{"id":"https://openalex.org/W7225043847","doi":"https://doi.org/10.5281/zenodo.23848995","title":"The taper and the gain: twelve bands of the ladder","display_name":"The taper and the gain: twelve bands of the ladder","publication_year":2026,"publication_date":"2026-11-01","ids":{"openalex":"https://openalex.org/W7225043847","doi":"https://doi.org/10.5281/zenodo.23848995"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23848995","doi":"https://doi.org/10.5281/zenodo.23848995","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23848995","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.23848995","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107475518","display_name":"James Norman Ibbotson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ibbotson, James Norman","raw_affiliation_strings":["Independent researcher"],"raw_orcid":"https://orcid.org/0009-0007-7439-2384","affiliations":[{"raw_affiliation_string":"Independent researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5107475518"],"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/T11166","display_name":"Analytic Number Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/zeros-of-the-riemann-zeta-function","display_name":"Riemann zeta function zeros","score":0.9160000085830688},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.7689999938011169},{"id":"https://openalex.org/keywords/prime-numbers","display_name":"prime numbers","score":0.5989999771118164},{"id":"https://openalex.org/keywords/prime-counting-function","display_name":"prime counting function","score":0.4580000042915344},{"id":"https://openalex.org/keywords/riemann-xi-function","display_name":"Riemann xi function","score":0.5270000100135803},{"id":"https://openalex.org/keywords/zeros-of-the-zeta-function","display_name":"zeros of the zeta function","score":0.5709999799728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45899999141693115},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3774000108242035},{"id":"https://openalex.org/C177291462","wikidata":"https://www.wikidata.org/wiki/Q423038","display_name":"Active listening","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3416999876499176},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3197999894618988},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31869998574256897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2833999991416931},{"id":"https://openalex.org/C50566430","wikidata":"https://www.wikidata.org/wiki/Q1817859","display_name":"Speed wobble","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2669000029563904},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.25839999318122864},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23848995","doi":"https://doi.org/10.5281/zenodo.23848995","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23848995","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.23848996","doi":"https://doi.org/10.5281/zenodo.23848996","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23848996","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.23848995","doi":"https://doi.org/10.5281/zenodo.23848995","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23848995","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":0,"referenced_works":[],"related_works":["https://openalex.org/W656361320","https://openalex.org/W7214245973","https://openalex.org/W3014032700","https://openalex.org/W7168674746","https://openalex.org/W6949776353","https://openalex.org/W7134947669","https://openalex.org/W7110919621","https://openalex.org/W2398858091","https://openalex.org/W7130953027","https://openalex.org/W7212056923"],"abstract_inverted_index":{"The":[0,101],"runner":[1,82],"walks":[2],"from":[3,20,41,63],"one":[4,89],"zero":[5,38],"to":[6,14,68],"the":[7,21,24,30,36,43,60,81,118],"next.":[8],"To":[9],"do":[10],"it,":[11],"it":[12],"listens":[13],"a":[15],"bank":[16],"of":[17,26,59,99,121],"tones":[18,28],"built":[19],"primes,":[22],"and":[23,94,111,113],"sum":[25],"those":[27],"is":[29,76,95,114],"wobble":[31],"that":[32,51],"says":[33],"how":[34],"far":[35],"next":[37],"has":[39],"drifted":[40],"where":[42],"smooth":[44],"count":[45],"puts":[46],"it.":[47],"Three":[48],"things":[49],"about":[50],"listening":[52],"were":[53],"measured":[54],"here,":[55],"on":[56,91],"twelve":[57],"stretches":[58],"ladder":[61],"running":[62],"height":[64],"seventy-seven":[65],"thousand":[66,70,78],"up":[67],"three":[69,71],"hundred":[72],"million.":[73],"Every":[74],"stretch":[75],"six":[77],"consecutive":[79],"zeros":[80],"found":[83],"for":[84,117],"itself.":[85],"This":[86],"record":[87],"holds":[88,105],"paper":[90,107],"its":[92,109],"own":[93],"refreshed":[96],"every":[97,106],"couple":[98],"months.":[100],"complete":[102],"deposit,":[103],"10.5281/zenodo.21788037,":[104],"with":[108],"code":[110],"data":[112],"updated":[115],"first;":[116],"newest":[119],"version":[120],"this":[122],"paper,":[123],"go":[124],"there.":[125]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-11-02T00:00:00"}
