{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FUQA7KMCAZLKX7YV6YBP6TQZ7N","short_pith_number":"pith:FUQA7KMC","schema_version":"1.0","canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","source":{"kind":"arxiv","id":"1903.00922","version":1},"attestation_state":"computed","paper":{"title":"Modular specification of monads through higher-order presentations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Ambroise Lafont, Andr\\'e Hirschowitz, Benedikt Ahrens, Marco Maggesi","submitted_at":"2019-03-03T15:00:36Z","abstract_excerpt":"In their work on second-order equational logic, Fiore and Hur have studied presentations of simply typed languages by generating binding constructions and equations among them. To each pair consisting of a binding signature and a set of equations, they associate a category of `models', and they give a monadicity result which implies that this category has an initial object, which is the language presented by the pair.\n  In the present work, we propose, for the untyped setting, a variant of their approach where monads and modules over them are the central notions. More precisely, we study, for "},"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":"1903.00922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-03-03T15:00:36Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"79b1b590c868128147cf3d74fa20cdd446f1208010f6c1fb0b4dc445ab6b9724","abstract_canon_sha256":"eb7b915a9001d1063e03e8acfd7e4b99acba70aa7bd78e32ab611e52e85d07ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:38.950497Z","signature_b64":"MclAUAKSfNymtn5CwFu3c+qJc6+qZJ1A1AdTE3ZKLG38x4ZzU3t2uI48McZC2QxuAckflOqYtiE6RhGUuBhvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","last_reissued_at":"2026-05-17T23:40:38.950023Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:38.950023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular specification of monads through higher-order presentations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Ambroise Lafont, Andr\\'e Hirschowitz, Benedikt Ahrens, Marco Maggesi","submitted_at":"2019-03-03T15:00:36Z","abstract_excerpt":"In their work on second-order equational logic, Fiore and Hur have studied presentations of simply typed languages by generating binding constructions and equations among them. To each pair consisting of a binding signature and a set of equations, they associate a category of `models', and they give a monadicity result which implies that this category has an initial object, which is the language presented by the pair.\n  In the present work, we propose, for the untyped setting, a variant of their approach where monads and modules over them are the central notions. More precisely, we study, for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00922","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":"1903.00922","created_at":"2026-05-17T23:40:38.950087+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.00922v1","created_at":"2026-05-17T23:40:38.950087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00922","created_at":"2026-05-17T23:40:38.950087+00:00"},{"alias_kind":"pith_short_12","alias_value":"FUQA7KMCAZLK","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"FUQA7KMCAZLKX7YV","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"FUQA7KMC","created_at":"2026-05-18T12:33:15.570797+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/FUQA7KMCAZLKX7YV6YBP6TQZ7N","json":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N.json","graph_json":"https://pith.science/api/pith-number/FUQA7KMCAZLKX7YV6YBP6TQZ7N/graph.json","events_json":"https://pith.science/api/pith-number/FUQA7KMCAZLKX7YV6YBP6TQZ7N/events.json","paper":"https://pith.science/paper/FUQA7KMC"},"agent_actions":{"view_html":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N","download_json":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N.json","view_paper":"https://pith.science/paper/FUQA7KMC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.00922&json=true","fetch_graph":"https://pith.science/api/pith-number/FUQA7KMCAZLKX7YV6YBP6TQZ7N/graph.json","fetch_events":"https://pith.science/api/pith-number/FUQA7KMCAZLKX7YV6YBP6TQZ7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/action/storage_attestation","attest_author":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/action/author_attestation","sign_citation":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/action/citation_signature","submit_replication":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/action/replication_record"}},"created_at":"2026-05-17T23:40:38.950087+00:00","updated_at":"2026-05-17T23:40:38.950087+00:00"}