{"query": "The periodic table — the map of the elements", "count": 20, "results": [{"id": "card_n_6e7a5b14e556", "title": "The periodic table — the map of the elements", "shelf": "science", "surface": "secular", "snippet": "118 elements, ordered by proton count, and their properties RECUR in periods — the\nsingle most predictive table in science. Sealed in-domain: carbon is element 6, symbol C\n(https://narrowhighway.com/s", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_theory_periodic_law", "title": "Periodic law (Mendeleev)", "shelf": "theories", "surface": "secular", "snippet": "Periodic law (Mendeleev) — an engine domain that can touch it: periodic_table. Calibration: seals — element properties and group trends look up and compute. Arrange elements by atomic number and their", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_girih_quasiperiodic", "title": "Girih tiles — quasi-periodic design in medieval Islamic architecture", "shelf": "theories", "surface": "secular", "snippet": "Girih are the polygonal tiles — decagon, pentagon, hexagon, bowtie, rhombus — carrying strapwork lines, used across medieval Islamic architecture. Peter Lu and Paul Steinhardt showed in Science (2007)", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_pauli_exclusion_principle", "title": "Pauli exclusion principle", "shelf": "theories", "surface": "secular", "snippet": "Pauli exclusion principle — an engine domain that can touch it: atomic. Calibration: seals — electron configurations and shell capacities compute. No two identical fermions may occupy the same quantum", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_quasicrystals", "title": "Quasicrystals (forbidden symmetry in real matter)", "shelf": "theories", "surface": "secular", "snippet": "Matter that is ordered but not periodic. Dan Shechtman recorded an electron diffraction pattern from rapidly cooled Al-Mn on 8 April 1982 showing SHARP Bragg peaks with ten-fold symmetry — sharp peaks", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_aperiodic_tiling", "title": "Aperiodic tiling (Penrose, and the 2023 monotile)", "shelf": "theories", "surface": "secular", "snippet": "Two tile shapes plus local edge-matching rules that cover the plane completely and CANNOT repeat. Penrose (1974) gave two forms: P2, the kite and dart; P3, a thin rhombus (36°) and a fat one (72°). Th", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_honeycomb_conjecture", "title": "Optimal packing & the honeycomb conjecture (Hales)", "shelf": "theories", "surface": "secular", "snippet": "The hexagonal grid is the most efficient way to divide a surface into regions of equal area with the LEAST TOTAL PERIMETER. Stated by Pappus of Alexandria around 300 AD as an observation about bees, i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_domchk_periodic_table_claimed_atomic_number", "title": "Periodic Table: atomic number", "shelf": "periodic_table", "surface": "secular", "snippet": "A worked check in periodic table: atomic number.\n\nGIVEN\n  symbol = Fe\n\nCLAIMED\n  claimed_atomic_number = 26\n\nTHE ENGINE'S VERDICT\n  periodic_table.element: CONFIRMED — Fe (iron, Z=26) — definitional c", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_domchk_periodic_table_claimed_name", "title": "Periodic Table: name", "shelf": "periodic_table", "surface": "secular", "snippet": "A worked check in periodic table: name.\n\nGIVEN\n  symbol = Fe\n\nCLAIMED\n  claimed_name = iron\n\nTHE ENGINE'S VERDICT\n  periodic_table.element: CONFIRMED — Fe (iron, Z=26) — definitional claims match\n\nAND", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_domchk_periodic_table_claimed_atomic_mass", "title": "Periodic Table: atomic mass", "shelf": "periodic_table", "surface": "secular", "snippet": "A worked check in periodic table: atomic mass.\n\nGIVEN\n  isotopes = [{'abundance': 5.845, 'mass': 53.9396}, {'abundance': 91.754, 'mass': 55.9349}, {'abundance': 2.119, 'mass': 56.9354}, {'abundance': ", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_src_word_periodic_table", "title": "periodic table", "shelf": "dictionary", "surface": "secular", "snippet": "periodic table: (noun) (chemistry) a tabular arrangement of the chemical elements according to atomic number as based on the periodic law", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_spine_domain_periodic_table", "title": "Periodic Table — what this engine can check", "shelf": "periodic_table", "surface": "secular", "snippet": "The periodic table shelf of the keeping. This engine holds a deterministic verifier for periodic table: hand it a claim in the PT_VERIFY shape and it returns a verdict, the worked trail, and a re-chec", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_v_0b665c56e42e", "title": "Z = 6 ↔ carbon (C)", "shelf": "periodic_table", "surface": "secular", "snippet": "Verdict: HOLDS.\n• periodic_table.element: C (carbon, Z=6) — definitional claims match\nSealed and independently re-checkable: https://narrowhighway.com/s/4f0e0dd73b703223c7c09fd367e0c4e13a91ecbd375f6c7", "authority_tier": "engine", "source": "Verified by the engine — periodic_table", "generated": false}, {"id": "card_c_762033f6fc71", "title": "Chemistry — the bookkeeping of atoms ↔ The periodic table — the map of the elements", "shelf": "connections", "surface": null, "snippet": "the periodic table is discovered, not derived  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_src_word_periodic_law", "title": "periodic law", "shelf": "dictionary", "surface": "secular", "snippet": "periodic law: (noun) (chemistry) the principle that chemical properties of the elements are periodic functions of their atomic numbers — syn: Mendeleev's law", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_ref_el_001", "title": "Hydrogen (H) — element 1", "shelf": "chemistry", "surface": "secular", "snippet": "Atomic number 1. Symbol H. Standard atomic weight 1.008. The hydrogen atom carries 1 proton in its nucleus; its place in the periodic table is fixed by that count. Verified reference data.", "authority_tier": "reference", "source": "Verified reference — chemistry", "generated": false}, {"id": "card_ref_el_005", "title": "Boron (B) — element 5", "shelf": "chemistry", "surface": "secular", "snippet": "Atomic number 5. Symbol B. Standard atomic weight 10.81. The boron atom carries 5 protons in its nucleus; its place in the periodic table is fixed by that count. Verified reference data.", "authority_tier": "reference", "source": "Verified reference — chemistry", "generated": false}, {"id": "card_ref_el_006", "title": "Carbon (C) — element 6", "shelf": "chemistry", "surface": "secular", "snippet": "Atomic number 6. Symbol C. Standard atomic weight 12.011. The carbon atom carries 6 protons in its nucleus; its place in the periodic table is fixed by that count. Verified reference data.", "authority_tier": "reference", "source": "Verified reference — chemistry", "generated": false}, {"id": "card_ref_el_007", "title": "Nitrogen (N) — element 7", "shelf": "chemistry", "surface": "secular", "snippet": "Atomic number 7. Symbol N. Standard atomic weight 14.007. The nitrogen atom carries 7 protons in its nucleus; its place in the periodic table is fixed by that count. Verified reference data.", "authority_tier": "reference", "source": "Verified reference — chemistry", "generated": false}, {"id": "card_ref_el_008", "title": "Oxygen (O) — element 8", "shelf": "chemistry", "surface": "secular", "snippet": "Atomic number 8. Symbol O. Standard atomic weight 15.999. The oxygen atom carries 8 protons in its nucleus; its place in the periodic table is fixed by that count. Verified reference data.", "authority_tier": "reference", "source": "Verified reference — chemistry", "generated": false}]}