Metriq PRISM Laboratory is an interdisciplinary research laboratory of Metriq Foundation, Inc.. PRISM conducts exploratory research involving computational, mathematical, scientific, and machine-assisted methods.
This repository is the canonical public record for PRISM candidate preprints, source materials, verification code, revision histories, and reproducibility packages.
Important
The manuscripts in this repository are exploratory candidate preprints. Unless a paper explicitly states otherwise, it has not undergone independent peer review and must not be represented as an established resolution of an open problem.
| ID | Version | Title | DOI | Materials |
|---|---|---|---|---|
| MF-PRISM-MATH-2026-01 | 1.3 | An Explicit Cantorval Achievement Set with Convergent Consecutive-Term Ratio | 10.5281/zenodo.21434379 | Materials |
| MF-PRISM-MATH-2026-02 | 1.3 | An Achievable Cantorval with Full-Dimensional Boundary | 10.5281/zenodo.21434547 | Materials |
| MF-PRISM-MATH-2026-03 | 1.4 | Every Infinite Achievement Set Is a Sum of Two Achievement Sets of Hausdorff Dimension Zero | 10.5281/zenodo.21434562 | Materials |
| MF-PRISM-MATH-2026-04 | 1.2 | An Achievable Cantorval with Zero-Dimensional Boundary | 10.5281/zenodo.21434573 | Materials |
| MF-PRISM-MATH-2026-05 | 1.2 | A Note on the Literal Formulation of Problem 13 for Fast Achievement-Set Sumsets | 10.5281/zenodo.21434602 | Materials |
| MF-PRISM-MATH-2026-06 | 2.2 | Finite Certificates for Three Unresolved Cardinal-Function Ranges | 10.5281/zenodo.21434632 | Materials |
| MF-PRISM-MATH-2026-08 | 1.2 | Endpoint Walks Evaluate the Complete Homogeneous Symmetric Norms of Path Graphs | 10.5281/zenodo.21434694 | Materials |
| MF-PRISM-MATH-2026-09 | 1.1 | A Bessel-Factorization Proof of Mathar's Recurrence for Type-ace Lattice Walks | 10.5281/zenodo.21434724 | Materials |
Paper 07 is intentionally unused because the historical seven-atom working draft was consolidated into Paper 06. The former MF-MATH identifiers remain preserved as predecessor identifiers; current candidate editions use MF-PRISM-MATH.
Daniel H. Jeffery, Research Director
ORCID: 0009-0001-1200-6042
Email: prism@metriq.org
For these candidate editions, Metriq PRISM Laboratory is the organizational creator and issuer and Daniel H. Jeffery is Research Director and corresponding contributor.
Each paper directory contains the candidate PDF, cover, clean source/reproducibility package, reviewer packet, paper-specific citation metadata, Zenodo metadata, predecessor record, corrections log, and checksums. Internal symbolic checks, exhaustive finite computation, reproducible builds, or AI-assisted review are not independent validation.
Research manuscripts, original figures, and documentation are licensed under CC BY 4.0; verification code is MIT licensed; Metriq and PRISM branding is reserved. See the repository license and trademark files.
This batch adds MATH-10–18, FIRE-01–03, REEF-01–03, and DLT-01–02/04–07. Two technical supplements are attached to their parent papers. MATH-10 and MATH-13 report partial progress; they are not counted as complete proposed solutions. Existing MATH-05 remains on its recorded hold; MATH-07 remains unused. DLT-03 and LABEL materials are excluded.
- MF-PRISM-FIRE-2026-01 — Observation-Aware Wildfire Escalation · v0.2
- MF-PRISM-FIRE-2026-02 — Observation-Aware Wildfire Regime Forecasting · v0.2
- MF-PRISM-FIRE-2026-03 — Lineage-Stable Wildfire Geometry · v0.2
- MF-PRISM-REEF-2026-01 — Thermal Stress Geometry for Coral Bleaching · v0.2
- MF-PRISM-REEF-2026-02 — Observation-Aligned Validation of Coral Bleaching Models · v0.2
- MF-PRISM-REEF-2026-03 — Public-Data Validation Without New Fieldwork · v0.2
- MF-PRISM-DLT-2026-01 — Safety-Preserving Adaptive Quorum Selection in Federated Consensus Networks · v1.1
- MF-PRISM-DLT-2026-02 — AQR-M: Implementation and Evaluation of Adaptive Quorum Reserve on the Metriq Network · v1.2
- MF-PRISM-DLT-2026-04 — Fault-Domain-Aware Federated Quorum Certification · v0.2
- MF-PRISM-DLT-2026-05 — AQR-C: Convergence of Independently Adaptive Federated Quorum Controllers · v0.2
- MF-PRISM-DLT-2026-06 — AQR-O: Quorum-Aware Overlay Optimization Without Quorum-Set Mutation · v0.2
- MF-PRISM-DLT-2026-07 — PCQC: Proof-Carrying Quorum Certificates for Federated Consensus Networks · v0.2
- MF-PRISM-MATH-2026-10 — Rooted Weyl Alternants for the Graceful Tree Conjecture · v1.2
- MF-PRISM-MATH-2026-11 — A Weighted Roller-Coaster Theorem for W_p Graphs · v1.1
- MF-PRISM-MATH-2026-12 — Scaling Obstructions in the Multigeometric Residue Problem · v1.1
- MF-PRISM-MATH-2026-13 — Positive Measure and Renormalization for a Disturbed Binary Achievement Set · v1.1
- MF-PRISM-MATH-2026-14 — Catalan Kernels for Augmented Aztec Rectangles · v1.2
- MF-PRISM-MATH-2026-15 — Exact Dyadic Valuations for Step-Diagonal Domino Constraints · v1.1
- MF-PRISM-MATH-2026-16 — Ordered Polynomial Crossings in Balanced Partition Models · v1.1
- MF-PRISM-MATH-2026-17 — A Universal Odd Divisor for Single-Domino Constraints · v0.2
- MF-PRISM-MATH-2026-18 — Prime Obstructions to Integral Smith Forms of Schur Matrices · v0.2