[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-85503-en":3,"doc-seo-85503-105":29,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":13,"seo_description":14,"update_tm":27,"read_time":28},85503,34359740700684,"Finn","https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487",8,"Research & Report","Referential Regimes: Transformation-Invariant Identity for Neutral Substrates","Data systems operate amid persistent legal, political, and analytic disagreement, preventing reliance on a single interpretive authority. A neutral substrate supplies stable shared reference without requiring agreement about causal or normative interpretation by fixing reference structurally and delegating interpretation to extension layers. The paper derives the required identity structure using transformation invariance, identifying how routine record operations—re-expression, annotation, refinement, decomposition, reassignment, forking, and provenance extension—yield a structural basis for individuation.","arXiv :2601 . 16 152v2 [ cs .LO] 10 Jul 2026  \nReferential Regimes: Transformation-Invariant Identity for Neutral Substrates  \nDenise M. Case  \nNorthwest Missouri State University, Computer Science and Information Systems, Maryville, MO, USA  \nAbstract  \nData systems increasingly operate under persistent legal, political, and analytic disagreement, where no single interpretive authority can be assumed. A neutral substrate provides stable shared reference without requiring agreement about causal or normative interpretation: it fixes reference structurally and leaves interpretation to extension layers, following the neutrality-by-design constraint developed in Neutral Substrates (Case 2026) .  \nThis paper derives the identity structure such a substrate requires, using a small transformation algebra rather than a list of kinds. We treat identity as transformation-invariance: a referent is individuated by the admissible operations that preserve it. Once the routine operations that record systems perform are fixed, including re-expression, annotation, refinement, decomposition, reassignment, forking, and provenance extension, individuation becomes a structural calculation.  \nThat calculation exposes a mismatch between reference kinds and identity regimes. An accountability substrate must refer to six kinds of thing: obligation-bearers, rules, occurrences, scopes, records, and plain referents. Three of those kinds are assigned more than one admissible basis. A scope may be fixed by its extension or by its structure; a rule  \nby its content or by its structure; a plain referent by its locus or by its object. A single routine operation separates each pair: decomposition separates the two scope readings, refinement the two rule readings, and forking the two plain-referent readings.  \nCounting reference kinds gives six; transformation analysis forces at least nine identity regimes. The three additional regimes add no new kind to the inventory. They follow from how identity behaves under operations the substrate cannot avoid performing, and any attempt to collapse them reappears as a hidden regime that persistent disagreement cannot hold fixed.  \nThe result is a conditional lower bound, monotone in the relevant sense: a richer transformation basis may leave the bound unchanged or force further splits, but it cannot erase a distinction already witnessed here. Its content is diagnostic. The additional regimes correspond to distinctions often handled by modeling convention, but such conventions cannot substitute for regime-level identity commitments under persistent disagreement.  \nKeywords: formal ontology; identity and persistence; neutral substrates; extension stability; accountability; causal commitment; normative commitment  \n1 Introduction  \nModern accountability systems increasingly operate under legal, institutional, and analytic disagreement. A shared data substrate cannot assume a single interpretation, and it must preserve stable reference as records are amended, forked, refined, decomposed, aggregated, and reclassified. This paper studies the identity conditions required by that setting.  \nThe analysis treats identity as transformation-invariance. An identity regime states the operations that preserve sameness for a carrier under a declared identity basis. Once the ordinary operations of record systems are fixed, individuation becomes a structural question: the identity basis preserved across  \nthose operations determines sameness. A system may collapse a distinction at the substrate level and recover it through a role, flag, contextual predicate, workflow state, schema convention, or application-level discriminator. That recovered distinction is a hidden regime.  \nFor accountability substrates the inventory has six carrier kinds: obligationbearers, rules, occurrences, scopes, records, and plain referents. Identity fixes sameness under transformation, relative to a declared basis. Three carrier kinds admit more than one basis in","cbCaimMDlUal5pvH","https://ap.wps.com/l/cbCaimMDlUal5pvH","pdf",368795,1,55,"English","en",105,"# Introduction\n# Reference Inventory\n# Transformation Algebra\n# Core Identity Regimes\n# Lower Bound Proof\n# Core Regime Assignment","[{\"question\":\"What problem does the neutral substrate address in accountability data systems?\",\"answer\":\"It addresses persistent disagreement by providing stable reference without assuming a single interpretive authority, fixing reference structurally rather than resolving causal or normative interpretation upfront.\"},{\"question\":\"How does the paper define identity in terms of transformations?\",\"answer\":\"Identity is treated as transformation-invariance: a referent is individuated by the admissible operations that preserve it, once the standard routine operations of record systems are fixed.\"},{\"question\":\"Why does the paper conclude that at least nine identity regimes are required?\",\"answer\":\"Six carrier kinds provide a baseline of six regimes, and three additional witnessed splits each add a regime; attempts to collapse a split either change preserving transformations or reintroduce the distinction as a hidden regime.\"}]",1784204048,139,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":85,"head_meta":87,"extra_data":89,"updated_unix":27},"referential-regimes-transformation-invariant-identity-for-neutral-substrates","",{"@graph":35,"@context":84},[36,53,67],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,50],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/document/","Document",2,{"item":48,"name":12,"@type":42,"position":49},"https://docshare.wps.com/document/research-report/",3,{"item":51,"name":13,"@type":42,"position":52},"https://docshare.wps.com/document/referential-regimes-transformation-invariant-identity-for-neutral-substrates/85503/",4,{"url":51,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":61,"encodingFormat":60,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":40,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-16",true,{"@type":64,"interactionType":65,"userInteractionCount":4},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"What problem does the neutral substrate address in accountability data systems?","Question",{"text":74,"@type":75},"It addresses persistent disagreement by providing stable reference without assuming a single interpretive authority, fixing reference structurally rather than resolving causal or normative interpretation upfront.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"How does the paper define identity in terms of transformations?",{"text":79,"@type":75},"Identity is treated as transformation-invariance: a referent is individuated by the admissible operations that preserve it, once the standard routine operations of record systems are fixed.",{"name":81,"@type":72,"acceptedAnswer":82},"Why does the paper conclude that at least nine identity regimes are required?",{"text":83,"@type":75},"Six carrier kinds provide a baseline of six regimes, and three additional witnessed splits each add a regime; 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