{"id": "card_floor_cryptography", "kind": "note", "title": "Cryptography — public keys and hard problems", "body": "Secrecy built on number theory and computational hardness. RSA encrypts with a public key and decrypts with a private one (the round-trip sealed), its security the belief that factoring is hard; the one-time pad has perfect secrecy. Four pillars rest on the instruments (number theory, information), the P vs NP region (hardness), and Riemann (the primes). The applied domain where the Millennium problems become a daily tool - every secure connection bets factoring is hard. The stick (stick_cryptography_public_keys_and_hard_problems) seals the RSA round-trip and Fermat's little theorem (tools/seed_cryptography.py).", "source": {"label": "Narrow Highway — cryptography", "url": "", "authority_tier": "engine_derived", "ref": "stick_cryptography_public_keys_and_hard_problems"}, "shelf": "codex", "box": "cryptography", "bands": ["floor", "cryptography", "rsa", "primes", "hardness", "one map"], "subject": "Cryptography — public keys and hard problems", "connections": [{"to_card_id": "card_crypto_public_key", "relationship": "has_part", "evidence": "a pillar of cryptography (Public-key cryptography)"}, {"to_card_id": "card_crypto_hardness", "relationship": "has_part", "evidence": "a pillar of cryptography (Hardness)"}, {"to_card_id": "card_crypto_perfect_secrecy", "relationship": "has_part", "evidence": "a pillar of cryptography (Perfect secrecy)"}, {"to_card_id": "card_crypto_primes", "relationship": "has_part", "evidence": "a pillar of cryptography (Primes)"}, {"to_card_id": "card_k_floor_of_discovery", "relationship": "part_of", "evidence": "secrecy on the one map"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.cryptography", "facets": {"subject": ["floor", "hardness", "one map", "primes", "rsa"]}, "presentation": {"glyph": "•", "kind_label": "cryptography", "by": "Narrow Highway — cryptography", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_crypto_public_key", "title": "Public-key cryptography — RSA", "relationship": "has part", "why": "a pillar of cryptography (Public-key cryptography)", "href": "/card/card_crypto_public_key", "resolved": true}, {"id": "card_crypto_hardness", "title": "Hardness — security is a hard problem", "relationship": "has part", "why": "a pillar of cryptography (Hardness)", "href": "/card/card_crypto_hardness", "resolved": true}, {"id": "card_crypto_perfect_secrecy", "title": "Perfect secrecy — the one-time pad", "relationship": "has part", "why": "a pillar of cryptography (Perfect secrecy)", "href": "/card/card_crypto_perfect_secrecy", "resolved": true}, {"id": "card_crypto_primes", "title": "Primes — the raw material", "relationship": "has part", "why": "a pillar of cryptography (Primes)", "href": "/card/card_crypto_primes", "resolved": true}, {"id": "card_k_floor_of_discovery", "title": "The Floor of Discovery — one floor, and by its design the fear of God", "relationship": "part of", "why": "secrecy on the one map", "href": "/card/card_k_floor_of_discovery", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_floor_cryptography", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_floor_cryptography"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}