{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FUQA7KMCAZLKX7YV6YBP6TQZ7N","short_pith_number":"pith:FUQA7KMC","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"},"canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","source":{"kind":"arxiv","id":"1903.00922","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00922","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00922v1","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00922","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"pith_short_12","alias_value":"FUQA7KMCAZLK","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FUQA7KMCAZLKX7YV","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FUQA7KMC","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FUQA7KMCAZLKX7YV6YBP6TQZ7N","target":"record","payload":{"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"},"canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","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"},"source_kind":"arxiv","source_id":"1903.00922","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tSKrXe+6ycdA35KYs0rjVtGb8OGLU38LzI13+wMvrSYpgHD/A2FMcuLaqPema0FD//iMQUWWefuPSu6wOGWQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:46:58.927917Z"},"content_sha256":"93e8abe757e5dd2520a3ecabf2d92d84a61c98b1e1fb6124c8edf43df288b5f8","schema_version":"1.0","event_id":"sha256:93e8abe757e5dd2520a3ecabf2d92d84a61c98b1e1fb6124c8edf43df288b5f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FUQA7KMCAZLKX7YV6YBP6TQZ7N","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q9Pa3iwQRBUVlnoYCCyxiiYWfiEYGvhrm19uiUKDOiywF78EwJKFAS/v8QNjTx9uJ/bf12qox9nl9bmEoKOGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:46:58.928259Z"},"content_sha256":"4068b96dbe13de0b5c732b0dd17eb023caab9772a8aa00d9b132fa8cec804a9a","schema_version":"1.0","event_id":"sha256:4068b96dbe13de0b5c732b0dd17eb023caab9772a8aa00d9b132fa8cec804a9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/bundle.json","state_url":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T14:46:58Z","links":{"resolver":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N","bundle":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/bundle.json","state":"https://pith.science/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FUQA7KMCAZLKX7YV6YBP6TQZ7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FUQA7KMCAZLKX7YV6YBP6TQZ7N","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eb7b915a9001d1063e03e8acfd7e4b99acba70aa7bd78e32ab611e52e85d07ab","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-03-03T15:00:36Z","title_canon_sha256":"79b1b590c868128147cf3d74fa20cdd446f1208010f6c1fb0b4dc445ab6b9724"},"schema_version":"1.0","source":{"id":"1903.00922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00922","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00922v1","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00922","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"pith_short_12","alias_value":"FUQA7KMCAZLK","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FUQA7KMCAZLKX7YV","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FUQA7KMC","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:4068b96dbe13de0b5c732b0dd17eb023caab9772a8aa00d9b132fa8cec804a9a","target":"graph","created_at":"2026-05-17T23:40:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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 ","authors_text":"Ambroise Lafont, Andr\\'e Hirschowitz, Benedikt Ahrens, Marco Maggesi","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-03-03T15:00:36Z","title":"Modular specification of monads through higher-order presentations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00922","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:93e8abe757e5dd2520a3ecabf2d92d84a61c98b1e1fb6124c8edf43df288b5f8","target":"record","created_at":"2026-05-17T23:40:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eb7b915a9001d1063e03e8acfd7e4b99acba70aa7bd78e32ab611e52e85d07ab","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-03-03T15:00:36Z","title_canon_sha256":"79b1b590c868128147cf3d74fa20cdd446f1208010f6c1fb0b4dc445ab6b9724"},"schema_version":"1.0","source":{"id":"1903.00922","kind":"arxiv","version":1}},"canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d200fa9820656abff15f602ff4e19fb5e0eb72be7f5218b86a77b6866ebfd2a","first_computed_at":"2026-05-17T23:40:38.950023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:38.950023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MclAUAKSfNymtn5CwFu3c+qJc6+qZJ1A1AdTE3ZKLG38x4ZzU3t2uI48McZC2QxuAckflOqYtiE6RhGUuBhvAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:38.950497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93e8abe757e5dd2520a3ecabf2d92d84a61c98b1e1fb6124c8edf43df288b5f8","sha256:4068b96dbe13de0b5c732b0dd17eb023caab9772a8aa00d9b132fa8cec804a9a"],"state_sha256":"99a428eb8477a862d37f57b737a3d805fbf819cb72dac465af55be13d922a849"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xAG41LWczvLFyD7teGg+TmpT6gowcAXKWiOjSacKAYXDGebD/741kEf9yNguT40fbURTkFA29xjkO91HIXS4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:46:58.930163Z","bundle_sha256":"4144766bc0aa725ec4e4a6dfae5bfb53030d09e23e26b3412efdcb5469c55477"}}