{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HC55E7V5T7DTLKYGCQ4BHEDXXW","short_pith_number":"pith:HC55E7V5","schema_version":"1.0","canonical_sha256":"38bbd27ebd9fc735ab061438139077bdab685ad414bf6836614afc42d8937986","source":{"kind":"arxiv","id":"1604.06059","version":1},"attestation_state":"computed","paper":{"title":"$\\mu$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Benjamin Smith (LIX, GRACE), Joost Renes, Lejla Batina, Peter Schwabe","submitted_at":"2016-04-20T18:53:18Z","abstract_excerpt":"We describe the design and implementation of efficient signature and key-exchange schemes for the AVR ATmega and ARM Cortex M0 microcontrollers, targeting the 128-bit security level. Our algorithms are based on an efficient Montgomery ladder scalar multiplication on the Kummer surface of Gaudry and Schost's genus-2 hyperelliptic curve, combined with the Jacobian point recovery technique of Costello, Chung, and Smith. Our results are the first to show the feasibility of software-only hyperelliptic cryptography on constrained platforms, and represent a significant improvement on the elliptic-cur"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.06059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2016-04-20T18:53:18Z","cross_cats_sorted":[],"title_canon_sha256":"e88553f407354a2997e0c5cb1782ac1373a5288fb91db94789bfbe4bbd60ac32","abstract_canon_sha256":"32afdf304492f5d85c0db39a05f37564602cb37ce9032ddb3aa4a3483ff54bc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:33.821535Z","signature_b64":"h4zbvntY6Kx6qIndvoQBulAPCHX1Z/ArCBeHUyONoGs/4DgEIdE6XkDJQPGnSNIt/4/3ztdeT/LOJpcKw7+FBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38bbd27ebd9fc735ab061438139077bdab685ad414bf6836614afc42d8937986","last_reissued_at":"2026-05-18T01:16:33.820857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:33.820857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\mu$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Benjamin Smith (LIX, GRACE), Joost Renes, Lejla Batina, Peter Schwabe","submitted_at":"2016-04-20T18:53:18Z","abstract_excerpt":"We describe the design and implementation of efficient signature and key-exchange schemes for the AVR ATmega and ARM Cortex M0 microcontrollers, targeting the 128-bit security level. Our algorithms are based on an efficient Montgomery ladder scalar multiplication on the Kummer surface of Gaudry and Schost's genus-2 hyperelliptic curve, combined with the Jacobian point recovery technique of Costello, Chung, and Smith. Our results are the first to show the feasibility of software-only hyperelliptic cryptography on constrained platforms, and represent a significant improvement on the elliptic-cur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06059","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.06059","created_at":"2026-05-18T01:16:33.820942+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.06059v1","created_at":"2026-05-18T01:16:33.820942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06059","created_at":"2026-05-18T01:16:33.820942+00:00"},{"alias_kind":"pith_short_12","alias_value":"HC55E7V5T7DT","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HC55E7V5T7DTLKYG","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HC55E7V5","created_at":"2026-05-18T12:30:19.053100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW","json":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW.json","graph_json":"https://pith.science/api/pith-number/HC55E7V5T7DTLKYGCQ4BHEDXXW/graph.json","events_json":"https://pith.science/api/pith-number/HC55E7V5T7DTLKYGCQ4BHEDXXW/events.json","paper":"https://pith.science/paper/HC55E7V5"},"agent_actions":{"view_html":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW","download_json":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW.json","view_paper":"https://pith.science/paper/HC55E7V5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.06059&json=true","fetch_graph":"https://pith.science/api/pith-number/HC55E7V5T7DTLKYGCQ4BHEDXXW/graph.json","fetch_events":"https://pith.science/api/pith-number/HC55E7V5T7DTLKYGCQ4BHEDXXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW/action/storage_attestation","attest_author":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW/action/author_attestation","sign_citation":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW/action/citation_signature","submit_replication":"https://pith.science/pith/HC55E7V5T7DTLKYGCQ4BHEDXXW/action/replication_record"}},"created_at":"2026-05-18T01:16:33.820942+00:00","updated_at":"2026-05-18T01:16:33.820942+00:00"}