{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JR66NID2K7T3C6RI6QY3XUWDHT","short_pith_number":"pith:JR66NID2","canonical_record":{"source":{"id":"1805.04852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-05-13T10:09:16Z","cross_cats_sorted":[],"title_canon_sha256":"1603686a3b22771bcbdd53e6cb7ac5d9c49c96037aa3d77f5375431c653f1825","abstract_canon_sha256":"509434d5fd69ea223f2f6032c400d65da5547b614fe554766ea73dde957ec332"},"schema_version":"1.0"},"canonical_sha256":"4c7de6a07a57e7b17a28f431bbd2c33cfed0bcc250eff4658cb376e9c6a50502","source":{"kind":"arxiv","id":"1805.04852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04852","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04852v1","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04852","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"pith_short_12","alias_value":"JR66NID2K7T3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JR66NID2K7T3C6RI","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JR66NID2","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JR66NID2K7T3C6RI6QY3XUWDHT","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-05-13T10:09:16Z","cross_cats_sorted":[],"title_canon_sha256":"1603686a3b22771bcbdd53e6cb7ac5d9c49c96037aa3d77f5375431c653f1825","abstract_canon_sha256":"509434d5fd69ea223f2f6032c400d65da5547b614fe554766ea73dde957ec332"},"schema_version":"1.0"},"canonical_sha256":"4c7de6a07a57e7b17a28f431bbd2c33cfed0bcc250eff4658cb376e9c6a50502","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:04.435438Z","signature_b64":"3r0T0zWghLNmzrRPvWLZLazWAXofgaT/5ve3FqZdN+w5O2Fmiig2V2HkejGHLjjgtS2tm41SQghIk7xXOV+pAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c7de6a07a57e7b17a28f431bbd2c33cfed0bcc250eff4658cb376e9c6a50502","last_reissued_at":"2026-05-18T00:16:04.435065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:04.435065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04852","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":"2026-05-18T00:16:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v7mDtZd050qlZpyauiN7MUITI7EP3AwdZbIWK3W+u7cIngzwkPYPxQ6oPrzaLlbgp1FW/NPtRa3jdjMN+30TAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:18:19.182084Z"},"content_sha256":"dd9b570740d47b5ad5116c1156618f609e28cc95fc34285ce3399455dda6f5de","schema_version":"1.0","event_id":"sha256:dd9b570740d47b5ad5116c1156618f609e28cc95fc34285ce3399455dda6f5de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JR66NID2K7T3C6RI6QY3XUWDHT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypersequents and Systems of Rules: Embeddings and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Agata Ciabattoni, Francesco A. Genco","submitted_at":"2018-05-13T10:09:16Z","abstract_excerpt":"We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04852","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":"2026-05-18T00:16:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xRhn/0/ROjAMX6cLFylaeSaI9fqqfYlx9hRwgRd3Zh00S+wh7wx3hR3XUQl8KTKoQR8tvacZp+ae77ywnM/nBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:18:19.182443Z"},"content_sha256":"62eaf2f42e81a55244f2979c739748d5cde7a9944fc735e16a841c2c2dcdb23b","schema_version":"1.0","event_id":"sha256:62eaf2f42e81a55244f2979c739748d5cde7a9944fc735e16a841c2c2dcdb23b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JR66NID2K7T3C6RI6QY3XUWDHT/bundle.json","state_url":"https://pith.science/pith/JR66NID2K7T3C6RI6QY3XUWDHT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JR66NID2K7T3C6RI6QY3XUWDHT/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":"2026-05-31T10:18:19Z","links":{"resolver":"https://pith.science/pith/JR66NID2K7T3C6RI6QY3XUWDHT","bundle":"https://pith.science/pith/JR66NID2K7T3C6RI6QY3XUWDHT/bundle.json","state":"https://pith.science/pith/JR66NID2K7T3C6RI6QY3XUWDHT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JR66NID2K7T3C6RI6QY3XUWDHT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JR66NID2K7T3C6RI6QY3XUWDHT","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":"509434d5fd69ea223f2f6032c400d65da5547b614fe554766ea73dde957ec332","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-05-13T10:09:16Z","title_canon_sha256":"1603686a3b22771bcbdd53e6cb7ac5d9c49c96037aa3d77f5375431c653f1825"},"schema_version":"1.0","source":{"id":"1805.04852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04852","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04852v1","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04852","created_at":"2026-05-18T00:16:04Z"},{"alias_kind":"pith_short_12","alias_value":"JR66NID2K7T3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JR66NID2K7T3C6RI","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JR66NID2","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:62eaf2f42e81a55244f2979c739748d5cde7a9944fc735e16a841c2c2dcdb23b","target":"graph","created_at":"2026-05-18T00:16:04Z","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":"We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules.","authors_text":"Agata Ciabattoni, Francesco A. Genco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-05-13T10:09:16Z","title":"Hypersequents and Systems of Rules: Embeddings and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04852","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:dd9b570740d47b5ad5116c1156618f609e28cc95fc34285ce3399455dda6f5de","target":"record","created_at":"2026-05-18T00:16:04Z","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":"509434d5fd69ea223f2f6032c400d65da5547b614fe554766ea73dde957ec332","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-05-13T10:09:16Z","title_canon_sha256":"1603686a3b22771bcbdd53e6cb7ac5d9c49c96037aa3d77f5375431c653f1825"},"schema_version":"1.0","source":{"id":"1805.04852","kind":"arxiv","version":1}},"canonical_sha256":"4c7de6a07a57e7b17a28f431bbd2c33cfed0bcc250eff4658cb376e9c6a50502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c7de6a07a57e7b17a28f431bbd2c33cfed0bcc250eff4658cb376e9c6a50502","first_computed_at":"2026-05-18T00:16:04.435065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:04.435065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3r0T0zWghLNmzrRPvWLZLazWAXofgaT/5ve3FqZdN+w5O2Fmiig2V2HkejGHLjjgtS2tm41SQghIk7xXOV+pAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:04.435438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd9b570740d47b5ad5116c1156618f609e28cc95fc34285ce3399455dda6f5de","sha256:62eaf2f42e81a55244f2979c739748d5cde7a9944fc735e16a841c2c2dcdb23b"],"state_sha256":"143716d4231305d6d80981e9679c96ac08ab5ee20fb2d3768858188ac86c6f35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GJlmm0RsnlZCEDj8sPlhBd+l1Lw8Tw4+jxpMJ/Mys1bG8qqKa4KWZsU1D/o1IS2iBQDLbuoOU42zSlEjYpMDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:18:19.184530Z","bundle_sha256":"0dfc7c461b52a9df89c7271d758a49781e447e88293090409db10b69a22a66c4"}}