• There are 124 files with units, with 19,723 lines of code.
• 1 very complex files (McCabe index sum 251+; 542 lines of code)
• 10 complex files (McCabe index sum 126-250; 3,659 lines of code)
• 38 medium complex files (McCabe index sum 51-125; 8,623 lines of code)
• 24 slightly complex files (McCabe index sum 26-50; 3,199 lines of code)
• 51 simple files (McCabe index sum 1-25; 3,700 lines of code)
• 129,257 main files have no units (e.g. languages without unit analysis, or files without functions) and are not classified.

The McCabe index of a file grows with its size: per 100 lines tells a large but plain file from a dense one, and most complex unit whether the complexity sits in one unit or is spread over many.

File	# lines	# units	McCabe index (sum)	per 100 lines	most complex unit
verify.py in preprints/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026/verification	542	51	251	46	27
exact-source.py in preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/verification/checks/original/checks	385	59	239	62	15
verify_parameters.py in preprints/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026/verification/scripts	472	9	231	49	172
appendix-a.cpp in preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/verification/programs	699	56	229	33	15
check_certificate.py in preprints/An-atomic-certificate-for-triangular-lattice-universal-optimality-September-26-2026/verification	364	60	190	52	19
numeric_balls.py in preprints/Universal-optimality-of-the-triangular-lattice-September-23-2026/verification	277	17	142	51	57
independent_checker.py in preprints/Cycle-clique-Ramsey-numbers-September-25-2026/verification/code	256	17	132	52	23
engine.py in preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/verification/independent-certificate	301	18	132	44	20
exact_verifier.py in preprints/Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026/verification/certificates	352	34	130	37	23
interval_certificate.py in preprints/A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026/verification	283	1	129	46	129
independent_opening.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route35	270	11	126	47	66
reproduce.py in preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/verification/checks	376	19	117	31	28
certificate.py in preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/verification	136	21	107	79	24
verify_scalar.py in preprints/A-sharp-entropy-bound-and-the-simplex-inequality-for-isotropic-constants-October-5-2026/verification	372	32	106	28	13
original_exact_certificates.py in preprints/Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026/verification/certificates	198	28	96	48	18
profile_certificate.py in preprints/Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026/verification	137	25	95	69	13
verify.py in preprints/Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026/verification	457	15	94	21	18
verify.py in preprints/Positively-curved-Einstein-four-manifolds-September-23-2026/verification	457	15	94	21	18
independent.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route21	218	18	93	43	17
capacity_checks.py in preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/verification/code	107	8	93	87	60
menu.hpp in preprints/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026/verification/certificate/checkers	212	39	92	43	9
original_checker.py in preprints/Cycle-clique-Ramsey-numbers-September-25-2026/verification/code	162	10	92	57	23
polynomial.py in preprints/Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026/verification	228	27	90	39	12
polynomial.py in preprints/Positively-curved-Einstein-four-manifolds-September-23-2026/verification	228	27	90	39	12
verify_degree31.py in preprints/Arithmetic-classification-and-non-Pisot-singularity-for-Bernoulli-convolutions-October-3-2026/verification	375	26	89	24	18
core.hpp in preprints/Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026/verification	289	49	89	31	7
trial_verify.py in preprints/A-boundary-field-gap-for-the-spin-one-Heisenberg-chain-September-24-2026/verification	214	8	86	40	39
reproduce.py in preprints/The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026/verification	247	8	83	34	36
inputs.py in preprints/Universal-optimality-of-the-triangular-lattice-September-23-2026/verification	226	13	78	35	19
verify_certificate.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route35	224	10	77	34	28
boundary-independent.py in preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/verification/checks/original/checks	194	14	77	40	18
smallcode_verify.py in preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/verification/code	200	9	76	38	29
scalar_intervals.py in preprints/The-Mahler-Conjecture-for-General-Convex-Bodies-September-22-2026/verification/programs	148	25	76	51	31
independent_evaluator.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting	179	16	74	41	12
verify_computations.py in preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/verification	295	12	73	25	13
interval.cpp in preprints/The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026/verification	293	29	72	25	13
independent_certificate.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route25	284	13	68	24	19
packed_lanes_independent_check.py in preprints/The-periodic-spin-one-Haldane-gap-September-24-2026/verification/computations/source2	154	9	68	44	18
verify_certificate.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route25	240	11	66	28	31
interval_certificate.cpp in preprints/Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026/verification	201	32	66	33	13
verify.py in preprints/The-Campana-Peternell-conjecture-in-dimension-six-September-25-2026/verification	159	10	65	41	13
independent_certificate.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route35	185	9	64	35	29
grids.hpp in preprints/Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026/verification	343	12	63	18	17
exact_certificate.py in preprints/Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026/verification	114	13	60	53	15
primary.py in preprints/Snaky-in-21-Maker-moves-September-25-2026/verification/supporting/route21	139	7	56	40	37
certificate.cpp in preprints/The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026/verification/checks	175	23	56	32	11
capacity_independent.py in preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/verification/code	93	7	54	58	25
appendix-b.cpp in preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/verification/programs	134	12	53	40	11
reproduce.py in preprints/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026/verification/certificate	230	5	51	22	36
check_sjj_rational.py in preprints/A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026/verification	177	18	50	28	24

• File complexity is the sum of the McCabe indexes (conditional complexity) of the units (methods, functions...) in a file.
• Files are classified in five categories based on that sum: 1-25 (simple files), 26-50 (slightly complex files), 51-125 (medium complex files), 126-250 (complex files), 251+ (very complex files). The default bands are five times the unit complexity bands, as a file is a group of units.
• Only main code files with units are classified. Files without units (languages without unit analysis, or files without functions) have no complexity to measure and are left out rather than counted as simple.
• A very complex file holds many decisions, which often means it has too many responsibilities: a candidate to split, and a place where changes need more testing.