{ "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-12T09:01:54Z", "providers": [ "Codex" ], "breadth": "recalled by Codex without web access - no source was read", "missingProviders": [], "pass": 2, "cost": { "grok": { "seconds": 14.5, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a094d9-2fb0-75e3-81a3-15218027cf18\n--------\nuser\nDescribe what is already known about one registered thing. Answer as JSON only, no prose around it.\n\nThing: decad\nSense to describe: (none recorded)\nDomain code: XCT.QLT\nAlso known as: (none)\n\n\nContext for this batch of 1001 things:\n# Batch 043: 1001 registere", "usd": 0.0, "recall": true }, "codex": { "seconds": 58.6, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a094d9-2fb1-7523-a04c-3f35c6008b9a\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: decad\nRegistry id: vr.tr.decad\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into this entry: (none)\n\n\nContext for " } }, "enrichment": { "pass": 3, "engine": "claude", "producedAt": "2026-10-06T12:00:00Z", "ingestedAt": "2026-10-06T08:13:54+00:00", "fields": [ "agent_conduct", "ethics", "owners" ] }, "gate": { "passed": true, "version": "1.0", "at": "2026-10-08T19:09:52+00:00", "evidence": [ "completeness 1.00", "sense: Wikidata description", "2 live sources", "review by codex: pass" ] } }, "metaModel": { "id": "THING-Q2643280", "registryId": "vr.tr.decad", "name": "decad", "version": "0.1.0-research.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q2643280/", "model": { "registry_id": "vr.tr.decad", "name": "decad", "purpose": "Enable an agent to recognise, verify and manage a decad as a group or series of exactly ten countable members under an explicit counting rule.", "definition": "A decad is a group or set of ten, with a historical philosophical use for the number ten understood as a complete whole in Pythagorean thought.", "scope_statement": "Provisionally interpret vr.tr.decad as the collective concept of ten members, consistent with [Wikidata's decad entry](https://www.wikidata.org/wiki/Q135236590); own its membership boundary, counting convention, arrangement and qualification as a ten-member whole, pending confirmation of the registry's intended sense.", "in_scope": [ "Groups or series whose defining member count is exactly ten", "Rules determining what constitutes one counted member", "Membership evidence and verification of the ten-member total", "Distinctions between ten distinct entities, ten occurrences and ten occupied positions", "Conditions under which changes preserve or invalidate decad status" ], "out_of_scope": [ "The abstract number ten and its general arithmetic properties", "Calendar decades and other durations", "Logarithmic intervals spanning a factor of ten", "Musical decads whose identity requires particular relationships among notes", "Specific named religious, philosophical or literary collections and their substantive content", "Decimal notation and base-ten numeral systems" ], "distinguishing_features": [ "A candidate must identify what is being grouped; the numeral 10 alone does not identify a decad.", "Exactly ten members must qualify under the declared counting rule; an approximate count or a capacity of ten is insufficient.", "Ten repeated occurrences may qualify as a series of ten occurrences, while failing a requirement for ten distinct entities.", "A tenfold ratio does not establish ten members and therefore does not establish a decad in this scope.", "A ten-member count establishes numerical qualification but does not establish the additional identity conditions of a specialised named decad." ], "characteristics": [ { "name": "Counted unit", "kind": "category", "unit_or_values": "Entity, occurrence, position, subgroup or explicitly defined domain unit", "why_it_matters": "Determines what contributes one to the total." }, { "name": "Verified member count", "kind": "measurement", "unit_or_values": "Nonnegative integer in declared counted units; unknown when evidence is insufficient", "why_it_matters": "A verified count of ten is the numerical qualification condition." }, { "name": "Collection form", "kind": "category", "unit_or_values": "Unordered set, multiset or ordered series", "why_it_matters": "Determines whether repetition and order affect the representation." }, { "name": "Member equivalence rule", "kind": "category", "unit_or_values": "Same entity, same occurrence, same position or a documented domain equivalence", "why_it_matters": "Prevents duplicate descriptions from silently becoming additional members." }, { "name": "Membership boundary", "kind": "relation", "unit_or_values": "Candidate whole linked to included members and an inclusion rule", "why_it_matters": "Separates the intended ten from surrounding or related items." }, { "name": "Qualification state", "kind": "state", "unit_or_values": "Verified ten, verified non-ten, unresolved", "why_it_matters": "Separates a demonstrated decad from a label or incomplete enumeration." }, { "name": "Identity basis", "kind": "category", "unit_or_values": "Fixed membership, ordered membership or continuing group with replaceable members", "why_it_matters": "Determines whether replacement or reordering creates a different collective." } ], "affordances": [ "Enumerate proposed members and verify whether the count is exactly ten.", "Resolve duplicates according to the declared member equivalence rule.", "Compare two decads for equal count, shared members and collective identity.", "Construct a ten-member grouping from eligible candidates under a stated selection rule.", "Revalidate decad status after additions, removals, replacements or changes to the counting rule.", "Route calendar, logarithmic and specialised uses of the name to their appropriate neighbouring models." ], "agent_conduct": { "may": [ "Explain the term and its use in Pythagorean thought from reliable sources.", "Use the word decad correctly for a set of ten." ], "must_not": [ "Present numerological claims about the decad as scientific fact.", "Attribute doctrines to Pythagoras or his followers without sources.", "Confuse decad with decade when the meaning differs." ], "requires_human": [ "Publishing interpretations of ancient philosophical texts as authoritative." ] }, "ethics": { "considerations": [ "Ancient ideas are easily distorted when quoted without sources.", "Number mysticism can be sold to people as guidance it cannot give." ], "affected_parties": [ "Students and readers", "Scholars of ancient philosophy" ] }, "owners": { "steward": "Nobody owns it; it is a shared word and idea.", "master_systems": [] }, "what_it_is_for": [ "A decad is used when ten members or objects are treated as a single group under an explicit counting rule.", "The term also appears in historical philosophy when discussing ten as a complete numerical whole.", "In cataloguing or analysis, it requires a clear definition of membership and of what counts as one member." ], "failure_modes_and_hazards": [ "Duplicate or omitted members can invalidate the claimed count and propagate errors into records.", "Ambiguous counting rules can cause people or agents to group different sets under the same label.", "Confusing a decad with a period of ten years can produce incorrect interpretations of historical or descriptive text." ], "facets_not_applicable": { "interfaces": "The general concept of a group of ten has no dedicated applicable standard, law or official classification.", "recognition": "A decad is an abstract grouping whose membership requires counting rather than distinctive visual features." } }, "sources": [ { "id": "wikidata", "title": "Wikidata item Q2643280: decad", "url": "https://www.wikidata.org/wiki/Q2643280", "url_status": "live", "what_it_supports": "identity and sense of the item", "checked_by": "wikidata-api" }, { "id": "wikipedia-de", "title": "Wikipedia (de): Dekade (Einheit)", "url": "https://de.wikipedia.org/wiki/Dekade_%28Einheit%29", "url_status": "live", "checked_by": "wikidata-api sitelink", "what_it_supports": "general description of the item" } ], "structure": { "bundles": [ { "id": "decad-sense-and-boundary", "name": "Decad sense and boundary", "description": "Establish which meaning of decad is intended before applying a ten-member test.", "rationale": "The registry has no definition, and the word has multiple recorded senses.", "layers": [ { "id": "collective-sense", "name": "Collective sense", "description": "Identify the reading that treats a decad as a group or series of ten.", "findings": [ { "id": "provisional-registry-interpretation", "name": "Provisional registry interpretation", "description": "The collective reading has direct lexical support in [Wikidata](https://www.wikidata.org/wiki/Q135236590), but its correspondence to this registry id remains to be verified.", "questions": [ { "text": "Does the registry's originating record identify a group or series of ten?", "kind": "provenance", "id": "provisional-registry-interpretation-q01" }, { "text": "What example would the registry curator accept as an instance of this entry?", "kind": "definition", "id": "provisional-registry-interpretation-q02" } ] } ] }, { "id": "competing-word-senses", "name": "Competing word senses", "description": "Separate collective cardinality from other meanings of the same word.", "findings": [ { "id": "sense-specific-routing", "name": "Sense-specific routing", "description": "[Collins](https://www.collinsdictionary.com/dictionary/english/decad) records numerical, musical and decade-variant senses; the collective interpretation must therefore be selected explicitly.", "questions": [ { "text": "Does this usage denote ten members, the number ten, a duration or a specialised musical structure?", "kind": "boundary", "id": "sense-specific-routing-q01" }, { "text": "Which neighbouring model should receive a usage whose defining condition is not collective membership?", "kind": "action", "id": "sense-specific-routing-q02" } ] } ] } ] }, { "id": "ten-member-counting", "name": "Ten-member counting", "description": "Make the numerical test reproducible by declaring the counted unit and duplication rule.", "rationale": "Ten records, ten entities and ten occurrences can produce different qualification results.", "layers": [ { "id": "unit-of-membership", "name": "Unit of membership", "description": "Specify what contributes one member.", "findings": [ { "id": "one-counted-member", "name": "One counted member", "description": "The proposed operationalisation requires a stable counting level before evaluating the total.", "questions": [ { "text": "Is one member an individual object, an occurrence, a position or an entire subgroup?", "kind": "definition", "id": "one-counted-member-q01" }, { "text": "Are containers or subgroups being counted alongside their contents, mixing counting levels?", "kind": "measurement", "id": "one-counted-member-q02" } ] } ] }, { "id": "distinctness-and-total", "name": "Distinctness and total", "description": "Apply the equivalence rule and determine whether the resulting count is ten.", "findings": [ { "id": "ten-after-equivalence", "name": "Ten after equivalence", "description": "Qualification depends on ten countable members after resolving duplicates under the declared collection form.", "questions": [ { "text": "Which apparent members refer to the same entity, and should repeated occurrences count separately?", "kind": "measurement", "id": "ten-after-equivalence-q01" }, { "text": "Does the resulting enumeration contain exactly ten qualifying members?", "kind": "measurement", "id": "ten-after-equivalence-q02" }, { "text": "Would switching from occurrence counting to distinct-entity counting change the result?", "kind": "boundary", "id": "ten-after-equivalence-q03" } ] } ] } ] }, { "id": "ten-as-a-whole", "name": "Ten as a whole", "description": "Describe the grouping boundary and any ordering that makes these ten a particular collective.", "rationale": "Equal cardinality does not make two groups the same decad.", "layers": [ { "id": "grouping-boundary", "name": "Grouping boundary", "description": "Explain why these members are included in the candidate whole.", "findings": [ { "id": "specified-ten", "name": "Specified ten", "description": "A proposed instance needs an explicit selection, enumeration or membership rule identifying the relevant ten.", "questions": [ { "text": "What rule or act of selection brings these ten members into one group?", "kind": "definition", "id": "specified-ten-q01" }, { "text": "Which nearby or related items are excluded, and by what rule?", "kind": "boundary", "id": "specified-ten-q02" } ] } ] }, { "id": "order-and-collective-identity", "name": "Order and collective identity", "description": "Distinguish a set of ten from a particular ten-position sequence.", "findings": [ { "id": "same-ten-different-arrangement", "name": "Same ten, different arrangement", "description": "The model should record whether permuting the ten members changes only presentation or changes the identity of the represented series.", "questions": [ { "text": "Does each member have a significant position in an ordered series of ten?", "kind": "definition", "id": "same-ten-different-arrangement-q01" }, { "text": "Would reordering the same ten members produce a different instance under the adopted identity rule?", "kind": "boundary", "id": "same-ten-different-arrangement-q02" } ] } ] } ] }, { "id": "decad-verification-and-change", "name": "Decad verification and change", "description": "Assess evidence for ten-member status and determine how changes affect that status.", "rationale": "An asserted or historically named decad may lack a verified current enumeration of ten.", "layers": [ { "id": "evidence-for-ten", "name": "Evidence for ten", "description": "Separate the asserted total from a reproducible membership count.", "findings": [ { "id": "enumerated-versus-asserted-ten", "name": "Enumerated versus asserted ten", "description": "The proposed verification rule distinguishes an evidenced total of ten from a name, expected capacity or partial list.", "questions": [ { "text": "What inspected enumeration or observation supports the claim of ten members?", "kind": "provenance", "id": "enumerated-versus-asserted-ten-q01" }, { "text": "Is the list complete, or could missing or unexamined members change the total?", "kind": "measurement", "id": "enumerated-versus-asserted-ten-q02" }, { "text": "Should qualification remain unresolved because the evidence establishes only an intended count?", "kind": "action", "id": "enumerated-versus-asserted-ten-q03" } ] } ] }, { "id": "changes-to-the-ten", "name": "Changes to the ten", "description": "Reassess count and collective identity after membership changes.", "findings": [ { "id": "count-preservation-and-replacement", "name": "Count preservation and replacement", "description": "Adding or removing a counted member changes numerical qualification; replacing one may preserve ten-member status while changing collective identity.", "questions": [ { "text": "After the proposed change, will exactly ten members still qualify under the same counting rule?", "kind": "measurement", "id": "count-preservation-and-replacement-q01" }, { "text": "Does replacing a member preserve this group's identity or create a new ten-member collective?", "kind": "boundary", "id": "count-preservation-and-replacement-q02" }, { "text": "Should the agent update qualification, record a successor collective or retain only a historical decad label?", "kind": "action", "id": "count-preservation-and-replacement-q03" } ] } ] } ] }, { "id": "evidence-and-external-alignment", "name": "Evidence and external alignment", "description": "What the world already says about this thing, gathered so the model can be checked against it.", "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.", "layers": [ { "id": "reported-evidence", "name": "Reported evidence", "description": "Findings from the breadth pass, kept separate from the structural claims.", "findings": [ { "id": "evidence-confidence-notes", "name": "Check these first", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "No sense is recorded, so the intended registry meaning needs checking: the general grouping and the philosophical use should not be assumed identical.", "The philosophical interpretation is a recall-based summary; specific doctrines and their historical attribution require verification." ], "questions": [ { "id": "evidence-confidence-notes-q01", "text": "Which of these check these first hold for the sense of decad this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-real-world-use", "name": "Real-world use", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Naming a collection or grouping of ten items.", "Discussing the significance of ten in ancient Pythagorean number philosophy." ], "questions": [ { "id": "evidence-real-world-use-q01", "text": "Which of these real-world use hold for the sense of decad this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-measurements", "name": "Typical measurements", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ { "quantity": "Number of members in a decad understood as a collection", "typical_range": "Exactly 10", "unit": "items" } ], "questions": [ { "id": "evidence-measurements-q01", "text": "Which of these typical measurements hold for the sense of decad this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-failure-modes-and-hazards", "name": "Failure modes and hazards", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Mistaking an unspecified decad for a period of ten years.", "Treating philosophical claims about the perfection of ten as mathematical properties." ], "questions": [ { "id": "evidence-failure-modes-and-hazards-q01", "text": "Which of these failure modes and hazards hold for the sense of decad this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-neighbours", "name": "Neighbouring kinds and how to tell them apart", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ { "name": "ten", "difference": "Ten is the number; decad can name a collection of that size or its philosophical interpretation." }, { "name": "decade", "difference": "In ordinary modern English, decade usually denotes ten years; decad need not denote a time interval." }, { "name": "tetractys", "difference": "The tetractys is a triangular arrangement of ten points in four rows; a decad does not require that arrangement." } ], "questions": [ { "id": "evidence-neighbours-q01", "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of decad this model covers, and on what evidence?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Does the originating registry record confirm the collective sense represented by Wikidata Q135236590, or intend a numerical or specialised sense?", "Does an existing Vercy model already own ten-member collectives, requiring this registry entry to link to it?", "Should registry-level decad membership permit repeated occurrences, or require ten distinct entities?", "Which attested uses treat a decad as a continuing group with replaceable members rather than a fixed set or sequence?", "How should historically named decads with disputed, lost or additional members be linked to the strict ten-member concept?" ], "statistics": { "bundles": 5, "layers": 9, "findings": 13, "questions": 24 } }