{"id":"https://openalex.org/W7225261406","doi":"https://doi.org/10.5281/zenodo.23942460","title":"The Bridge Implication for the (3,4,\u221e) Lattice Form: Restriction Lemma for \u03a90","display_name":"The Bridge Implication for the (3,4,\u221e) Lattice Form: Restriction Lemma for \u03a90","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225261406","doi":"https://doi.org/10.5281/zenodo.23942460"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23942460","doi":"https://doi.org/10.5281/zenodo.23942460","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23942460","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":null,"license_id":null,"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.23942460","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147864777","display_name":"Benjamin Frohman","orcid":"https://orcid.org/0009-0006-7068-3718","observed_orcids":["https://orcid.org/0009-0006-7068-3718"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Frohman, Benjamin Stanley","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0006-7068-3718","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147864777"],"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.30000001192092896,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.30000001192092896,"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"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.14219999313354492,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.09130000323057175,"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/nondegeneracy","display_name":"nondegeneracy","score":0.8410000205039978},{"id":"https://openalex.org/keywords/invariant-forms","display_name":"invariant forms","score":0.6990000009536743},{"id":"https://openalex.org/keywords/lean-formalization","display_name":"Lean formalization","score":0.5199999809265137}],"concepts":[{"id":"https://openalex.org/C153180980","wikidata":"https://www.wikidata.org/wiki/Q19776675","display_name":"Commit","level":2,"score":0.8447999954223633},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5358999967575073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4702000021934509},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4262000024318695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39969998598098755},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.35530000925064087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34310001134872437},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3328999876976013},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.326200008392334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3149000108242035},{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2646999955177307},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.2583000063896179}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23942460","doi":"https://doi.org/10.5281/zenodo.23942460","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23942460","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23942461","doi":"https://doi.org/10.5281/zenodo.23942461","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23942461","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23942460","doi":"https://doi.org/10.5281/zenodo.23942460","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23942460","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":null,"license_id":null,"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":0,"referenced_works":[],"related_works":["https://openalex.org/W7116737654","https://openalex.org/W7165031976","https://openalex.org/W7131120770","https://openalex.org/W7204464850","https://openalex.org/W7072099818","https://openalex.org/W847018430","https://openalex.org/W7165482645","https://openalex.org/W7133342819","https://openalex.org/W2057260352","https://openalex.org/W7224114151"],"abstract_inverted_index":{"A":[0],"short":[1],"note":[2],"recording":[3],"the":[4,13,17,21,27,34,50],"lattice":[5],"bridge":[6,22],"checked":[7],"in":[8,11,46],"OmegaZero34/TetherInterface.lean.":[9],"Proved":[10],"Lean:":[12],"classification":[14],"uniqueness_over_Q":[15],"of":[16],"invariant":[18],"form,":[19],"and":[20,37,57],"implication":[23],"restriction_lemma":[24],"(nondegeneracy":[25],"forces":[26],"scalar":[28],"to":[29],"be":[30],"nonzero).":[31],"Not":[32],"proved:":[33],"geometric":[35],"hypotheses,":[36],"X\u2243S^6":[38],"is":[39],"not":[40],"claimed.":[41],"The":[42],"Lean":[43],"development":[44],"builds":[45],"CI":[47],"(green":[48],"on":[49],"commit":[51,64],"archived":[52],"here)":[53],"with":[54],"no":[55,58],"sorry":[56],"user-declared":[59],"axioms.":[60],"Source:":[61],"https://github.com/BenFrohman/OmegaZero34":[62],"at":[63],"222e48d5db30f3b2097b4e8ca5bfc38b0a16b2ea.":[65]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}
