{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KBO2IYNMRQVSANKSEE5HTZD2VM","short_pith_number":"pith:KBO2IYNM","schema_version":"1.0","canonical_sha256":"505da461ac8c2b203552213a79e47aab15fe1556c5062470f5bd2f520c278639","source":{"kind":"arxiv","id":"1907.00509","version":1},"attestation_state":"computed","paper":{"title":"The Semantics of Rank Polymorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Justin Slepak, Olin Shivers, Panagiotis Manolios","submitted_at":"2019-07-01T01:42:53Z","abstract_excerpt":"Iverson's APL and its descendants (such as J, K and FISh) are examples of the family of \"rank-polymorphic\" programming languages. The principal control mechanism of such languages is the general lifting of functions that operate on arrays of rank (or dimension) $r$ to operate on arrays of any higher rank $r' > r$. We present a core, functional language, Remora, that captures this mechanism, and develop both a formal, dynamic semantics for the language, and an accompanying static, rank-polymorphic type system for the language. Critically, the static semantics captures the shape-based lifting me"},"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":"1907.00509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2019-07-01T01:42:53Z","cross_cats_sorted":[],"title_canon_sha256":"58cd7eeb823ed95a426c945b8a9bc938da568097deafa0a9e7eb9708823a18fd","abstract_canon_sha256":"6b3ba959097eff0a3bb66bdc62a08e796a62af065f2fd225d045a603250de51a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:51.418523Z","signature_b64":"Gh2ANi+zt4A6CoLtxtsvJ3flB1PsgexGrMp0ntZLmvkREd5YxnlXBaSysXrLWUS1pFHd51zdNiBJiZjJeWIKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"505da461ac8c2b203552213a79e47aab15fe1556c5062470f5bd2f520c278639","last_reissued_at":"2026-05-17T23:41:51.417890Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:51.417890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Semantics of Rank Polymorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Justin Slepak, Olin Shivers, Panagiotis Manolios","submitted_at":"2019-07-01T01:42:53Z","abstract_excerpt":"Iverson's APL and its descendants (such as J, K and FISh) are examples of the family of \"rank-polymorphic\" programming languages. The principal control mechanism of such languages is the general lifting of functions that operate on arrays of rank (or dimension) $r$ to operate on arrays of any higher rank $r' > r$. We present a core, functional language, Remora, that captures this mechanism, and develop both a formal, dynamic semantics for the language, and an accompanying static, rank-polymorphic type system for the language. Critically, the static semantics captures the shape-based lifting me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00509","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":"1907.00509","created_at":"2026-05-17T23:41:51.417986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.00509v1","created_at":"2026-05-17T23:41:51.417986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00509","created_at":"2026-05-17T23:41:51.417986+00:00"},{"alias_kind":"pith_short_12","alias_value":"KBO2IYNMRQVS","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KBO2IYNMRQVSANKS","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KBO2IYNM","created_at":"2026-05-18T12:33:21.387695+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/KBO2IYNMRQVSANKSEE5HTZD2VM","json":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM.json","graph_json":"https://pith.science/api/pith-number/KBO2IYNMRQVSANKSEE5HTZD2VM/graph.json","events_json":"https://pith.science/api/pith-number/KBO2IYNMRQVSANKSEE5HTZD2VM/events.json","paper":"https://pith.science/paper/KBO2IYNM"},"agent_actions":{"view_html":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM","download_json":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM.json","view_paper":"https://pith.science/paper/KBO2IYNM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.00509&json=true","fetch_graph":"https://pith.science/api/pith-number/KBO2IYNMRQVSANKSEE5HTZD2VM/graph.json","fetch_events":"https://pith.science/api/pith-number/KBO2IYNMRQVSANKSEE5HTZD2VM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM/action/storage_attestation","attest_author":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM/action/author_attestation","sign_citation":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM/action/citation_signature","submit_replication":"https://pith.science/pith/KBO2IYNMRQVSANKSEE5HTZD2VM/action/replication_record"}},"created_at":"2026-05-17T23:41:51.417986+00:00","updated_at":"2026-05-17T23:41:51.417986+00:00"}