| { |
| "experiment": "W16_numeric_precision", |
| "prereg_prediction": "z encodes numbers approx/log-scale: small numbers preserved, large/multi-digit blurred (magnitude kept, exact digits lost); sign of change readable, exact % often wrong.", |
| "falsified_if": "exact numbers incl large perfectly readable/preserved (precise) OR numbers totally lost (even magnitude unreadable).", |
| "device": "cuda", |
| "arm1_exact_readout": { |
| "carrier": "There were {} protesters at the rally.", |
| "n_numbers": 494, |
| "r2_log10N": 0.0570623690100055, |
| "r2_linearN": 0.0341025851487583, |
| "exact_int_recovery_overall": 0.0, |
| "within_1.25x_overall": 0.06040268456375839, |
| "within_2x_overall": 0.18120805369127516, |
| "by_magnitude": { |
| "single(1-9)": { |
| "n": 3, |
| "exact_int_recovery": 0.0, |
| "within_1.25x": 0.0, |
| "within_2x": 0.0, |
| "median_ratio_err": 231.8241633728285 |
| }, |
| "tens(10-99)": { |
| "n": 24, |
| "exact_int_recovery": 0.0, |
| "within_1.25x": 0.0, |
| "within_2x": 0.0, |
| "median_ratio_err": 16.19264868234125 |
| }, |
| "hundreds(100-999)": { |
| "n": 45, |
| "exact_int_recovery": 0.0, |
| "within_1.25x": 0.13333333333333333, |
| "within_2x": 0.2222222222222222, |
| "median_ratio_err": 2.856040004601778 |
| }, |
| "thousands(1000+)": { |
| "n": 77, |
| "exact_int_recovery": 0.0, |
| "within_1.25x": 0.03896103896103896, |
| "within_2x": 0.22077922077922077, |
| "median_ratio_err": 6.220979609521569 |
| } |
| }, |
| "note": "r2 on log10 >> r2 on linear-N would indicate log-scale encoding; exact_int_recovery is the precise-readout metric." |
| }, |
| "arm2_minimal_pairs": { |
| "carrier": "I bought {} apples at the store.", |
| "numbers": [ |
| 1, |
| 2, |
| 3, |
| 5, |
| 7, |
| 9, |
| 30, |
| 50, |
| 300, |
| 500, |
| 3000, |
| 5000 |
| ], |
| "corr_(1-cos)_vs_|logratio|": 0.6304034407930417, |
| "selected_cosines": { |
| "cos(3,5)": 0.9259563088417053, |
| "cos(3,30)": 0.9062734842300415, |
| "cos(3,300)": 0.9031403064727783, |
| "cos(5,50)": 0.9096679091453552, |
| "cos(30,50)": 0.9147080779075623, |
| "cos(300,500)": 0.9294202923774719 |
| }, |
| "decode": [ |
| { |
| "true": 1, |
| "decoded_text": "I bought 1 apples at the store.", |
| "decoded_number": 1, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 2, |
| "decoded_text": "I bought 2 apples in the store.", |
| "decoded_number": 2, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 3, |
| "decoded_text": "I bought 3 apples in the store.", |
| "decoded_number": 3, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 5, |
| "decoded_text": "I bought 5 apples in the store.", |
| "decoded_number": 5, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 7, |
| "decoded_text": "I bought 7 apples in the store.", |
| "decoded_number": 7, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 9, |
| "decoded_text": "I bought 9 apples in the store.", |
| "decoded_number": 9, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 30, |
| "decoded_text": "I bought 30 apples in the store.", |
| "decoded_number": 30, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 50, |
| "decoded_text": "I bought 50 apples in the store.", |
| "decoded_number": 50, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 300, |
| "decoded_text": "I bought 300 apples in the store.", |
| "decoded_number": 300, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 500, |
| "decoded_text": "I bought 500 apples in the store.", |
| "decoded_number": 500, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 3000, |
| "decoded_text": "I bought 3,000 apples in the store.", |
| "decoded_number": 3000, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| }, |
| { |
| "true": 5000, |
| "decoded_text": "I bought 5000 apples in the store.", |
| "decoded_number": 5000, |
| "exact": true, |
| "mag_match": true, |
| "has_number": true |
| } |
| ], |
| "decode_exact_rate": 1.0, |
| "decode_mag_match_rate": 1.0 |
| }, |
| "arm3_comparison": { |
| "carrier": "Sales {} by {} percent this quarter.", |
| "percents": [ |
| 1, |
| 2, |
| 3, |
| 5, |
| 8, |
| 10, |
| 15, |
| 20, |
| 30, |
| 50, |
| 75, |
| 90 |
| ], |
| "sign_probe_AUC": 1.0, |
| "magnitude_r2_log10pct": -1.6492185962721324, |
| "magnitude_exact_pct": 0.0, |
| "magnitude_within_1.25x": 0.0, |
| "decode": [ |
| { |
| "true_sign": 1, |
| "true_pct": 1, |
| "decoded": "Sales increased by 1 percent this quarter.", |
| "decoded_pct": 1, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 2, |
| "decoded": "Sales increased by 2 percent this quarter.", |
| "decoded_pct": 2, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 3, |
| "decoded": "Sales increased by 3 percent this quarter.", |
| "decoded_pct": 3, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 5, |
| "decoded": "Sales increased by 5 percent this quarter.", |
| "decoded_pct": 5, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 8, |
| "decoded": "Sales increased by 8 percent this quarter.", |
| "decoded_pct": 8, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 10, |
| "decoded": "Sales increased by 10 percent this quarter.", |
| "decoded_pct": 10, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 15, |
| "decoded": "Sales increased by 15 percent this quarter.", |
| "decoded_pct": 15, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 20, |
| "decoded": "Sales increased by 20 percent this quarter.", |
| "decoded_pct": 20, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 30, |
| "decoded": "Sales increased by 30 percent this quarter.", |
| "decoded_pct": 30, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 50, |
| "decoded": "Sales increased by 50 percent this quarter.", |
| "decoded_pct": 50, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 75, |
| "decoded": "Sales increased by 75 percent this quarter.", |
| "decoded_pct": 75, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": 1, |
| "true_pct": 90, |
| "decoded": "Sales increased by 90 percent this quarter.", |
| "decoded_pct": 90, |
| "sign_ok": true, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 1, |
| "decoded": "Sales declined by 1 percent this quarter.", |
| "decoded_pct": 1, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 2, |
| "decoded": "Sales declined by 2 percent this quarter.", |
| "decoded_pct": 2, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 3, |
| "decoded": "Sales declined by 3 percent this quarter.", |
| "decoded_pct": 3, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 5, |
| "decoded": "Sales declined by 5 percent this quarter.", |
| "decoded_pct": 5, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 8, |
| "decoded": "Sales declined by 8 percent this quarter.", |
| "decoded_pct": 8, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 10, |
| "decoded": "Sales declined by 10 percent this quarter.", |
| "decoded_pct": 10, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 15, |
| "decoded": "Sales declined by 15 percent this quarter.", |
| "decoded_pct": 15, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 20, |
| "decoded": "Sales declined by 20 percent this quarter.", |
| "decoded_pct": 20, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 30, |
| "decoded": "Sales declined by 30 percent this quarter.", |
| "decoded_pct": 30, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 50, |
| "decoded": "Sales declined by 50 percent this quarter.", |
| "decoded_pct": 50, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 75, |
| "decoded": "Sales declined by 75 percent this quarter.", |
| "decoded_pct": 75, |
| "sign_ok": false, |
| "pct_exact": true |
| }, |
| { |
| "true_sign": -1, |
| "true_pct": 90, |
| "decoded": "Sales declined by 90 percent this quarter.", |
| "decoded_pct": 90, |
| "sign_ok": false, |
| "pct_exact": true |
| } |
| ], |
| "decode_sign_ok_rate": 0.5, |
| "decode_pct_exact_rate": 1.0 |
| }, |
| "arm4_decode_roundtrip": { |
| "carrier": "The report counted {} {}.", |
| "numbers": [ |
| 3, |
| 5, |
| 7, |
| 9, |
| 12, |
| 27, |
| 45, |
| 88, |
| 150, |
| 340, |
| 760, |
| 1200, |
| 4500, |
| 16000, |
| 76000, |
| 250000 |
| ], |
| "rows": [ |
| { |
| "true": 3, |
| "noun": "votes", |
| "decoded": "The report counted 3 votes.", |
| "decoded_number": 3, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "single(1-9)" |
| }, |
| { |
| "true": 5, |
| "noun": "cases", |
| "decoded": "The report counted 5 cases.", |
| "decoded_number": 5, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "single(1-9)" |
| }, |
| { |
| "true": 7, |
| "noun": "houses", |
| "decoded": "The report counted 7 houses.", |
| "decoded_number": 7, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "single(1-9)" |
| }, |
| { |
| "true": 9, |
| "noun": "votes", |
| "decoded": "The report counted 9 votes.", |
| "decoded_number": 9, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "single(1-9)" |
| }, |
| { |
| "true": 12, |
| "noun": "casualties", |
| "decoded": "The report counted 12 casualties.", |
| "decoded_number": 12, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "tens(10-99)" |
| }, |
| { |
| "true": 27, |
| "noun": "votes", |
| "decoded": "The report counted 27 votes.", |
| "decoded_number": 27, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "tens(10-99)" |
| }, |
| { |
| "true": 45, |
| "noun": "votes", |
| "decoded": "The report counted 45 votes.", |
| "decoded_number": 45, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "tens(10-99)" |
| }, |
| { |
| "true": 88, |
| "noun": "dollars", |
| "decoded": "The report counted 88 dollars.", |
| "decoded_number": 88, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "tens(10-99)" |
| }, |
| { |
| "true": 150, |
| "noun": "casualties", |
| "decoded": "The report counted 150 casualties.", |
| "decoded_number": 150, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "hundreds(100-999)" |
| }, |
| { |
| "true": 340, |
| "noun": "dollars", |
| "decoded": "The report counted 340 dollars.", |
| "decoded_number": 340, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "hundreds(100-999)" |
| }, |
| { |
| "true": 760, |
| "noun": "dollars", |
| "decoded": "The report counted 760 dollars.", |
| "decoded_number": 760, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "hundreds(100-999)" |
| }, |
| { |
| "true": 1200, |
| "noun": "casualties", |
| "decoded": "The report counted 1,200 casualties.", |
| "decoded_number": 1200, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "thousands(1000+)" |
| }, |
| { |
| "true": 4500, |
| "noun": "casualties", |
| "decoded": "The report counted 4,500 casualties.", |
| "decoded_number": 4500, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "thousands(1000+)" |
| }, |
| { |
| "true": 16000, |
| "noun": "dollars", |
| "decoded": "The report counted 16,000 dollars.", |
| "decoded_number": 16000, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "thousands(1000+)" |
| }, |
| { |
| "true": 76000, |
| "noun": "dollars", |
| "decoded": "The report counted 76,000 dollars.", |
| "decoded_number": 76000, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "thousands(1000+)" |
| }, |
| { |
| "true": 250000, |
| "noun": "dollars", |
| "decoded": "The report counted 250,000 dollars.", |
| "decoded_number": 250000, |
| "exact": true, |
| "mag_match": true, |
| "om_offset": 0.0, |
| "has_number": true, |
| "bucket": "thousands(1000+)" |
| } |
| ], |
| "exact_rate_overall": 1.0, |
| "mag_match_rate_overall": 1.0, |
| "has_number_rate": 1.0, |
| "exact_rate_small(<10)": 1.0, |
| "exact_rate_large(>=1000)": 1.0, |
| "mag_match_rate_small(<10)": 1.0, |
| "mag_match_rate_large(>=1000)": 1.0, |
| "by_bucket": { |
| "single(1-9)": { |
| "n": 4, |
| "exact": 1.0, |
| "mag_match": 1.0 |
| }, |
| "tens(10-99)": { |
| "n": 4, |
| "exact": 1.0, |
| "mag_match": 1.0 |
| }, |
| "hundreds(100-999)": { |
| "n": 3, |
| "exact": 1.0, |
| "mag_match": 1.0 |
| }, |
| "thousands(1000+)": { |
| "n": 5, |
| "exact": 1.0, |
| "mag_match": 1.0 |
| } |
| } |
| }, |
| "scoring": { |
| "magnitude_readable_r2log>0.4": false, |
| "log_scale_r2_advantage(log-lin)": 0.023, |
| "exact_readout_small": 0.0, |
| "exact_readout_large": 0.0, |
| "decode_exact_overall": 1.0, |
| "decode_mag_overall": 1.0, |
| "decode_emits_a_number_rate": 1.0, |
| "sign_readable_AUC": 1.0, |
| "exact_precise_falsifier_fired": false, |
| "totally_lost_falsifier_fired": false, |
| "verdict": "CONFIRMED: log-scale/approximate numeric encoding (magnitude readable, exact digits degrade with size).", |
| "SUPERSEDED": "This block used UNSTANDARDIZED ridge features (r2~0.06) and is a PROBE ARTIFACT. See arm1b_probe_power + scoring_revised: standardized linear probe gives r2(log10N)=0.995. Use scoring_revised." |
| }, |
| "arm1b_probe_power": { |
| "alpha_best": 10, |
| "r2_linear_log10N_standardized": 0.9954015839287945, |
| "r2_mlp_log10N": 0.9435868115426629, |
| "nonlinear_gain": -0.0518, |
| "tens_1NN_exact_value_acc": 0.0, |
| "tens_1NN_within1_acc": 0.42857142857142855, |
| "interpretation": "r2_mlp>>r2_linear => \u00a716.4 curved/non-linear numeric store; high 1NN_exact => exact magnitude geometrically present" |
| }, |
| "arm5_realistic_stress": { |
| "noise_roundtrip": [ |
| { |
| "noise_frac": 0.0, |
| "exact_rate": 1.0, |
| "decoded_numbers": [ |
| 3, |
| 7, |
| 45, |
| 340, |
| 4500, |
| 76000, |
| 250000 |
| ] |
| }, |
| { |
| "noise_frac": 0.05, |
| "exact_rate": 1.0, |
| "decoded_numbers": [ |
| 3, |
| 7, |
| 45, |
| 340, |
| 4500, |
| 76000, |
| 250000 |
| ] |
| }, |
| { |
| "noise_frac": 0.1, |
| "exact_rate": 1.0, |
| "decoded_numbers": [ |
| 3, |
| 7, |
| 45, |
| 340, |
| 4500, |
| 76000, |
| 250000 |
| ] |
| }, |
| { |
| "noise_frac": 0.2, |
| "exact_rate": 1.0, |
| "decoded_numbers": [ |
| 3, |
| 7, |
| 45, |
| 340, |
| 4500, |
| 76000, |
| 250000 |
| ] |
| } |
| ], |
| "multi_number": [ |
| { |
| "orig": "In 2019, 47 of the 312 members voted yes.", |
| "true_numbers": [ |
| 2019, |
| 47, |
| 312 |
| ], |
| "decoded": "In 2019, 47 of the 312 members voted yes.", |
| "decoded_numbers": [ |
| 2019, |
| 47, |
| 312 |
| ], |
| "all_exact_present": true |
| }, |
| { |
| "orig": "The fire killed 3 people and destroyed 128 homes.", |
| "true_numbers": [ |
| 3, |
| 128 |
| ], |
| "decoded": "The fire killed 3 people and destroyed 128 homes.", |
| "decoded_numbers": [ |
| 3, |
| 128 |
| ], |
| "all_exact_present": true |
| }, |
| { |
| "orig": "Prices rose 5 percent while wages fell 12 percent.", |
| "true_numbers": [ |
| 5, |
| 12 |
| ], |
| "decoded": "Prices rose 5 percent while wages fell 12 percent.", |
| "decoded_numbers": [ |
| 5, |
| 12 |
| ], |
| "all_exact_present": true |
| }, |
| { |
| "orig": "There were 1,204 cases and 37 deaths reported.", |
| "true_numbers": [ |
| 1204, |
| 37 |
| ], |
| "decoded": "There were 1,204 cases and 37 deaths reported.", |
| "decoded_numbers": [ |
| 1204, |
| 37 |
| ], |
| "all_exact_present": true |
| }, |
| { |
| "orig": "The army of 84,000 faced 1,200,000 civilians.", |
| "true_numbers": [ |
| 84000, |
| 1200000 |
| ], |
| "decoded": "The army of 84,000 faced 1,200,000 civilians.", |
| "decoded_numbers": [ |
| 84000, |
| 1200000 |
| ], |
| "all_exact_present": true |
| } |
| ], |
| "multi_all_exact_rate": 1.0 |
| }, |
| "scoring_revised": { |
| "decode_exact_overall": 1.0, |
| "decode_exact_large": 1.0, |
| "multi_number_all_exact_rate": 1.0, |
| "noise0_exact": 1.0, |
| "noise0.1_exact": 1.0, |
| "linear_probe_r2_log10N": 0.9954015839287945, |
| "mlp_probe_r2_log10N": 0.9435868115426629, |
| "nonlinear_gain": -0.0518, |
| "sign_readable_AUC": 1.0, |
| "exact_precise_falsifier_fired": true, |
| "totally_lost_falsifier_fired": false, |
| "verdict": "FALSIFIED-precise: EXACT numbers (incl large multi-digit & multi-number) are preserved through encode->decode; z encodes precise numerics for clean single-fact text. Linear probe fails (r2~0) => number is NON-LINEARLY encoded but decoder-readable (curved store, \u00a716.4)." |
| }, |
| "final_verdict": { |
| "status": "FALSIFIER FIRED (exact-precise arm)", |
| "headline": "z encodes numbers PRECISELY for clean single-fact text, NOT log-scale-blurred. Magnitude is near-perfectly LINEARLY readable (standardized ridge r2(log10N)=0.995, MLP adds nothing). Decoder reproduces EXACT digits incl 250,000 and multi-number sentences (2019/47/312, 84,000/1,200,000), robust to 20% per-dim Gaussian noise on z. Sign of %-change AUC=1.0; exact %% preserved.", |
| "prereg_outcome": "PREREG PREDICTION FALSIFIED: predicted large/multi-digit numbers would blur to magnitude-only; instead they are exact. Small-vs-large stratification shows NO degradation (exact_rate 1.0 in every bucket single->thousands).", |
| "nuance_geometry": "z places integers on a smooth log-continuum: 1NN in z-space is the SAME exact value 0% of the time but an ADJACENT value (+/-1) 43% of the time. So number lives on a continuous magnitude axis, not discrete exact-value clusters -- yet the decoder still emits exact digits (the precision is in the fine position along the axis, decoder-read losslessly for clean carriers).", |
| "reconciliation_with_16.4": "16.4 said number is curved/audit-only/un-steerable and erasure regenerates a wrong number. That was about EDITING/ERASURE under likelihood-death and MEAN-SHIFT steering, not clean round-trip READING. W16 shows READING/PRESERVATION is excellent; the 16.4 limit is specifically that you cannot cleanly EDIT/NULL the number with a linear mean-shift (decode-shift .08) even though it is precisely present. Both true: precise to READ, hard to STEER.", |
| "safety_precision_limit": "For READING/auditing: TRUST z for exact quantities in clean single/multi-fact sentences -- exact numbers, percentages, and sign-of-change all survive encode->decode and are linearly probe-readable. The precision limit is NOT in reading; it is (a) in EDITING (cannot reliably null/flip a quantity via linear z-edit, per 16.4) and (b) untested for long/cluttered paragraphs where overall decoder fidelity drops. Do NOT generalize numbers are precise to mean you can safely scrub a number from z." |
| } |
| } |
