{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LWQLP4IL3UWUBC7LYJLINQRD3T","short_pith_number":"pith:LWQLP4IL","canonical_record":{"source":{"id":"1604.07530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-26T05:50:34Z","cross_cats_sorted":[],"title_canon_sha256":"5e640a3bb223b4632471d57a5f181b18d42794eaec0325fc8f8b781304235d5c","abstract_canon_sha256":"5e4bdede94aa283927d11c5779d840d5118f8ca70cf62583cfeaed1cc37ea6ec"},"schema_version":"1.0"},"canonical_sha256":"5da0b7f10bdd2d408bebc25686c223dceaa530aa8da17b039872c7e518190302","source":{"kind":"arxiv","id":"1604.07530","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07530","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07530v2","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07530","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"LWQLP4IL3UWU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LWQLP4IL3UWUBC7L","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LWQLP4IL","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LWQLP4IL3UWUBC7LYJLINQRD3T","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-26T05:50:34Z","cross_cats_sorted":[],"title_canon_sha256":"5e640a3bb223b4632471d57a5f181b18d42794eaec0325fc8f8b781304235d5c","abstract_canon_sha256":"5e4bdede94aa283927d11c5779d840d5118f8ca70cf62583cfeaed1cc37ea6ec"},"schema_version":"1.0"},"canonical_sha256":"5da0b7f10bdd2d408bebc25686c223dceaa530aa8da17b039872c7e518190302","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:30.713898Z","signature_b64":"sPvGbhv9ntu7dBznzuLhlH+PLtJKaPXQnTZauafy/gPN19d33qP0mx273IHfbosbEtFA9Y0EjMRuzKiFPySIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da0b7f10bdd2d408bebc25686c223dceaa530aa8da17b039872c7e518190302","last_reissued_at":"2026-05-18T00:27:30.713178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:30.713178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07530","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":"2026-05-18T00:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jGu+v9ZbBtsmRupRppxClAskRr2T8jF6Nl/w/7afBYPwNVdquMwjhdlOHyOEU5l+8QneS/Pmrnn12/6eBlvVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:39:50.342028Z"},"content_sha256":"317308e9b4f054ce6e484fbdf74c038cdc79a05c466d5a9c71bf84392470b3fd","schema_version":"1.0","event_id":"sha256:317308e9b4f054ce6e484fbdf74c038cdc79a05c466d5a9c71bf84392470b3fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LWQLP4IL3UWUBC7LYJLINQRD3T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Divide and Congruence II: From Decomposition of Modal Formulas to Preservation of Delay and Weak Bisimilarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Rob van Glabbeek, Wan Fokkink","submitted_at":"2016-04-26T05:50:34Z","abstract_excerpt":"Earlier we presented a method to decompose modal formulas for processes with the internal action $\\tau$, and congruence formats for branching and $\\eta$-bisimilarity were derived on the basis of this decomposition method. The idea is that a congruence format for a semantics must ensure that the formulas in the modal characterisation of this semantics are always decomposed into formulas that are again in this modal characterisation. In this follow-up paper the decomposition method is enhanced to deal with modal characterisations that contain a modality $\\langle\\epsilon\\rangle\\langle a\\rangle\\ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07530","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":"2026-05-18T00:27:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P7im3VtZ6aJRr0l3RlpuFIz7lK/7U4gBwLPpcZCrMF6A2hk2gMamQ4H+S/DCRuDZFTyD40mGjiRn7x7ImOf5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:39:50.342438Z"},"content_sha256":"8a0f5b6387d54dcf90a38d2ca4c45b69e3922465758d370acb171edcff78c442","schema_version":"1.0","event_id":"sha256:8a0f5b6387d54dcf90a38d2ca4c45b69e3922465758d370acb171edcff78c442"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/bundle.json","state_url":"https://pith.science/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/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":"2026-05-27T22:39:50Z","links":{"resolver":"https://pith.science/pith/LWQLP4IL3UWUBC7LYJLINQRD3T","bundle":"https://pith.science/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/bundle.json","state":"https://pith.science/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWQLP4IL3UWUBC7LYJLINQRD3T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LWQLP4IL3UWUBC7LYJLINQRD3T","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":"5e4bdede94aa283927d11c5779d840d5118f8ca70cf62583cfeaed1cc37ea6ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-26T05:50:34Z","title_canon_sha256":"5e640a3bb223b4632471d57a5f181b18d42794eaec0325fc8f8b781304235d5c"},"schema_version":"1.0","source":{"id":"1604.07530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07530","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07530v2","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07530","created_at":"2026-05-18T00:27:30Z"},{"alias_kind":"pith_short_12","alias_value":"LWQLP4IL3UWU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LWQLP4IL3UWUBC7L","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LWQLP4IL","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:8a0f5b6387d54dcf90a38d2ca4c45b69e3922465758d370acb171edcff78c442","target":"graph","created_at":"2026-05-18T00:27:30Z","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":"Earlier we presented a method to decompose modal formulas for processes with the internal action $\\tau$, and congruence formats for branching and $\\eta$-bisimilarity were derived on the basis of this decomposition method. The idea is that a congruence format for a semantics must ensure that the formulas in the modal characterisation of this semantics are always decomposed into formulas that are again in this modal characterisation. In this follow-up paper the decomposition method is enhanced to deal with modal characterisations that contain a modality $\\langle\\epsilon\\rangle\\langle a\\rangle\\ph","authors_text":"Rob van Glabbeek, Wan Fokkink","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-26T05:50:34Z","title":"Divide and Congruence II: From Decomposition of Modal Formulas to Preservation of Delay and Weak Bisimilarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07530","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":"sha256:317308e9b4f054ce6e484fbdf74c038cdc79a05c466d5a9c71bf84392470b3fd","target":"record","created_at":"2026-05-18T00:27:30Z","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":"5e4bdede94aa283927d11c5779d840d5118f8ca70cf62583cfeaed1cc37ea6ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-26T05:50:34Z","title_canon_sha256":"5e640a3bb223b4632471d57a5f181b18d42794eaec0325fc8f8b781304235d5c"},"schema_version":"1.0","source":{"id":"1604.07530","kind":"arxiv","version":2}},"canonical_sha256":"5da0b7f10bdd2d408bebc25686c223dceaa530aa8da17b039872c7e518190302","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5da0b7f10bdd2d408bebc25686c223dceaa530aa8da17b039872c7e518190302","first_computed_at":"2026-05-18T00:27:30.713178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:30.713178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sPvGbhv9ntu7dBznzuLhlH+PLtJKaPXQnTZauafy/gPN19d33qP0mx273IHfbosbEtFA9Y0EjMRuzKiFPySIAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:30.713898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:317308e9b4f054ce6e484fbdf74c038cdc79a05c466d5a9c71bf84392470b3fd","sha256:8a0f5b6387d54dcf90a38d2ca4c45b69e3922465758d370acb171edcff78c442"],"state_sha256":"639dff6eb1c4a568fabc018372b8fd61c5deeb2813c95e42ab68ce5cedd3050c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8j8Glw3eRR2YbKFDv99rYRRZ+kHfiVDqJh6wAYqiQ5yHaDAHECk3wHvP64zwErckMF67liDJDNGGTwMNbemjBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:39:50.344692Z","bundle_sha256":"378856a3f2df17d72af25a80423e0736400874a647c6688c13113f66fa177f6c"}}