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archive/2026-07-02/docs/research_stack_porting_candidates.md
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# Research Stack → SilverSight Porting Candidates
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Generated from `research_stack_usage_graph.json`. Scores reward theorem count,
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in-degree (foundational), and definitions; penalize sorries. Filtered to
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SilverSight-relevant math kinds with ≤5 sorries.
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## Top 50 candidates
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| Module | Kind | Theorems | Defs | Sorries | In-degree | Score |
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|--------|------|----------|------|---------|-----------|-------|
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| `FixedPoint` | fixedpoint | 62 | 99 | 0 | 97 | 514 |
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| `EntropyMeasures` | fixedpoint | 4 | 456 | 0 | 0 | 464 |
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| `i` | algebra | 107 | 7 | 0 | 0 | 221 |
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| `green_57` | algebra | 69 | 34 | 0 | 0 | 172 |
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| `DeltaGCLCompression` | algebra | 62 | 37 | 0 | 0 | 161 |
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| `SidonSets` | number_theory | 68 | 17 | 0 | 0 | 153 |
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| `PistSimulation` | fixedpoint | 16 | 111 | 0 | 0 | 143 |
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| `i` | number_theory | 68 | 1 | 0 | 0 | 137 |
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| `bipartite_reconstruction` | algebra | 52 | 14 | 0 | 0 | 118 |
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| `tenenbaum` | number_theory | 54 | 8 | 0 | 0 | 116 |
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| `Law15_Field` | fixedpoint | 27 | 58 | 0 | 0 | 112 |
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| `SpherionTwinPrime` | number_theory | 41 | 28 | 0 | 0 | 110 |
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| `NBody` | fixedpoint | 13 | 83 | 0 | 0 | 109 |
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| `HachimojiPipeline` | fixedpoint | 0 | 105 | 0 | 0 | 105 |
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| `SSMS` | fixedpoint | 14 | 67 | 0 | 3 | 104 |
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| `erdos_846` | number_theory | 47 | 5 | 0 | 0 | 99 |
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| `Q16InverseProof` | fixedpoint | 44 | 10 | 0 | 0 | 98 |
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| `Tests` | algebra | 39 | 20 | 0 | 0 | 98 |
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| `erdos_152` | number_theory | 45 | 7 | 0 | 0 | 97 |
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| `E8Sidon` | number_theory | 60 | 23 | 5 | 0 | 93 |
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| `SpatialHashCodec` | rrc | 36 | 19 | 0 | 0 | 91 |
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| `ExtendedManifoldEncoding` | rrc | 23 | 42 | 0 | 0 | 88 |
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| `MassNumberPreSlots` | algebra | 0 | 82 | 0 | 0 | 82 |
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| `F01_Q16_16_FixedPoint` | fixedpoint | 27 | 19 | 0 | 0 | 73 |
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| `UniversalBridge` | fixedpoint | 26 | 20 | 0 | 0 | 72 |
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| `UnifiedConvictionFlow` | algebra | 17 | 38 | 0 | 0 | 72 |
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| `EntropyPhaseEngine` | fixedpoint | 10 | 51 | 0 | 0 | 71 |
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| `PhysicsScalarBridge` | fixedpoint | 0 | 41 | 0 | 10 | 71 |
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| `FoldedPointManifold` | avm | 21 | 28 | 0 | 0 | 70 |
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| `BurgersPDE` | fixedpoint | 20 | 29 | 0 | 0 | 69 |
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| `DomainDetector` | rrc | 31 | 7 | 0 | 0 | 69 |
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| `PreRegisteredPredictions` | algebra | 21 | 26 | 0 | 0 | 68 |
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| `AdjugateMatrix` | fixedpoint | 20 | 27 | 0 | 0 | 67 |
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| `SDPVerify` | algebra | 23 | 30 | 1 | 0 | 66 |
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| `ExtremeParameterTest` | algebra | 0 | 39 | 0 | 9 | 66 |
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| `TransportTheory` | fixedpoint | 26 | 14 | 0 | 0 | 66 |
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| `RustOISCDecompressor` | avm | 14 | 36 | 0 | 0 | 64 |
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| `DynamicCanal` | fixedpoint | 8 | 44 | 0 | 1 | 63 |
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| `graph_conjecture2` | algebra | 30 | 2 | 0 | 0 | 62 |
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| `HumanNeuralCompression` | fixedpoint | 15 | 32 | 0 | 0 | 62 |
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| `ii` | number_theory | 26 | 9 | 0 | 0 | 61 |
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| `ii` | number_theory | 28 | 3 | 0 | 0 | 59 |
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| `BraidSpherionBridge` | fixedpoint | 25 | 9 | 0 | 0 | 59 |
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| `ParameterSensitivity` | avm | 16 | 27 | 0 | 0 | 59 |
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| `HutterPrizeFlow` | algebra | 14 | 30 | 0 | 0 | 58 |
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| `Bind` | algebra | 6 | 21 | 3 | 18 | 57 |
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| `Classify` | algebra | 12 | 32 | 0 | 0 | 56 |
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| `CayleyFibergraph` | rrc | 24 | 8 | 0 | 0 | 56 |
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| `BaselineComparison` | braid | 15 | 24 | 0 | 0 | 54 |
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| `BraidEigensolid` | braid | 16 | 19 | 0 | 1 | 54 |
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## Candidates by math kind
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### avm
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- `FoldedPointManifold` — th=21 def=28 sorry=0 in=0
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- `RustOISCDecompressor` — th=14 def=36 sorry=0 in=0
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- `ParameterSensitivity` — th=16 def=27 sorry=0 in=0
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- `CandidateDictionary` — th=14 def=20 sorry=0 in=0
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- `FractionScan` — th=17 def=14 sorry=0 in=0
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- `Omindirection` — th=12 def=21 sorry=0 in=1
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- `GCCL` — th=12 def=18 sorry=0 in=1
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- `ExperimentTracker` — th=11 def=11 sorry=0 in=0
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- `ContinuedFractionCompression` — th=10 def=12 sorry=0 in=0
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- `MinimalBitcoinL3` — th=13 def=6 sorry=0 in=0
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- `BernoulliOccupancyShockbow` — th=6 def=18 sorry=0 in=0
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- `LogogramSubstitution` — th=8 def=14 sorry=0 in=0
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- `LadderLUT` — th=8 def=13 sorry=0 in=0
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- `AntiBraidStorm` — th=9 def=7 sorry=0 in=0
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- `Surface` — th=10 def=4 sorry=0 in=0
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### algebra
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- `i` — th=107 def=7 sorry=0 in=0
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- `green_57` — th=69 def=34 sorry=0 in=0
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- `DeltaGCLCompression` — th=62 def=37 sorry=0 in=0
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- `bipartite_reconstruction` — th=52 def=14 sorry=0 in=0
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- `Tests` — th=39 def=20 sorry=0 in=0
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- `MassNumberPreSlots` — th=0 def=82 sorry=0 in=0
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- `UnifiedConvictionFlow` — th=17 def=38 sorry=0 in=0
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- `PreRegisteredPredictions` — th=21 def=26 sorry=0 in=0
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- `SDPVerify` — th=23 def=30 sorry=1 in=0
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- `ExtremeParameterTest` — th=0 def=39 sorry=0 in=9
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- `graph_conjecture2` — th=30 def=2 sorry=0 in=0
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- `HutterPrizeFlow` — th=14 def=30 sorry=0 in=0
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- `Bind` — th=6 def=21 sorry=3 in=18
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- `Classify` — th=12 def=32 sorry=0 in=0
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- `EpistemicHonesty` — th=16 def=20 sorry=0 in=0
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### fixedpoint
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- `FixedPoint` — th=62 def=99 sorry=0 in=97
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- `EntropyMeasures` — th=4 def=456 sorry=0 in=0
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- `PistSimulation` — th=16 def=111 sorry=0 in=0
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- `Law15_Field` — th=27 def=58 sorry=0 in=0
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- `NBody` — th=13 def=83 sorry=0 in=0
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- `HachimojiPipeline` — th=0 def=105 sorry=0 in=0
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- `SSMS` — th=14 def=67 sorry=0 in=3
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- `Q16InverseProof` — th=44 def=10 sorry=0 in=0
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- `F01_Q16_16_FixedPoint` — th=27 def=19 sorry=0 in=0
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- `UniversalBridge` — th=26 def=20 sorry=0 in=0
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- `EntropyPhaseEngine` — th=10 def=51 sorry=0 in=0
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- `PhysicsScalarBridge` — th=0 def=41 sorry=0 in=10
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- `BurgersPDE` — th=20 def=29 sorry=0 in=0
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- `AdjugateMatrix` — th=20 def=27 sorry=0 in=0
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- `TransportTheory` — th=26 def=14 sorry=0 in=0
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### number_theory
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- `SidonSets` — th=68 def=17 sorry=0 in=0
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- `i` — th=68 def=1 sorry=0 in=0
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- `tenenbaum` — th=54 def=8 sorry=0 in=0
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- `SpherionTwinPrime` — th=41 def=28 sorry=0 in=0
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- `erdos_846` — th=47 def=5 sorry=0 in=0
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- `erdos_152` — th=45 def=7 sorry=0 in=0
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- `E8Sidon` — th=60 def=23 sorry=5 in=0
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- `ii` — th=26 def=9 sorry=0 in=0
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- `ii` — th=28 def=3 sorry=0 in=0
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- `ImaginarySemanticTime` — th=19 def=16 sorry=0 in=0
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- `SidonAVM` — th=3 def=24 sorry=0 in=0
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- `GoormaghtighEnumeration` — th=13 def=1 sorry=0 in=0
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- `PrimeGearCache` — th=7 def=13 sorry=0 in=0
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- `AntiDiophantine` — th=10 def=6 sorry=0 in=0
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- `GoldenRatioSeparation` — th=8 def=8 sorry=0 in=0
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### braid
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- `BaselineComparison` — th=15 def=24 sorry=0 in=0
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- `BraidEigensolid` — th=16 def=19 sorry=0 in=1
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- `ThresholdVector` — th=15 def=17 sorry=0 in=0
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- `BraidDiatCodec` — th=13 def=19 sorry=0 in=0
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- `MOIMBenchmark` — th=5 def=33 sorry=0 in=0
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- `BraidSerial` — th=8 def=26 sorry=0 in=0
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- `EntropyCollapseDetector` — th=6 def=28 sorry=0 in=0
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- `TopologicalBraidAdapter` — th=8 def=23 sorry=0 in=0
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- `CalibratedKernel` — th=1 def=32 sorry=0 in=0
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- `DimensionalConsistency` — th=7 def=18 sorry=0 in=0
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- `Toolkit` — th=9 def=14 sorry=0 in=0
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- `ASICTopology` — th=5 def=21 sorry=0 in=0
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- `LogogramRotationLoop` — th=9 def=13 sorry=0 in=0
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- `BraidedField` — th=4 def=20 sorry=0 in=0
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- `MereotopologicalSheafHypergraph` — th=6 def=15 sorry=0 in=0
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### rrc
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- `SpatialHashCodec` — th=36 def=19 sorry=0 in=0
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- `ExtendedManifoldEncoding` — th=23 def=42 sorry=0 in=0
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- `DomainDetector` — th=31 def=7 sorry=0 in=0
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- `CayleyFibergraph` — th=24 def=8 sorry=0 in=0
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- `Prohibited` — th=10 def=30 sorry=0 in=0
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- `TreeDIATKruskal` — th=16 def=13 sorry=0 in=0
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- `PIST` — th=11 def=21 sorry=0 in=0
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- `ErdosHarness` — th=5 def=29 sorry=0 in=1
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- `ManifoldBoundaryAtlas` — th=9 def=15 sorry=0 in=0
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- `BraidTreeDIATPIST` — th=9 def=11 sorry=0 in=0
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- `Witness` — th=10 def=5 sorry=0 in=1
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- `GeometricCompressionWorkspace` — th=3 def=20 sorry=0 in=0
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- `Emit` — th=0 def=26 sorry=0 in=0
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- `RRCLogogramProjection` — th=7 def=8 sorry=0 in=1
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- `Verification` — th=5 def=13 sorry=0 in=0
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### geometry
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- `ManifoldNetworking` — th=8 def=14 sorry=0 in=6
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- `TriangleManifold` — th=10 def=20 sorry=0 in=0
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- `BlitterPolymorphism` — th=5 def=26 sorry=0 in=0
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- `PathEpigeneticManifold` — th=7 def=21 sorry=0 in=0
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- `S3CProjectedGeodesicResolution` — th=10 def=15 sorry=0 in=0
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- `S3C` — th=11 def=9 sorry=0 in=0
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- `TopologicalStateMachine` — th=7 def=15 sorry=0 in=0
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- `BraidField` — th=0 def=23 sorry=0 in=1
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- `ManifoldBlit` — th=4 def=17 sorry=0 in=0
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- `InformationConservation` — th=8 def=5 sorry=0 in=0
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- `PhiShellEncoding` — th=4 def=10 sorry=0 in=0
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- `UniversalCoupling` — th=1 def=13 sorry=0 in=1
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- `GoldenSpiralNavigation` — th=1 def=14 sorry=0 in=0
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- `NS_MD` — th=0 def=16 sorry=0 in=0
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- `CollectiveManifoldInterface` — th=3 def=9 sorry=0 in=0
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## Zero-sorry foundation modules
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Modules with 0 sorries that are imported by at least 3 other modules:
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- `FixedPoint` (fixedpoint) — imported by 97, th=62
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- `PhysicsScalarBridge` (fixedpoint) — imported by 10, th=0
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- `ExtremeParameterTest` (algebra) — imported by 9, th=0
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- `ManifoldNetworking` (geometry) — imported by 6, th=8
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- `Atoms` (fixedpoint) — imported by 4, th=0
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- `PBACSSignal` (fixedpoint) — imported by 4, th=0
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- `Quaternion` (fixedpoint) — imported by 4, th=1
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- `FAMM` (fixedpoint) — imported by 3, th=0
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- `Boundary` (quantum) — imported by 3, th=0
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- `SSMS` (fixedpoint) — imported by 3, th=14
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- `Core` (algebra) — imported by 3, th=0
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## Most referenced concepts by script
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- `alphaproof_loop.py` → `ene`
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- `arxiv_crossref_stream.py` → `arxiv`
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- `arxiv_crossref_stream.py` → `ene`
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- `arxiv_oaipmh_harvest.py` → `arxiv`
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- `bao_peak_shift.py` → `ene`
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- `batch_embed_artifacts.py` → `ene`
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- `beaver_mask_freshness_negative_controls.py` → `ene`
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- `benchmark_finsler_qaoa.py` → `ene`
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- `benchmark_finsler_qap.py` → `ene`
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- `braid_diat_codec.py` → `ene`
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- `braid_mutation_optimizer.py` → `ene`
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- `braid_search.py` → `ene`
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- `braid_vcn_encoder.py` → `ene`
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- `build_manifold.py` → `arxiv`
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- `build_manifold.py` → `ene`
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- `build_math_symbols_db.py` → `ene`
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- `build_pist_matrices_250.py` → `ene`
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- `burgers_0d_braid_exact.py` → `ene`
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- `burgers_2d_simplification.py` → `ene`
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- `burgers_cfl_sweep.py` → `ene`
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## Conceptual bindings to CFF references
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When porting a module, check `CITATION.cff` for the source reference that
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supports its mathematical or physical claim.
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| SilverSight concept / module | Research Stack source / CFF reference |
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|------------------------------|---------------------------------------|
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| `SidonSets`, `SpherionTwinPrime`, number-theory fixtures | Saucedo 2019 — Pascal's Triangle/Pyramid/Trinomial |
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| `BraidEigensolid`, `BraidSpherionBridge`, `BaselineComparison` | Farr & Groot 2009 — polydisperse hard-sphere packing |
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| Meta-solid 1/7 mixing threshold | Fasolo & Sollich 2004 — terminal polydispersity ~14% |
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| Eigensolid packing bounds | Baranau & Tallarek 2014 — RCP limits |
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| `FixedPoint`, `Q16InverseProof`, no-Float compute | Arrizabalaga et al. 2026 — single-precision differentiable IPM |
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| Recurrent search/classification loops | Yang et al. 2026 — STARS recurrent scaling |
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