{"id":"https://openalex.org/W7225347016","doi":"https://doi.org/10.5281/zenodo.23971179","title":"Recovery of plane-wave profiles from clock-marked nested volumes: finite-family uniqueness, dimension dependence and certified reconstruction","display_name":"Recovery of plane-wave profiles from clock-marked nested volumes: finite-family uniqueness, dimension dependence and certified reconstruction","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225347016","doi":"https://doi.org/10.5281/zenodo.23971179"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23971179","doi":"https://doi.org/10.5281/zenodo.23971179","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23971179","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.23971179","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5098257466","display_name":"Glenn Pellegrin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pellegrin, Glenn","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0002-0860-3802","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5098257466"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.002400000113993883,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.002300000051036477,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/plane-waves","display_name":"plane waves","score":0.8190000057220459},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.38600000739097595},{"id":"https://openalex.org/keywords/uniqueness","display_name":"uniqueness","score":0.47200000286102295},{"id":"https://openalex.org/keywords/sum-of-squares-certificates","display_name":"sum-of-squares certificates","score":0.875},{"id":"https://openalex.org/keywords/causal-geometry","display_name":"causal geometry","score":0.5709999799728394},{"id":"https://openalex.org/keywords/dimension-dependence","display_name":"dimension dependence","score":0.44999998807907104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.785099983215332},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.6880000233650208},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5264999866485596},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.5253000259399414},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4602999985218048},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.41040000319480896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3824999928474426},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.3750999867916107},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.367900013923645},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.3582000136375427},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32690000534057617},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.3089999854564667},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2892000079154968},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.27810001373291016},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.2533000111579895},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23971179","doi":"https://doi.org/10.5281/zenodo.23971179","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23971179","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.23971180","doi":"https://doi.org/10.5281/zenodo.23971180","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23971180","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.23971179","doi":"https://doi.org/10.5281/zenodo.23971179","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23971179","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2050874459","https://openalex.org/W2083278065","https://openalex.org/W2962947988","https://openalex.org/W2969868369","https://openalex.org/W2975503246","https://openalex.org/W7203885300"],"related_works":["https://openalex.org/W7223576184","https://openalex.org/W2035219763","https://openalex.org/W7168924092","https://openalex.org/W7203536686","https://openalex.org/W2884650573","https://openalex.org/W87411297","https://openalex.org/W7100506654","https://openalex.org/W7221787258","https://openalex.org/W7162781125","https://openalex.org/W3026213405"],"abstract_inverted_index":{"Can":[0],"integrated":[1],"causal":[2],"geometry":[3],"retain":[4],"enough":[5],"information":[6],"to":[7,45,81,148],"recover":[8],"a":[9,20,28,87,97,101,134,139,191,202],"changing":[10],"gravitational":[11],"field?":[12],"We":[13,91],"study":[14],"clock-marked":[15],"prefix":[16],"Alexandrov":[17],"volumes":[18],"in":[19,67],"four-dimensional":[21],"plane":[22],"wave":[23],"with":[24,129,195],"fixed":[25],"polarisation.":[26],"On":[27],"seven-dimensional":[29],"even":[30],"bump-polynomial":[31],"family,":[32],"quadratic":[33,111],"volume":[34,95],"coefficients":[35],"at":[36],"28":[37],"prescribed":[38],"proper-time":[39],"depths":[40],"determine":[41],"every":[42],"profile":[43,203],"up":[44],"overall":[46],"sign.":[47],"Interval":[48],"rank":[49],"and":[50,63,70,100,118,144,151,187,221],"rational":[51],"sum-of-squares":[52],"certificates":[53],"place":[54],"the":[55,110,121,184,216],"lifted":[56],"inverse":[57],"margin":[58],"between":[59],"2.24":[60],"\u00d7":[61,65,161,175,199],"10\u207b\u2079":[62,66,200],"2.45":[64],"physical":[68,166],"L\u00b2":[69],"RMS":[71],"data":[72,149],"norms.":[73],"Certified":[74],"margins":[75],"decrease":[76],"strictly":[77],"through":[78],"dimensions":[79],"two":[80,211],"seven.":[82],"A":[83],"common-record":[84],"construction":[85],"supplies":[86],"quantitative":[88],"resolution":[89],"obstruction.":[90],"derive":[92],"an":[93,145,155],"exact":[94],"representation,":[96],"uniform":[98,141],"remainder,":[99],"conditional":[102,131],"clock/readout":[103],"budget.":[104],"Independent":[105],"finite-amplitude":[106],"forward":[107],"tests":[108,114],"support":[109],"expansion;":[112],"additional":[113],"examine":[115],"amplitude":[116],"scaling":[117],"departure":[119],"from":[120],"chosen":[122],"family.":[123],"The":[124],"result":[125],"establishes":[126],"mathematical":[127],"identifiability":[128],"quantified":[130],"stability.":[132],"For":[133],"profile-error":[135],"target":[136],"of":[137,159,210,215],"0.2,":[138],"conservative":[140],"remainder":[142,185],"constant":[143],"equal":[146],"allocation":[147],"error":[150,196,204],"fit":[152],"residual":[153,188],"give":[154],"optimistic":[156],"calibration":[157],"ceiling":[158],"2.21":[160],"10\u207b\u00b2\u00b2":[162],"after":[163],"optimisation":[164],"over":[165],"amplitude.":[167],"Its":[168],"one-standard-deviation":[169],"Poisson":[170],"comparison":[171],"is":[172],"about":[173],"2":[174],"10\u2074\u00b3":[176],"elements":[177],"per":[178],"diamond;":[179],"this":[180],"scale":[181],"depends":[182],"on":[183],"bound":[186],"allocation.":[189],"Separately,":[190],"common":[192],"coefficient":[193],"record":[194],"radius":[197],"1.76":[198],"forces":[201],"greater":[205],"than":[206],"0.712":[207],"for":[208],"one":[209],"admissible":[212],"truths,":[213],"independently":[214],"recovery":[217,224],"method.":[218],"Feasible":[219],"measurement":[220],"unrestricted":[222],"history":[223],"remain":[225],"open.":[226]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}
