KDF: A Deterministic Architecture for Finite-Resource Information Preservation—Cross-Domain Evidence and Self-Refutation of Canonical Values
Yasuhiro Kuroki · Zenodo (CERN European Organization for Nuclear Research) · 2026
Version 2.7 of the KDF (Knowledge Decay Framework) paper, integrating the Phase 2 / Phase 2.5 systematic verification arc. KDF is a deterministic graph-compression technique combining three mechanisms—edge-based exponential decay, rarity protection under deg_E(v) <= 1, and integrity discovery via Laplacian eigenvalue fingerprints. v1 (deposited 2026-04-19) was anchored on F-072 NASA HTTP streaming (+3.06pt rare-recall improvement). Version 2.7 adds 23 cross-domain findings (F-073 through F-100) producing a 7-pattern empirical arc of 5 narrowing findings + 2 positive cross-domain replications. Key v2 substantive changes:- Streaming benefit narrows to "temporally recurring rare events" (F-087 Apache replication: -13.04 pt sign reversal).- Canonical alpha=2.0 narrows to NASA-recurring-rare specific (F-091, Apache optimal at alpha=4.0).- Claim 31 functional rare protection narrows to non-adversarial settings (F-092).- Bias-detector commercial predictor path withdrawn (F-090: 5/11=45.5% << 70% pre-registered threshold).- Direct SOTA-beating positioning retracted (F-073 / F-074 / F-075 LOSS).- Recurring-rare benefit empirically replicated cross-domain on N=3 datasets (NASA HTTP +3.06pt, Apache error +3.67pt, BGL HW kernel +33.33pt; F-094 / F-097 PASS) but FAILS on distributed file system log (F-100 HDFS: H_R+_literal -23.08pt, H_anomaly -4.30pt) — narrowing cross-domain coverage to web access log family + HW kernel log family specific. The v2 grounded position is four product candidates (Obsidian / MovieLens niche / Mem0 hybrid Router / Git Core preservation) plus the F-086 gamma domain-fit predictor. A new Reproducibility Guide (REPRODUCIBILITY.md, included in this deposit) provides single-index mapping of all F-xxx findings to reproducer code, run commands, and expected output. Quick Start covers the three highest-impact findings: F-072 (+3.06pt streaming anchor), F-087 (-13.04pt narrowing), and F-097 (+33.33pt cross-family positive replication). License note: Paper text is CC BY 4.0. Source code at https://github.com/ChaiCroquis/kdf-perovskite is separately licensed under PolyForm Noncommercial 1.0.0; commercial licenses for the source code and for practicing patent JP 2026-027032 (filed 2026-02-24, Japan Patent Office) are available via the repository's COMMERCIAL.md.