{
  "abstract": "The same parts can form different wholes: a message chain differs from a broadcast even\n\nwhen the same people take part. This paper develops a small unit for describing such\n\narrangements and rules for combining its records into larger descriptions. An epistemic unit,\n\nor epit, has three ordered positions (A,B,C) and three pair channels, AB,BC,AC. Each\n\nchannel can be forward, inactive, or reverse, represented by +1, 0,−1. Each channel is one\n\ntrit, a three-valued entry, so the three channels give 27 configurations. Larger records are\n\nassembled by checking their shared relations and allowing a completed record to become\n\npart of another. For applications to knowledge, the proposed OETMI scheme connects\n\nthe subject (Ontology), observation (Epistemology), intended use (Teleology), assessment\n\n(Meta), and accepted result (Integration). The foundational result is that the epit is the\n\nminimal complete unit of relational distinction: three ports and three channels are necessary\n\nand sufficient for the seven local arrow patterns when self-connections and duplicate channels\n\nare excluded. If each named channel may be changed independently and the resulting\n\narrow pattern must remain known, all 27 configurations must stay distinguishable. Four\n\ncompatible triangular face records determine a tetrahedron’s six edge values. When a\n\nfinite observation leaves several possible wholes, the largest group of possibilities fixes the\n\nminimum number of extra labels for exact recovery. A selected vocabulary of twenty names\n\nand four declared return rules gives 556 initial objects, including 536 new outputs. Every\n\nexpression has one simplified form, and repeated construction follows an exact counting rule.\n\nDeciding the assertions such records encode requires a proof theory and an interpretation.\n\nIn a logical realization, an epit carries a theory, a proof, and a claim; we show that proof\n\nstatus cannot be separated from its theory when records from consistent effective arithmetic\n\ntheories are compared, that consistency certification has no fixed point under the standard\n\nsecond-incompleteness hypotheses, and that no internal arithmetic predicate supplies truth\n\nfor all encoded arithmetic sentences.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Perry J"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7xfmyry453d7b.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23610951",
  "fulltext_url": null,
  "id": "7xfmyry453d7b",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23610951",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7xfmyry453d7b.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:21:33Z",
      "native_id": "23610951",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23610951"
    }
  ],
  "subjects": [],
  "title": "\"What\" is an Epit: Mathematical Foundations of Epistemic Structure",
  "title_text": "\"What\" is an Epit: Mathematical Foundations of Epistemic Structure",
  "type": "preprint",
  "updated_at": "2026-11-07T12:21:33Z",
  "url": "https://research.draconitic.com/paper/7xfmyry453d7b",
  "venue": "Zenodo",
  "versions": []
}