Recorded data and provenance for the associated calculation.
| experiment_key | count-preserving-common-source-curvature |
|---|---|
| created_utc | 2026-10-12T13:39:34.264801+00:00 |
| evaluations | 1098 |
| interval_decimal_precision | 85 |
View complete data
{
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"created_utc": "2026-10-12T13:39:34.264801+00:00",
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"source projection is a genuine positive lower operator": 12,
"the original source direction has exact unit spatial norm": 12,
"interval Gaussian pivot excludes zero": 468,
"recorded rational congruence matrix is rigorously invertible": 12,
"interval signed row dominance certifies the exact inertia": 336,
"exact polynomial degrees make the source projection vanish beyond the stated finite support": 24
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"gyroscopic_index_deficit": 2,
"full_spatial_real_growth_established": true,
"growth_rate_interval": "0 < sigma <= omega; no sharper rate certified",
"curvature_fraction_exact": "1"
}
],
"sufficient_growth_intervals": [
{
"depth": 3,
"level": 3,
"sufficient_continuous_curvature_fraction_for_growth": "1/2",
"growth_proved_through_gamma_one": true,
"smaller_gamma_status": "not decided by failure of this sufficient lower-source test"
},
{
"depth": 4,
"level": 2,
"sufficient_continuous_curvature_fraction_for_growth": "3/4",
"growth_proved_through_gamma_one": true,
"smaller_gamma_status": "not decided by failure of this sufficient lower-source test"
}
],
"interval_decimal_precision": 85,
"limits": [
"f_gamma=(1-gamma)f_envelope+gamma f_continuous is one local common source interpolation",
"count values and first derivatives agree at every eligible node; only curvature changes",
"the zero endpoint inherits the separate envelope persistence theorem",
"failure of the sufficient index test does not establish stability",
"growth intervals use Schur monotonicity and the negative-gap bound at gamma one",
"the full-matrix carrier differs from minimum-column particle candidates",
"no observed lifetime or new depth preference follows"
]
}