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      "title": "Fixed-prime eight-level gen5 descent: conditional κ = 744728654228590183370616/10^27"
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      "base_sha": "3b6b66891c0ac888521cf591fe306c6286601d4f",
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      "tier": "claimed",
      "title": "Conditional κ = 7.46709720962478·10⁻⁴: gen5b — exactly optimal local design and a debt-10 all-but-one module on #285's word, #287's stages re-derived, #233's complex supplier (+0.348% over #287)"
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    {
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    {
      "base_sha": "3b6b66891c0ac888521cf591fe306c6286601d4f",
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      "tier": "claimed",
      "title": "κ = 7.77947425336102317479703e-4: restore ten terminal caches in original registers"
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      "tier": "claimed",
      "title": "κ = 7.7809154371141892133459e-4: transfer compatible PR340 frame components"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "κ = 7.92580093369946e-4: w3 cube layer on #325's p10b word with a stronger p = 10 complex supplier"
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    {
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      "tier": "claimed",
      "title": "κ = 7.78097715735654505738899e-4: coherent component frame retimings"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "Conditional κ = 7.93392809291691·10⁻⁴: #346's w3 bit word with a per-point p = 10 complex supplier (+0.1025 % over #346)"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "title": "κ = 7.93469326753735e-4: #348 with a frame-retimed complex program (+7.65e-8)"
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    {
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      "tier": "claimed",
      "title": "κ = 7.93392809671713586967588e-4: complete native admission for #346/#348"
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    {
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      "tier": "claimed",
      "title": "κ = 8.01083628465007e-4: #346's w3 bit word with Sussman's Lean-checked E8 unit as the complex supplier (+0.96 % over #350)"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "κ = 8.01598358635541e-4: #352 with Design T + twins on a reordered-design p10b base word (+0.064%)"
    },
    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "Conditional κ = 8.03137165163490·10⁻⁴: w3 Design T + twins on #329's transcript-staged p10b word with Sussman's E8 complex unit (+0.256 % over #352)"
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    {
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      "title": "Conditional κ = 8.01967436473393e-4: exact integer-lifted shared donors with E8 (+0.1103% over #352)"
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    {
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      "title": "κ = 8.03161884970454053300282e-4: staged signed twins with complete native admission"
    },
    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "κ = 8.03654539036015e-4: #354's staged Design T + twins on a reordered-design p10b base word (+0.064%)"
    },
    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "fetched_at": "2026-10-11T13:37:08Z",
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      "tier": "claimed",
      "title": "κ = 8.0367971186626189473809e-4: reordered stages with 471 twins and signed18"
    },
    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "fetched_at": "2026-10-11T13:37:08Z",
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      "tier": "claimed",
      "title": "Conditional κ = 8.04303459176812·10⁻⁴: kernel, retiming and reorders re-derived on #354's Design T word (+0.0776 % over #358)"
    },
    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "fetched_at": "2026-10-11T13:37:08Z",
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      "tier": "claimed",
      "title": "Conditional κ = 8.03512980550910e-4: paid-aware integer donor-basis exchange on #354 (+0.0468%)"
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    {
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      "fetched_at": "2026-10-11T13:37:08Z",
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      "tier": "claimed",
      "title": "Conditional κ = 8.04849251275843·10⁻⁴: post-Design-T kernel, retiming and reorders on #357's reordered base word with all 471 twins (+0.0679 % over #359)"
    },
    {
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      "title": "κ = 8.04849251275843e-4: #359's post-Design-T kernel/retime/reorders on our reordered-design base (+0.068%)"
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    {
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      "tier": "claimed",
      "title": "κ = 8.04879370798932e-4: #362 with κ-exact min-cost carrier matching in the base producer (+3.0e-8)"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "fetched_at": "2026-10-11T13:37:08Z",
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      "pr_updated_at": "2026-10-11T04:50:45Z",
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      "title": "Conditional κ = 8.04939789231485e-4: 123 coupled frame changes after #364 (+0.00751%)"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "title": "Conditional κ = 8.049462195041506e-4: two kernels and 15 extra retimings after #366"
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    {
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      "pr": 370,
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        "head_url": "https://github.com/utcorvusvolat-dotcom/e8-bit-kappa-8.7548e-4/tree/b7fe9cdf2da009c947ff6b334c562bc190b30373",
        "pr_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/370"
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      "tier": "claimed",
      "title": "κ = 8.75481145306751e-4: first E8 bit word (complex-bound; +9.29% over #352)"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "tier": "claimed",
      "title": "Refine reviewed gen4 envelopes: conditional kappa = 0.000723571593879006127174"
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    {
      "base_sha": "12a4934d15006e8c10f9b2264f13f8f341be802b",
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      "fetched_at": "2026-10-11T13:37:08Z",
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