{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:25MVJ6ALPYFDURNM26ORRQILKR","short_pith_number":"pith:25MVJ6AL","canonical_record":{"source":{"id":"1906.01519","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-04T15:31:35Z","cross_cats_sorted":["cs.PL","math.CT"],"title_canon_sha256":"184706388106e7f1d4fde2fb442ce7f34b283854c96ef7467e35ccb86ef48cbc","abstract_canon_sha256":"79370d6acb089341a1641aca59245ee1b8bc4a94c6e563cb99b1d6a8a397451f"},"schema_version":"1.0"},"canonical_sha256":"d75954f80b7e0a3a45acd79d18c10b546df72f465043ce3da8d81c0d8a88df10","source":{"kind":"arxiv","id":"1906.01519","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.01519","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1906.01519v2","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01519","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"25MVJ6ALPYFD","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"25MVJ6ALPYFDURNM","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"25MVJ6AL","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:25MVJ6ALPYFDURNM26ORRQILKR","target":"record","payload":{"canonical_record":{"source":{"id":"1906.01519","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-04T15:31:35Z","cross_cats_sorted":["cs.PL","math.CT"],"title_canon_sha256":"184706388106e7f1d4fde2fb442ce7f34b283854c96ef7467e35ccb86ef48cbc","abstract_canon_sha256":"79370d6acb089341a1641aca59245ee1b8bc4a94c6e563cb99b1d6a8a397451f"},"schema_version":"1.0"},"canonical_sha256":"d75954f80b7e0a3a45acd79d18c10b546df72f465043ce3da8d81c0d8a88df10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:41.862799Z","signature_b64":"SGDvseYV95EDQkYVxBZUoddsaGA2Pu6QXBryczefuHkeF3xCMA0V07cz8rT+Dwb9YwIexkoMeq335j2X0dh0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d75954f80b7e0a3a45acd79d18c10b546df72f465043ce3da8d81c0d8a88df10","last_reissued_at":"2026-05-17T23:41:41.862346Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:41.862346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.01519","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IVL5EjsZLiPvspA2AvOZ7FBeseR/JpKNyO+40J74Zn2jwa/Ru1Bgwu3WV7jpiKrHER5xP0VGjYEwfzzVxolMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:07:17.237666Z"},"content_sha256":"7516b514f2454146fb97d16f0f2b07bc5ab7b7a961ef12e6321b8185a2f78461","schema_version":"1.0","event_id":"sha256:7516b514f2454146fb97d16f0f2b07bc5ab7b7a961ef12e6321b8185a2f78461"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:25MVJ6ALPYFDURNM26ORRQILKR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bialgebraic Semantics for String Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL","math.CT"],"primary_cat":"cs.LO","authors_text":"Fabio Zanasi, Filippo Bonchi, Pawel Sobocinski, Robin Piedeleu","submitted_at":"2019-06-04T15:31:35Z","abstract_excerpt":"Turi and Plotkin's bialgebraic semantics is an abstract approach to specifying the operational semantics of a system, by means of a distributive law between its syntax (encoded as a monad) and its dynamics (an endofunctor). This setup is instrumental in showing that a semantic specification (a coalgebra) satisfies desirable properties: in particular, that it is compositional.\n  In this work, we use the bialgebraic approach to derive well-behaved structural operational semantics of string diagrams, a graphical syntax that is increasingly used in the study of interacting systems across different"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01519","kind":"arxiv","version":2},"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":"2026-05-17T23:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wfgUdyBAGymPIq8QJPFdJh5S/MlK5lmc4jqBSu/eAqDNBu3oB8xHnsQPADDg0xKByJePZNUCWw7okte0xGtLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:07:17.238392Z"},"content_sha256":"db27cb9b459afec796424f9e316d0dd3b2a6fdfb6758bd0ad9433c51dd8b1ff8","schema_version":"1.0","event_id":"sha256:db27cb9b459afec796424f9e316d0dd3b2a6fdfb6758bd0ad9433c51dd8b1ff8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25MVJ6ALPYFDURNM26ORRQILKR/bundle.json","state_url":"https://pith.science/pith/25MVJ6ALPYFDURNM26ORRQILKR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25MVJ6ALPYFDURNM26ORRQILKR/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":"2026-06-05T03:07:17Z","links":{"resolver":"https://pith.science/pith/25MVJ6ALPYFDURNM26ORRQILKR","bundle":"https://pith.science/pith/25MVJ6ALPYFDURNM26ORRQILKR/bundle.json","state":"https://pith.science/pith/25MVJ6ALPYFDURNM26ORRQILKR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25MVJ6ALPYFDURNM26ORRQILKR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:25MVJ6ALPYFDURNM26ORRQILKR","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":"79370d6acb089341a1641aca59245ee1b8bc4a94c6e563cb99b1d6a8a397451f","cross_cats_sorted":["cs.PL","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-04T15:31:35Z","title_canon_sha256":"184706388106e7f1d4fde2fb442ce7f34b283854c96ef7467e35ccb86ef48cbc"},"schema_version":"1.0","source":{"id":"1906.01519","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.01519","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1906.01519v2","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01519","created_at":"2026-05-17T23:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"25MVJ6ALPYFD","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"25MVJ6ALPYFDURNM","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"25MVJ6AL","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:db27cb9b459afec796424f9e316d0dd3b2a6fdfb6758bd0ad9433c51dd8b1ff8","target":"graph","created_at":"2026-05-17T23:41:41Z","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":"Turi and Plotkin's bialgebraic semantics is an abstract approach to specifying the operational semantics of a system, by means of a distributive law between its syntax (encoded as a monad) and its dynamics (an endofunctor). This setup is instrumental in showing that a semantic specification (a coalgebra) satisfies desirable properties: in particular, that it is compositional.\n  In this work, we use the bialgebraic approach to derive well-behaved structural operational semantics of string diagrams, a graphical syntax that is increasingly used in the study of interacting systems across different","authors_text":"Fabio Zanasi, Filippo Bonchi, Pawel Sobocinski, Robin Piedeleu","cross_cats":["cs.PL","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-04T15:31:35Z","title":"Bialgebraic Semantics for String Diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01519","kind":"arxiv","version":2},"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":"sha256:7516b514f2454146fb97d16f0f2b07bc5ab7b7a961ef12e6321b8185a2f78461","target":"record","created_at":"2026-05-17T23:41:41Z","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":"79370d6acb089341a1641aca59245ee1b8bc4a94c6e563cb99b1d6a8a397451f","cross_cats_sorted":["cs.PL","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-04T15:31:35Z","title_canon_sha256":"184706388106e7f1d4fde2fb442ce7f34b283854c96ef7467e35ccb86ef48cbc"},"schema_version":"1.0","source":{"id":"1906.01519","kind":"arxiv","version":2}},"canonical_sha256":"d75954f80b7e0a3a45acd79d18c10b546df72f465043ce3da8d81c0d8a88df10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d75954f80b7e0a3a45acd79d18c10b546df72f465043ce3da8d81c0d8a88df10","first_computed_at":"2026-05-17T23:41:41.862346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:41.862346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SGDvseYV95EDQkYVxBZUoddsaGA2Pu6QXBryczefuHkeF3xCMA0V07cz8rT+Dwb9YwIexkoMeq335j2X0dh0Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:41.862799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.01519","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7516b514f2454146fb97d16f0f2b07bc5ab7b7a961ef12e6321b8185a2f78461","sha256:db27cb9b459afec796424f9e316d0dd3b2a6fdfb6758bd0ad9433c51dd8b1ff8"],"state_sha256":"b653732ee4a97719a863478e04f9568fa444e53db38c10f1c93db0452800b673"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFwciUXBwtz1WW8zM99wn4HmnCRWFETH5ZoaVjzJMM85sxvzbxuN8erCw3ljRs2M3opfc6EqLjt9v0+XAQKgAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T03:07:17.241887Z","bundle_sha256":"4ba58ba37b6ae0e34b183fddb5506c1fd2896b6cdaea9671adbe492475c852a4"}}