{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HISGKBSTEQMTFCZ2A3XLD5LUOU","short_pith_number":"pith:HISGKBST","canonical_record":{"source":{"id":"2605.31269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-05-29T13:01:50Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"d3cf1ce898f9358573a378911515279b89920ad0523a87264ef0972975b7972d","abstract_canon_sha256":"6009ca6a1e7fccc8b764d0bb98a07025d0073c9a51dfcb2b552d07fe66f252c7"},"schema_version":"1.0"},"canonical_sha256":"3a246506532419328b3a06eeb1f5747539073cedbb32417d331230e4a7d3c243","source":{"kind":"arxiv","id":"2605.31269","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31269","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31269v1","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31269","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"HISGKBSTEQMT","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"HISGKBSTEQMTFCZ2","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"HISGKBST","created_at":"2026-06-01T01:04:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HISGKBSTEQMTFCZ2A3XLD5LUOU","target":"record","payload":{"canonical_record":{"source":{"id":"2605.31269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-05-29T13:01:50Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"d3cf1ce898f9358573a378911515279b89920ad0523a87264ef0972975b7972d","abstract_canon_sha256":"6009ca6a1e7fccc8b764d0bb98a07025d0073c9a51dfcb2b552d07fe66f252c7"},"schema_version":"1.0"},"canonical_sha256":"3a246506532419328b3a06eeb1f5747539073cedbb32417d331230e4a7d3c243","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:04:07.947965Z","signature_b64":"/zFlx6Rk2UaXc4dawKFsanOUN73gvhvfBa/ommf15LAS51Vp1WGb3nRA0t9SYiBdWbMsQXIXn6zub+08BWkmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a246506532419328b3a06eeb1f5747539073cedbb32417d331230e4a7d3c243","last_reissued_at":"2026-06-01T01:04:07.947228Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:04:07.947228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.31269","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":"2026-06-01T01:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJclHd4/Y5wvPUMR+jvvzdKMmipJZVASQI8hDb2ZLQgeaeUP3VfqSIdNNVYENkh48STCw9ugtdeZN6B/Xd2VBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T22:46:43.821452Z"},"content_sha256":"43ceffbee9da171e9bddc69e64393088671651b6d661aa436c54864d1c7f4bc9","schema_version":"1.0","event_id":"sha256:43ceffbee9da171e9bddc69e64393088671651b6d661aa436c54864d1c7f4bc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HISGKBSTEQMTFCZ2A3XLD5LUOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of Coherence in Dependence Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.LO","authors_text":"Arne Meier, Jouko V\\\"a\\\"an\\\"anen, Juha Kontinen, Miika Hannula, Nicolas Fr\\\"ohlich, Phokion G. Kolaitis, Timon Barlag","submitted_at":"2026-05-29T13:01:50Z","abstract_excerpt":"Dependence logic extends first-order logic with dependence atoms asserting that the value of a variable is determined by the values of certain other variables. The semantics of dependence logic has a second-order character and involves sets of assignments, called teams, instead of individual assignments as in the classical Tarski semantics. Since the model-checking problem is known to be NP-complete even for quantifier-free dependence logic (DQF) formulas, researchers have pursued conditions on formulas that make this problem tractable. In 2010, Jarmo Kontinen introduced the notion of k-cohere"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31269","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.31269/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-01T01:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DpXje4rNTU6vDghmY76ArrQl5ufXw6NXtUh10sIQa6ArpC0d4kB+MLhRNCRSm6U7H/MmNs7/UsykJUxV7iG7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T22:46:43.822253Z"},"content_sha256":"59fce32a90582e733f5d187d8e5d73a241e97d3ead4748c73fc6908d3d552d76","schema_version":"1.0","event_id":"sha256:59fce32a90582e733f5d187d8e5d73a241e97d3ead4748c73fc6908d3d552d76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/bundle.json","state_url":"https://pith.science/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/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":"2026-06-09T22:46:43Z","links":{"resolver":"https://pith.science/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU","bundle":"https://pith.science/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/bundle.json","state":"https://pith.science/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HISGKBSTEQMTFCZ2A3XLD5LUOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HISGKBSTEQMTFCZ2A3XLD5LUOU","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":"6009ca6a1e7fccc8b764d0bb98a07025d0073c9a51dfcb2b552d07fe66f252c7","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-05-29T13:01:50Z","title_canon_sha256":"d3cf1ce898f9358573a378911515279b89920ad0523a87264ef0972975b7972d"},"schema_version":"1.0","source":{"id":"2605.31269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31269","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31269v1","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31269","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"HISGKBSTEQMT","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"HISGKBSTEQMTFCZ2","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"HISGKBST","created_at":"2026-06-01T01:04:07Z"}],"graph_snapshots":[{"event_id":"sha256:59fce32a90582e733f5d187d8e5d73a241e97d3ead4748c73fc6908d3d552d76","target":"graph","created_at":"2026-06-01T01:04:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.31269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dependence logic extends first-order logic with dependence atoms asserting that the value of a variable is determined by the values of certain other variables. The semantics of dependence logic has a second-order character and involves sets of assignments, called teams, instead of individual assignments as in the classical Tarski semantics. Since the model-checking problem is known to be NP-complete even for quantifier-free dependence logic (DQF) formulas, researchers have pursued conditions on formulas that make this problem tractable. In 2010, Jarmo Kontinen introduced the notion of k-cohere","authors_text":"Arne Meier, Jouko V\\\"a\\\"an\\\"anen, Juha Kontinen, Miika Hannula, Nicolas Fr\\\"ohlich, Phokion G. Kolaitis, Timon Barlag","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-05-29T13:01:50Z","title":"Aspects of Coherence in Dependence Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31269","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":"sha256:43ceffbee9da171e9bddc69e64393088671651b6d661aa436c54864d1c7f4bc9","target":"record","created_at":"2026-06-01T01:04:07Z","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":"6009ca6a1e7fccc8b764d0bb98a07025d0073c9a51dfcb2b552d07fe66f252c7","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-05-29T13:01:50Z","title_canon_sha256":"d3cf1ce898f9358573a378911515279b89920ad0523a87264ef0972975b7972d"},"schema_version":"1.0","source":{"id":"2605.31269","kind":"arxiv","version":1}},"canonical_sha256":"3a246506532419328b3a06eeb1f5747539073cedbb32417d331230e4a7d3c243","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a246506532419328b3a06eeb1f5747539073cedbb32417d331230e4a7d3c243","first_computed_at":"2026-06-01T01:04:07.947228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:04:07.947228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/zFlx6Rk2UaXc4dawKFsanOUN73gvhvfBa/ommf15LAS51Vp1WGb3nRA0t9SYiBdWbMsQXIXn6zub+08BWkmBQ==","signature_status":"signed_v1","signed_at":"2026-06-01T01:04:07.947965Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43ceffbee9da171e9bddc69e64393088671651b6d661aa436c54864d1c7f4bc9","sha256:59fce32a90582e733f5d187d8e5d73a241e97d3ead4748c73fc6908d3d552d76"],"state_sha256":"89a6d86641a4cbee74d2467bf6d81134e1562d2ab9e613a4ec0979842dfa58df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NSXVPiK7YeLcqwtuc2lqvSgkRwFgIDA0zRME4P7Wj6g2M7yJN6QXiU4mm+bBPp4e2Qor/VtOAujW3tgGrP4TAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T22:46:43.826423Z","bundle_sha256":"8fa5d3ade55dee1bc5e504b72caf4552de49278d7ce3dcd550b278115f45e25c"}}