{"id":"https://openalex.org/W7161544837","doi":"https://doi.org/10.48550/arxiv.2605.15454","title":"Reasoning Models Don't Just Think Longer, They Move Differently","display_name":"Reasoning Models Don't Just Think Longer, They Move Differently","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161544837","doi":"https://doi.org/10.48550/arxiv.2605.15454"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.15454","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15454","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.15454","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107671888","display_name":"Anders Gj\u00f8lbye","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gj\u00f8lbye, Anders","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135329981","display_name":"Lars Kai Hansen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hansen, Lars Kai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136411768","display_name":"Sanmi Koyejo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Koyejo, Sanmi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.14190000295639038,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.14190000295639038,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10028","display_name":"Topic Modeling","score":0.11129999905824661,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12090","display_name":"Language and cultural evolution","score":0.09019999951124191,"subfield":{"id":"https://openalex.org/subfields/3316","display_name":"Cultural Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.8636999726295471},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5332000255584717},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4650999903678894},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4397999942302704},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.3797000050544739},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.30219998955726624}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.8636999726295471},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5332000255584717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5242000222206116},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4397999942302704},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3797000050544739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36800000071525574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3481000065803528},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3221000134944916},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.301800012588501},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C174839445","wikidata":"https://www.wikidata.org/wiki/Q1134386","display_name":"Lock (firearm)","level":2,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.15454","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15454","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.15454","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15454","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.6686620116233826}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Reasoning-trained":[0],"language":[1],"models":[2,114],"often":[3],"spend":[4],"more":[5,25,103],"tokens":[6],"on":[7,76,190],"harder":[8,100],"problems,":[9],"but":[10,125],"longer":[11,59],"chains":[12],"of":[13,186],"thought":[14],"do":[15,136],"not":[16,137],"show":[17,102,145,171],"whether":[18],"a":[19,29,164],"model":[20],"is":[21,53,123],"merely":[22],"computing":[23],"for":[24,166],"steps":[26],"or":[27],"following":[28],"different":[30],"internal":[31],"trajectory.":[32],"We":[33],"study":[34],"this":[35],"distinction":[36],"through":[37],"hidden-state":[38],"trajectories":[39,106],"during":[40],"chain-of-thought":[41],"generation":[42,57],"across":[43,86],"competitive":[44],"programming,":[45],"mathematics,":[46],"and":[47,107,130,142,154,170],"Boolean":[48,131],"satisfiability.":[49,132],"Raw":[50],"trajectory":[51,74,84,168,181],"geometry":[52,85],"strongly":[54],"shaped":[55],"by":[56],"length:":[58],"generations":[60],"mechanically":[61],"alter":[62],"path":[63],"statistics,":[64],"so":[65],"difficulty-dependent":[66],"comparisons":[67],"are":[68],"misleading":[69],"without":[70],"adjustment.":[71],"After":[72],"residualizing":[73],"statistics":[75],"length,":[77],"difficulty":[78],"remains":[79],"systematically":[80],"coupled":[81],"to":[82],"corrected":[83,105,148,180],"all":[87],"domains":[88],"studied.":[89],"The":[90],"clearest":[91],"reasoning-specific":[92],"separation":[93],"appears":[94],"in":[95,112,116,128],"the":[96,139,184,187,191],"code":[97],"domain,":[98],"where":[99],"problems":[101],"direct":[104],"less":[108],"heterogeneous":[109],"local":[110],"curvature":[111],"reasoning-trained":[113],"than":[115],"matched":[117],"instruction-tuned":[118],"baselines.":[119],"Corrected":[120],"difficulty-geometry":[121],"coupling":[122,149],"weaker,":[124],"still":[126],"present,":[127],"mathematics":[129],"Prompt-stage":[133],"linear":[134],"probes":[135],"mirror":[138],"code-domain":[140],"separation,":[141],"behavioral":[143],"annotations":[144],"that":[146,172],"stronger":[147],"co-occurs":[150],"with":[151,178,183],"strategy":[152],"shifts":[153],"uncertainty":[155],"monitoring.":[156],"Together,":[157],"these":[158],"findings":[159],"establish":[160],"length":[161],"correction":[162],"as":[163],"prerequisite":[165],"generation-time":[167],"analysis":[169],"reasoning":[173],"training":[174],"can":[175],"be":[176],"associated":[177],"distinct":[179],"geometry,":[182],"strength":[185],"effect":[188],"depending":[189],"domain.":[192]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-19T00:00:00"}
