],"whereas":[52],"six":[56],"insufficient":[58],"for":[59],"same":[61],"protocol.":[62],"analysis":[64],"covers":[65],"all":[66],"observed-rank":[67],"profiles,":[68],"including":[69],"degenerate":[70],"cases,":[71],"provides":[73],"supplementary":[74],"computational":[75],"certificates":[76],"reproducibility":[78],"materials.":[79],"Foundational":[80,163],"perspective.":[81],"originates":[84],"premises":[87],"Unitary":[90],"Field":[91],"(Campo":[92],"Unitario)":[93],"their":[95],"possible":[96],"interpretative":[97],"consequences.":[98],"Within":[99],"this":[100,123],"framework,":[101],"Reality":[102],"refers":[103],"to":[104],"foundational":[106],"domain,":[107],"while":[108],"measurement":[109],"concerns":[110],"representation":[112],"arising":[113],"local":[115],"execution.":[116],"E4":[117],"constitutes":[118],"mathematical":[120],"advance":[121],"within":[122],"perspective":[124],"investigating":[126],"conditions":[128],"under":[129],"which":[130],"represented":[132],"structure":[133],"becomes":[134],"identifiable":[136],"observations.":[139],"manuscript":[141],"is":[142],"released":[143],"as":[144],"research":[146],"preprint.":[147],"Independent":[148],"peer":[149],"review":[150],"has":[151,158],"not":[152,159],"been":[153,160],"completed,":[154],"bibliographic":[156],"novelty":[157],"definitively":[161],"established.":[162],"reference:":[164],"https://doi.org/10.5281/zenodo.23645830":[165]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
