Viridis Compiled Theorem Stack — Canon v9 (Erasure-Side Intelligence Bound + Featured Paper)

The machine-verified theorem corpus of the Viridis research program — v9, now led by its featured paper. This version carries forward the entire v8 corpus unchanged and adds The Erasure-Side Intelligence Bound (4 pp., PDF) as the human-readable front door to the recovered footing. The Intelligence Bound's thermodynamic branch is read on the erasure / maintenance side of the ledger: acquiring a bit carries no Landauer floor, but erasing one does. The biosphere is the largest known low-entropy dataset, so its erasure (extinction, collapse) carries an irreducible thermodynamic floor proportional to its information content, and stewarding it against erasure imposes a lower bound on the required intelligence. The paper states all nine results verified in Lean 4 (BiosphereErasureBound and BoundedMemoryLearning) and unifies the erasure floor with Turyshev's biosphere-productivity bound and with alignment-as-feasibility. Start with the paper PDF, then CANON_MANIFEST.md and IB_FOOTING_CORRECTION_2026-06-16.md. Concept DOI (always-latest): 10.5281/zenodo.19317982. v1–v8 stand; this is an evolution, not a retraction.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20724138
Primary Topic
Earth Systems and Cosmic Evolution
Type
preprint
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Viridis Compiled Theorem Stack — Canon v9 (Erasure-Side Intelligence Bound + Featured Paper)

Justin Hart, Aristotle (Harmonic)
Zenodo (CERN European Organization for Nuclear Research)
Earth Systems and Cosmic Evolution
preprint

Viridis Compiled Theorem Stack — Canon v9 (Erasure-Side Intelligence Bound + Featured Paper)

Justin Hart, Aristotle (Harmonic)
preprint en

Abstract

The machine-verified theorem corpus of the Viridis research program — v9, now led by its featured paper. This version carries forward the entire v8 corpus unchanged and adds The Erasure-Side Intelligence Bound (4 pp., PDF) as the human-readable front door to the recovered footing. The Intelligence Bound's thermodynamic branch is read on the erasure / maintenance side of the ledger: acquiring a bit carries no Landauer floor, but erasing one does. The biosphere is the largest known low-entropy dataset, so its erasure (extinction, collapse) carries an irreducible thermodynamic floor proportional to its information content, and stewarding it against erasure imposes a lower bound on the required intelligence. The paper states all nine results verified in Lean 4 (BiosphereErasureBound and BoundedMemoryLearning) and unifies the erasure floor with Turyshev's biosphere-productivity bound and with alignment-as-feasibility. Start with the paper PDF, then CANON_MANIFEST.md and IB_FOOTING_CORRECTION_2026-06-16.md. Concept DOI (always-latest): 10.5281/zenodo.19317982. v1–v8 stand; this is an evolution, not a retraction.

Zenodo (CERN European Organization for Nuclear Research)
University of Providence (US), Laboratoire Spécification et Vérification (FR)
Decent work and economic growth
Earth Systems and Cosmic Evolution
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