{"query": "/24 → 2⁸ − 2 = 254 usable hosts", "count": 20, "results": [{"id": "card_v_6667cbff7155", "title": "/24 → 2⁸ − 2 = 254 usable hosts", "shelf": "networking", "surface": "secular", "snippet": "Verdict: HOLDS.\n• networking.subnet_host_count: /24 has 254 usable hosts (matches claim)\nSealed and independently re-checkable: https://narrowhighway.com/s/75c4e49ba527c335c5c03226ddc0c5f22454d9d35393", "authority_tier": "engine", "source": "Verified by the engine — networking", "readable": false, "generated": false}, {"id": "card_theory_network_theory", "title": "Network theory (routing, addressing / CIDR)", "shelf": "theories", "surface": "secular", "snippet": "Network theory (routing, addressing / CIDR) — an engine domain that can touch it: networking. Calibration: seals — subnet masks, address ranges and prefix matches compute exactly. An IP address is spl", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_music_theory", "title": "Music theory (harmonic series, equal temperament)", "shelf": "theories", "surface": "secular", "snippet": "Music theory (harmonic series, equal temperament) — an engine domain that can touch it: music_theory. Calibration: seals — frequencies, intervals and temperament errors compute exactly. A vibrating st", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_antibiotics_resistance", "title": "Antibiotics & antimicrobial resistance (Fleming's own warning)", "shelf": "theories", "surface": "secular", "snippet": "Antibiotics & antimicrobial resistance (Fleming's own warning) — an engine domain that can touch it: medicine. Calibration: map-only — dosing computes (see pharmacokinetics); resistance dynamics are e", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_haber_bosch", "title": "Haber–Bosch nitrogen fixation (bread from air)", "shelf": "theories", "surface": "secular", "snippet": "Haber–Bosch nitrogen fixation (bread from air) — an engine domain that can touch it: chemistry. Calibration: seals — stoichiometry, yield and equilibrium shifts compute. N₂ + 3H₂ ⇌ 2NH₃, run at roughl", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_domchk_networking_claimed_usable_hosts", "title": "Networking: usable hosts", "shelf": "networking", "surface": "secular", "snippet": "A worked check in networking: usable hosts.\n\nGIVEN\n  subnet_prefix = 24\n\nCLAIMED\n  claimed_usable_hosts = 254\n\nTHE ENGINE'S VERDICT\n  networking.subnet_host_count: CONFIRMED — /24 has 254 usable hosts", "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)", "readable": false, "generated": false}, {"id": "card_power_batteries", "title": "Batteries — the store, and how not to wreck it", "shelf": "energy", "surface": "secular", "snippet": "The battery is your reservoir. LEAD-ACID (flooded/AGM) is cheap but heavy, and you must not regularly drain it below ~50% or it dies young — so a 100 Ah lead-acid battery gives ~50 Ah of usable energy", "authority_tier": "reference", "source": "U.S. Department of Energy / NREL consumer energy guidance (public domain)", "readable": false, "generated": false}, {"id": "card_domchk_cybersecurity_claimed_host_count", "title": "Cybersecurity: host count", "shelf": "cybersecurity", "surface": "secular", "snippet": "A worked check in cybersecurity: host count.\n\nGIVEN\n  cidr_prefix = 24\n\nCLAIMED\n  claimed_host_count = 254\n\nTHE ENGINE'S VERDICT\n  cybersecurity.subnet_hosts: CONFIRMED — /24 → 254 usable hosts (match", "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)", "readable": false, "generated": false}, {"id": "card_works_subnet", "title": "How many hosts fit in a /24", "shelf": "the-works", "surface": "secular", "snippet": "A /24 subnet leaves 8 host bits — 2⁸ − 2 = 254 usable addresses, after reserving the network and broadcast. The daily arithmetic of every network.  Worked & sealed by the engine — /24 → 2⁸ − 2 = 254 u", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_seal_f6256e6e50cda853a02e1d13fff4c8dc2f289b1f9afa29d76bef09e6c37b10bf", "title": "Receipt f6256e6e50cd… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"cybersecurity\",\n  \"dimensions\": [\n   \"authority_trust\",\n   \"encoding\",\n   \"physical_substance\",\n   \"reasoning\",\n   \"time_sequence\"\n  ]\n },\n \"gate_results", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_seal_d4fb778c417b18dd1db13329d0516c295255431c4eb301a9182e8fecc5a8bdd2", "title": "Receipt d4fb778c417b… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"cybersecurity\",\n  \"dimensions\": [\n   \"authority_trust\",\n   \"encoding\",\n   \"physical_substance\",\n   \"reasoning\",\n   \"time_sequence\"\n  ]\n },\n \"gate_results", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_seal_be7bb8019ccf0540c1a0c73d43920c1c26e83dc9adcb4c67d402b7be479bc209", "title": "Receipt be7bb8019ccf… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"cybersecurity\",\n  \"dimensions\": [\n   \"authority_trust\",\n   \"encoding\",\n   \"physical_substance\",\n   \"reasoning\",\n   \"time_sequence\"\n  ]\n },\n \"gate_results", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_c_bfd860ef895f", "title": "The three doors the disease framework could  ↔ Reading the body's dashboard — HRV, pupil, s", "shelf": "connections", "surface": null, "snippet": "the dashboard signals (HRV, pupillometry, biomarker thresholds) are confounded proxies, usable only as within-person slopes under controlled conditions  — a concord the card itself states; mined + ver", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_src_etym_miohippus", "title": "miohippus", "shelf": "etymology", "surface": "secular", "snippet": "miohippus: etymology (Webster 1913) — n.: [NL., fr. Gr. (Paleon.) Defn: An extinct Miocene mammal of the Horse family, closely related to the genus Anhithecrium, and having three usable hoofs on each ", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_n_a735e61f7ca1", "title": "Shortwave (HF) — around the world on the ionosphere's mirror", "shelf": "science", "surface": "secular", "snippet": "3–30 MHz; the 19 m band's wavelength seals at 15 MHz: https://narrowhighway.com/s/d6211f4efb2518c6de145decf57f27b131a01c24ce7841853f395b7bc986c323 . Here the ionosphere's\nF-layer refracts waves back t", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_src_frd_mongolia", "title": "Mongolia: A Country Study", "shelf": "countries", "surface": "secular", "snippet": "Civil Aviation: Airfields totaled eighty, thirty usable, ten with permanent-surface runways; largest at Ulaanbaatar. National car- rier: Mongolian Airlines (MIAT). Domestic service to provincial- leve", "authority_tier": "reference", "source": "Mongolia: A Country Study — Federal Research Division, Library of Congress (1991) (public domain)", "readable": true, "generated": false}, {"id": "card_src_word_rout", "title": "rout", "shelf": "dictionary", "surface": "secular", "snippet": "rout: (noun) a disorderly crowd of people — syn: mob, rabble · (noun) an overwhelming defeat · (verb) cause to flee — syn: rout out, expel · (verb) dig with the snout — syn: root, rootle · (verb) make", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_revel_rout", "title": "revel-rout", "shelf": "etymology", "surface": "secular", "snippet": "revel-rout: etymology (Webster 1913) — n.: [See Rout.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_rout", "title": "rout", "shelf": "etymology", "surface": "secular", "snippet": "rout: etymology (Webster 1913) — v. i.: [AS. hrutan.]; v. t.: [A variant of root.]; n.: [OF. route, LL. rupta, properly, a breaking, fr. L. ruptus, p.p. of rumpere to break. See Rupture, reave, and cf", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_word_discomfit", "title": "discomfit", "shelf": "dictionary", "surface": "secular", "snippet": "1. To scatter in fight; to put to rout; to defeat. And his proud foes discomfit in victorious field. Spenser. 2. To break up and frustrate the plans of; to balk Well, go with me and be not so discomfi", "authority_tier": "reference", "source": "webster-1913", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_v_6667cbff7155"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}