Historical packaging

Legacy G₆ reproducibility release

This page is the Legacy G₆ Reproducibility Release. It preserves a frozen implementation package and its named outputs. The tuple G₆ exists definitionally because unrelated typed objects can always be placed in a tuple. That does not prove unification. A successful assembly or conformance run does not certify the validity or novelty of every source claim.

SRSD EXTERNAL-AUDIT BOUNDARY — 30 AUGUST 2026

SRSD v1.0 is frozen and published. It is used only as an external arithmetic and resolution-audit instrument applied to separately defined theories. Older G₆ “global object,” “foundation,” and “gluing” language is retained solely as provenance for frozen implementation packages. It does not modify SRSD, merge the source theories, or define their current mathematical dependency structure.

Applying SRSD to an admissible numerical object C ∈ ℝᵐ proves only D_s E_s(C) = C. The same identity holds for every admissible numerical object in that domain. That is generic exact representability, not a mathematical connection between cubature and SRSD.

The primitive SRSD encoder and decoder use coordinatewise quotient–residual decomposition through the floor function, a standard mathematical construction. SRSD does not claim to invent division with remainder or to provide a new foundation for mathematics. “Foundational closure” refers only to the internal sufficiency of the frozen SRSD v1.0 specification for the systems it defines.

G₆ packaging is not a theorem joining the theories. The tuple exists definitionally because unrelated typed objects can always be placed in a tuple. A canonical hash proves equality of a named byte string. Aggregating separate maps into interfaces=PASS is a historical implementation outcome, not current source-map discipline.

Implementation conformance: PASS

Rust, Julia, and the pinned TypeScript snapshot reproduced the named frozen reference outputs for release G6_RELEASE/1.1. Subject: Historical G6_RELEASE/1.1 canonical record. Historical G₆ packaging; not a theorem joining the source theories.

Implementation conformance: the named implementation reproduced the specified reference outputs. This does not establish theorem validity, peer-review status, or independent mathematical reproduction.

Implementation conformance: PASS

Python, Julia, Java, and Rust reproduced the named frozen reference outputs for release OMEGA_NAUGHT/1.0. Subject: OMEGA_NAUGHT/1.0 named manifest outputs.

Historical G₆ artifact replay

Historical G₆ artifact: canonical record reproduced in Rust and Julia, with a pinned TypeScript browser replay. The G₆ Rust runner declares no third-party crates; cargo run --release --offline --locked is the named run. Implementation conformance of a frozen package, not a theorem joining the source theories. This button runs the pinned TypeScript snapshot of the frozen package. A combined PASS is implementation conformance of that package. It does not glue Papers I–VI into one object, and it does not establish theorem validity.

THIS BROWSER: NOT RUN

Historical G₆ artifact: canonical record reproduced in Rust and Julia, with a pinned TypeScript browser replay. The G₆ Rust runner declares no third-party crates; cargo run --release --offline --locked is the named run. Implementation conformance of a frozen package, not a theorem joining the source theories. Separate OMEGA_NAUGHT/1.0 conformance: Python, Julia, Java, and Rust. Do not attribute Python or Java to the full G₆ canonical record.

In the frozen package, “Global Object” names the typed assembly $G_6=(S_{\mathrm{SRSD}},A_\Omega,D_{\mathrm{quant}},D_{\mathrm{rat}},H_{\mathrm{ico}},C_{\mathrm{fin}},C_{\mathrm{cub}};J_6)$ . That tuple is definitional packaging. It is not an additional theorem of Papers I–VI and is not the current semantic architecture.

Canonical record SHA-256: 92187a21a7ad8ecef384eda3a654aaa49daf46a31422e168eb5871d218c949fa. This hash proves equality of a named byte string. G₆ computational envelope (1.1) SHA-256: f63ae1c2d595b4805ba9d36687a828fd87200febe01079b184723f7d5eaf746c. License-corrected envelope (1.2) SHA-256: 0235d4615e5a37bff3baf3c98b0f751274fcb584ae4fe6f73174050694b4532f.

G6_RELEASE/1.2 is the license-and-documentation correction of frozen G6_RELEASE/1.1. Documentation, papers, data, JSON, and CSV are CC BY 4.0; source code is MIT. The NEWMAN_GLOBAL_OBJECT/1.0 canonical record is unchanged. External archival remains pending. Both releases are historical/superseded integration packaging.

The live G₆ specification uses Paper I concept DOI 10.5281/zenodo.21830284. Frozen G6_RELEASE/1.1 and 1.2 machine-contract bytes still record version DOI 10.5281/zenodo.21830285, whose resolver is currently unavailable. Those frozen bytes are not rewritten.

The word PASS inside the canonical JSON is a named implementation outcome for those keys, with cubature_frequency_max equal to 9. It is not a site-wide validity badge and does not glue Papers I–VI into one object.

{"contract":"NEWMAN_GLOBAL_OBJECT/1.0","srsd":"PASS","quantized_dynamics":"PASS","rational_floor":"PASS","omega":"PASS","icosahedral_geometry":"PASS","cubature":"PASS","finite_replay":"PASS","interfaces":"PASS","cubature_frequency_max":9,"first_mismatch":42189065,"result":"PASS"}

License-corrected envelope: G6_RELEASE/1.2 RELEASE.json
Optional 1.2 ZIP: G6_RELEASE_1.2.zip
Frozen 1.1 computational envelope: G6_RELEASE/1.1 RELEASE.json
Legacy specification (noindex provenance): spec.html
Frozen object contract (noindex provenance): OBJECT.json
Optional 1.1 ZIP: G6_RELEASE_1.1.zip