{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4DY5FRG3O34AAPUSWNQZCPCSDH","short_pith_number":"pith:4DY5FRG3","canonical_record":{"source":{"id":"1606.09399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-06-30T09:11:28Z","cross_cats_sorted":[],"title_canon_sha256":"64a0bddb289b6235ac12d8e1ec733c910da2ff6d48b98fa4b3dabe1a70f858e0","abstract_canon_sha256":"c390826b04544c8a02be06baf695d2b7b9f6a62594c219bfdf5ade74cde607d1"},"schema_version":"1.0"},"canonical_sha256":"e0f1d2c4db76f8003e92b361913c5219dcc50c94b938663df29efe4ec31a9e5c","source":{"kind":"arxiv","id":"1606.09399","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09399","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09399v1","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09399","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"4DY5FRG3O34A","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4DY5FRG3O34AAPUS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4DY5FRG3","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4DY5FRG3O34AAPUSWNQZCPCSDH","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-06-30T09:11:28Z","cross_cats_sorted":[],"title_canon_sha256":"64a0bddb289b6235ac12d8e1ec733c910da2ff6d48b98fa4b3dabe1a70f858e0","abstract_canon_sha256":"c390826b04544c8a02be06baf695d2b7b9f6a62594c219bfdf5ade74cde607d1"},"schema_version":"1.0"},"canonical_sha256":"e0f1d2c4db76f8003e92b361913c5219dcc50c94b938663df29efe4ec31a9e5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:40.526459Z","signature_b64":"mpHi8Mf9kZA327r2+LxUjc59s954yYzjFaPkqGBhLv8dkVbHUukaTGa0kGUx1LHN2BmQYbyBpMUMDuUwrO59CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0f1d2c4db76f8003e92b361913c5219dcc50c94b938663df29efe4ec31a9e5c","last_reissued_at":"2026-05-18T01:11:40.526019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:40.526019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09399","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":"2026-05-18T01:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dd53RpeqSrsELpl+LTDTvxvfIAIVOfbjxSkTrhvFABOvWNuRTqpiTJOUYFob2mONXsRBKuTmHoIAr8at5SnoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:39:38.803282Z"},"content_sha256":"a584a6e3705d41dba80093f4e6dbb7fe694d1651a384f35c15a124d97efe06ff","schema_version":"1.0","event_id":"sha256:a584a6e3705d41dba80093f4e6dbb7fe694d1651a384f35c15a124d97efe06ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4DY5FRG3O34AAPUSWNQZCPCSDH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coalgebraic Trace Semantics for Buechi and Parity Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Ichiro Hasuo, Natsuki Urabe, Shunsuke Shimizu","submitted_at":"2016-06-30T09:11:28Z","abstract_excerpt":"Despite its success in producing numerous general results on state-based dynamics, the theory of coalgebra has struggled to accommodate the Buechi acceptance condition---a basic notion in the theory of automata for infinite words or trees. In this paper we present a clean answer to the question that builds on the \"maximality\" characterization of infinite traces (by Jacobs and Cirstea): the accepted language of a Buechi automaton is characterized by two commuting diagrams, one for a least homomorphism and the other for a greatest, much like in a system of (least and greatest) fixed-point equati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09399","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":"2026-05-18T01:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKTdxlgdhL84EqEzReHXTviOP6MEQVezh9XBclvuIgHeKSXyk9pWGkHThatrpRNUPr6o7zzRUw1zeYPP8PcUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:39:38.803663Z"},"content_sha256":"623fe74359f33385806e921de658e7e553be47d165774e04e2742e8ff08be81c","schema_version":"1.0","event_id":"sha256:623fe74359f33385806e921de658e7e553be47d165774e04e2742e8ff08be81c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/bundle.json","state_url":"https://pith.science/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/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":"2026-05-31T05:39:38Z","links":{"resolver":"https://pith.science/pith/4DY5FRG3O34AAPUSWNQZCPCSDH","bundle":"https://pith.science/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/bundle.json","state":"https://pith.science/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4DY5FRG3O34AAPUSWNQZCPCSDH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4DY5FRG3O34AAPUSWNQZCPCSDH","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":"c390826b04544c8a02be06baf695d2b7b9f6a62594c219bfdf5ade74cde607d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-06-30T09:11:28Z","title_canon_sha256":"64a0bddb289b6235ac12d8e1ec733c910da2ff6d48b98fa4b3dabe1a70f858e0"},"schema_version":"1.0","source":{"id":"1606.09399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09399","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09399v1","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09399","created_at":"2026-05-18T01:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"4DY5FRG3O34A","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4DY5FRG3O34AAPUS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4DY5FRG3","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:623fe74359f33385806e921de658e7e553be47d165774e04e2742e8ff08be81c","target":"graph","created_at":"2026-05-18T01:11:40Z","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":"Despite its success in producing numerous general results on state-based dynamics, the theory of coalgebra has struggled to accommodate the Buechi acceptance condition---a basic notion in the theory of automata for infinite words or trees. In this paper we present a clean answer to the question that builds on the \"maximality\" characterization of infinite traces (by Jacobs and Cirstea): the accepted language of a Buechi automaton is characterized by two commuting diagrams, one for a least homomorphism and the other for a greatest, much like in a system of (least and greatest) fixed-point equati","authors_text":"Ichiro Hasuo, Natsuki Urabe, Shunsuke Shimizu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-06-30T09:11:28Z","title":"Coalgebraic Trace Semantics for Buechi and Parity Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09399","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:a584a6e3705d41dba80093f4e6dbb7fe694d1651a384f35c15a124d97efe06ff","target":"record","created_at":"2026-05-18T01:11:40Z","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":"c390826b04544c8a02be06baf695d2b7b9f6a62594c219bfdf5ade74cde607d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-06-30T09:11:28Z","title_canon_sha256":"64a0bddb289b6235ac12d8e1ec733c910da2ff6d48b98fa4b3dabe1a70f858e0"},"schema_version":"1.0","source":{"id":"1606.09399","kind":"arxiv","version":1}},"canonical_sha256":"e0f1d2c4db76f8003e92b361913c5219dcc50c94b938663df29efe4ec31a9e5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0f1d2c4db76f8003e92b361913c5219dcc50c94b938663df29efe4ec31a9e5c","first_computed_at":"2026-05-18T01:11:40.526019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:40.526019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mpHi8Mf9kZA327r2+LxUjc59s954yYzjFaPkqGBhLv8dkVbHUukaTGa0kGUx1LHN2BmQYbyBpMUMDuUwrO59CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:40.526459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a584a6e3705d41dba80093f4e6dbb7fe694d1651a384f35c15a124d97efe06ff","sha256:623fe74359f33385806e921de658e7e553be47d165774e04e2742e8ff08be81c"],"state_sha256":"77ca44d1ba6edfb9f0afb73c9c610f9aa60469ceddf437f14a0c18ac148ab55e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9h9cyb2UOKwBVHKFT2Ag5J1dl6/ysQKvAUrA6V7dbABTxy7OGIkWu1lZ32W8zEmf+Hm/ZPFgla4asKCRi6yCCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:39:38.805619Z","bundle_sha256":"9cc3df4ca4ff247e9a7555c86ee37a50d32d8a1d21116ca3f2769a6f9b6cd061"}}