16_STACK_ARITHMETICA/ARITHMETICA_SOURCE

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# ARITHMETICA SOURCE REGISTER line 1
## I. Primary development substrates line 7
### ARITH-COMPRESSED-JSON-01 line 9
Path: line 11
Declared source identity: line 15
Registered interpretation: line 22
The source is preserved unchanged in the archive. Its internal authority labels line 26
operative resolution. line 28
### ARITH-GDOC-NUMERIC-ONTOLOGY-01 line 30
Stable Google Drive identity: line 32
Google document: line 36
Registered interpretation: line 44
The flattened derivational memory and machine-readable extraction are: line 48
an independent execution authority. Google Drive relocation remains line 54
## II. Distribution record line 57
## III. Recovered definitions and fixtures line 69
The Google corpus supplies definitions absent from the compressed JSON: line 71
Recovered historical arithmetic fixtures include: line 78
These are fixtures and derivational evidence. They do not bound every lawful line 88
user-declared rule. line 89
## IV. Architectural normalizations line 91
2. Recast ARITHMETICA as controlled and traceable generation under admitted line 94
3. Preserved both directions: line 96
5. Made TENET ARITHMETICA the quantitative foundation of GRAPHUS COMMUNIS line 99
7. Required GRAPHUS disclosure before interpretive elaboration. line 103
8. Defined traversal as textual self-binding emulation under coherence line 104
9. Separated the former monolithic OPERA artifact into three independently line 106
10. Archived the consumed compressed JSON outside the operative stack while line 108
## V. Remaining open questions line 111
These gaps remain visible and must not be silently filled. line 119
## VI. Authority boundary line 121
or HTML mirror mutation. line 126

# ARITHMETICA SOURCE REGISTER Version: `2.1.0-ARITHMETICA-ARCHIVED-SOURCE-REGISTER` Status: `INTEGRATION PROVENANCE / NON-RUNTIME` Authority: `USER / HUMAN CONTROL PLANE` ## I. Primary development substrates ### ARITH-COMPRESSED-JSON-01 Path: `00_ARCHIVED/INTEGRATED_CANDIDATES/STACK_ARITHMETICA_SUBSTRATES/ARITHMETICA STACK COMPRESSED.json` Declared source identity: - artifact ID: `KERNEL-ARITHMETICA`; - version: `1.0.0-KERNEL-ARITHMETICA-EXECUTABLE`; - class: `SIGMA_SATOR`; - internal status: `ACTIVE_RUNTIME_KERNEL`. Registered interpretation: `DEVELOPMENT SUBSTRATE / DERIVED JSON / NON-AUTHORITATIVE / NON-RUNTIME` The source is preserved unchanged in the archive. Its internal authority labels do not promote it or the textual stack, and archive placement prevents operative resolution. ### ARITH-GDOC-NUMERIC-ONTOLOGY-01 Stable Google Drive identity: `1Eb3zAtQ4oZ_F9f4gewRe14qdBIT5TUM4r6It8Z8x5IU` Google document: - title: `Numeric ontology`; - document ID: `1Eb3zAtQ4oZ_F9f4gewRe14qdBIT5TUM4r6It8Z8x5IU`; - inspected source revision: `AIroW34y3EvqwFC9p01FqpsvxJvUu7G-LEBaBfXP5qzqxsuV6Bl0teku2B21UdEyEnizsG1Mj6EsnuCLE-9Dtg`; - inspected tab count: `19`. Registered interpretation: `PRIMARY DERIVATIONAL CORPUS / HUMAN-CONTROLLED / NON-RUNTIME` The flattened derivational memory and machine-readable extraction are: - `LIBER_EX_OPERAE_ARITHMETICA.md`; - `ARITHMETICA_OPERAE_DERIVATION_DATASET.json`. They preserve source identity and revision. They are auxiliary substrate, not an independent execution authority. Google Drive relocation remains user-managed; this slice does not move or rename the document. ## II. Distribution record | Source region | Integrated artifact | Transformation | |---|---|---| | JSON `tenet.*` and doctrinal tabs | TENET | expanded state-space, causal, cardinal, and projection invariants | | JSON `rotas` and ladder/matrix tabs | ROTAS | restored five-class order and typed topology/reduction contracts | | JSON `arepo` and CARCER records | AREPO | expanded input, rule, transition, and reduction admission gates | | JSON `opera`, Reports history, OPERA Q tab | three OPERA artifacts | separated qualitative-from-quantitative, quantitative-from-qualitative, and coupled mechanisms | | JSON `sator` and Reports | SATOR | expanded trace, graph-first, decision, and interpretive disclosure | | historical OPERA phases | LIBER / dataset | flattened as derivational memory and reusable fixtures | | numeric definitions and relationship tabs | dataset / TESTS | retained as sourced fixtures, not proof of runtime execution | ## III. Recovered definitions and fixtures The Google corpus supplies definitions absent from the compressed JSON: - `GEN` — generation; - `MAN` — manifestation; - `UG` — unit ground; - `PC` — positional compression. Recovered historical arithmetic fixtures include: - addition: `1 -> all`; - multiplication: `2 -> {4,6,8,10}`, `3 -> {6,9}`, `5 -> 10`; - exact division: `8 -> 4 -> 2 -> 1`, `9 -> 3 -> 1`, `10 -> {5,2} -> 1`, `6 -> {3,2} -> 1`; - powers: `2 -> {4,8}`, `3 -> 9`, `1 -> 1`; - roots: `4 -> 2`, `9 -> 3`, `1 -> 1`; - hyperedges: `{2,3} -> 6`, `{2,5} -> 10`. These are fixtures and derivational evidence. They do not bound every lawful user-declared rule. ## IV. Architectural normalizations 1. Restored `TENET -> ROTAS -> AREPO -> OPERA -> SATOR`. 2. Recast ARITHMETICA as controlled and traceable generation under admitted arbitrary rules, with explicit state-space reduction. 3. Preserved both directions: `quantitative -> qualitative` and `qualitative -> quantitative`. 4. Distinguished binary edges, arithmetic derivations, and hyperedges. 5. Made TENET ARITHMETICA the quantitative foundation of GRAPHUS COMMUNIS ARTIS without collapsing either class or granting execution authority. 6. Bound multi-OPERA ordinal qualities to sequence position, not fixed OPERA identity. 7. Required GRAPHUS disclosure before interpretive elaboration. 8. Defined traversal as textual self-binding emulation under coherence pressure; visual skills and per-invocation graph files are optional. 9. Separated the former monolithic OPERA artifact into three independently addressable OPERAE and moved their shared invariants into TENET. 10. Archived the consumed compressed JSON outside the operative stack while leaving Google Drive relocation under user control. ## V. Remaining open questions - `base_manifest` does not yet have a complete canonical schema. - Compound-quality normalization lacks a canonical grammar. - No comprehensive synonym register is supplied. - Numeric domains beyond the inspected corpus need explicit admission policy. - Ranking and cost functions remain contextual and must declare provenance. These gaps remain visible and must not be silently filled. ## VI. Authority boundary The source corpus, LIBER, dataset, and five class artifacts are candidate, non-runtime integration materials. They may support review, tests, and future promotion. None independently authorizes execution, canonization, deployment, or HTML mirror mutation.

16_STACK_ARITHMETICA/ARITHMETICA_SOURCE_REGISTER.md