{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:PPAQ4QLDI6PMALD5XBLHQHYAYY","short_pith_number":"pith:PPAQ4QLD","canonical_record":{"source":{"id":"1907.09634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-07-22T23:48:19Z","cross_cats_sorted":[],"title_canon_sha256":"6c0b25977ecb95bc649b6861e66a53f48060e41df54fb64389e0125428ab3323","abstract_canon_sha256":"8095a78befb849dc55ef75f2ea5f688d650e254da25212d7a9cae49008529002"},"schema_version":"1.0"},"canonical_sha256":"7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21","source":{"kind":"arxiv","id":"1907.09634","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.09634","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"1907.09634v1","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09634","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"PPAQ4QLDI6PM","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PPAQ4QLDI6PMALD5","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PPAQ4QLD","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:PPAQ4QLDI6PMALD5XBLHQHYAYY","target":"record","payload":{"canonical_record":{"source":{"id":"1907.09634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-07-22T23:48:19Z","cross_cats_sorted":[],"title_canon_sha256":"6c0b25977ecb95bc649b6861e66a53f48060e41df54fb64389e0125428ab3323","abstract_canon_sha256":"8095a78befb849dc55ef75f2ea5f688d650e254da25212d7a9cae49008529002"},"schema_version":"1.0"},"canonical_sha256":"7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:50.553327Z","signature_b64":"tqkDV8A0czSpcGLT4MeHZ98w4wuDah3J9j0LgtzxQnvt4/Ejp343tkEW5jf6ThkcUJ/k6raqhEHq3HcG1gVbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21","last_reissued_at":"2026-05-17T23:39:50.552814Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:50.552814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.09634","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":"2026-05-17T23:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+gxGTGKpoguQfIsnpOpQKrOgBTD4OSbsMAoRaMREtZC6tFiIK0DVWvkz07GKR/MrOlZ+b/iACRKCvF/qCEZnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:40:59.909055Z"},"content_sha256":"5b2d2abea8d67f5a547f5b40d0b93ab9e4ba60f5d81ea4a812a82aa0258d8374","schema_version":"1.0","event_id":"sha256:5b2d2abea8d67f5a547f5b40d0b93ab9e4ba60f5d81ea4a812a82aa0258d8374"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:PPAQ4QLDI6PMALD5XBLHQHYAYY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Codensity Games for Bisimilarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Bartek Klin, Ichiro Hasuo, Nick Hu, Shin-ya Katsumata, Yuichi Komorida","submitted_at":"2019-07-22T23:48:19Z","abstract_excerpt":"Bisimilarity as an equivalence notion of systems has been central to process theory. Due to the recent rise of interest in quantitative systems (probabilistic, weighted, hybrid, etc.), bisimilarity has been extended in various ways: notably, bisimulation metric between probabilistic systems. An important feature of bisimilarity is its game-theoretic characterization, where Spoiler and Duplicator play against each other; extension of bisimilarity games to quantitative settings has been actively pursued too. In this paper, we present a general framework that uniformly describes game characteriza"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09634","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":"2026-05-17T23:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lgQbHfAndTfYBbq6gP/UbFyuLnJO1RsUUN7qKLAGEXl1HwS1o0RvAMLUskb9ImFf/EIbdI2GdIlWTKA9vyBfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:40:59.910057Z"},"content_sha256":"a31e31859a1ca88fb05f319b2646746c97cf63ddab4004442995e3f23fc6e93a","schema_version":"1.0","event_id":"sha256:a31e31859a1ca88fb05f319b2646746c97cf63ddab4004442995e3f23fc6e93a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/bundle.json","state_url":"https://pith.science/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/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":"2026-05-31T12:40:59Z","links":{"resolver":"https://pith.science/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY","bundle":"https://pith.science/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/bundle.json","state":"https://pith.science/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PPAQ4QLDI6PMALD5XBLHQHYAYY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PPAQ4QLDI6PMALD5XBLHQHYAYY","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":"8095a78befb849dc55ef75f2ea5f688d650e254da25212d7a9cae49008529002","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-07-22T23:48:19Z","title_canon_sha256":"6c0b25977ecb95bc649b6861e66a53f48060e41df54fb64389e0125428ab3323"},"schema_version":"1.0","source":{"id":"1907.09634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.09634","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"1907.09634v1","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09634","created_at":"2026-05-17T23:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"PPAQ4QLDI6PM","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PPAQ4QLDI6PMALD5","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PPAQ4QLD","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:a31e31859a1ca88fb05f319b2646746c97cf63ddab4004442995e3f23fc6e93a","target":"graph","created_at":"2026-05-17T23:39:50Z","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":"Bisimilarity as an equivalence notion of systems has been central to process theory. Due to the recent rise of interest in quantitative systems (probabilistic, weighted, hybrid, etc.), bisimilarity has been extended in various ways: notably, bisimulation metric between probabilistic systems. An important feature of bisimilarity is its game-theoretic characterization, where Spoiler and Duplicator play against each other; extension of bisimilarity games to quantitative settings has been actively pursued too. In this paper, we present a general framework that uniformly describes game characteriza","authors_text":"Bartek Klin, Ichiro Hasuo, Nick Hu, Shin-ya Katsumata, Yuichi Komorida","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-07-22T23:48:19Z","title":"Codensity Games for Bisimilarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09634","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":"sha256:5b2d2abea8d67f5a547f5b40d0b93ab9e4ba60f5d81ea4a812a82aa0258d8374","target":"record","created_at":"2026-05-17T23:39:50Z","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":"8095a78befb849dc55ef75f2ea5f688d650e254da25212d7a9cae49008529002","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-07-22T23:48:19Z","title_canon_sha256":"6c0b25977ecb95bc649b6861e66a53f48060e41df54fb64389e0125428ab3323"},"schema_version":"1.0","source":{"id":"1907.09634","kind":"arxiv","version":1}},"canonical_sha256":"7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21","first_computed_at":"2026-05-17T23:39:50.552814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:50.552814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tqkDV8A0czSpcGLT4MeHZ98w4wuDah3J9j0LgtzxQnvt4/Ejp343tkEW5jf6ThkcUJ/k6raqhEHq3HcG1gVbAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:50.553327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.09634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b2d2abea8d67f5a547f5b40d0b93ab9e4ba60f5d81ea4a812a82aa0258d8374","sha256:a31e31859a1ca88fb05f319b2646746c97cf63ddab4004442995e3f23fc6e93a"],"state_sha256":"a5afa2d68aa4316d27f45d501333989d539a6c047d93db0c72b2efdeccd81bb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A06guJfyoIy1NZXWsSufuXzvLpitpm5JGKv6cbWLtbWJFZC7e5CDnuaR0ZkPxxHylN5UPJ3/m2RJI6QfDfzHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:40:59.916444Z","bundle_sha256":"99c3fd32566f94d6db5423d7071788ac311730dc3add6e132dff6da51da03ed7"}}