{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5F6JESHEQPEM2GRSIGGK65USOE","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":"2ffa40f2a176eab460857129230a903b339919e736cd4e5eb6618be6970c3ab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T01:11:15Z","title_canon_sha256":"891757bfca433a3feb82d571ba65863fde5a20250b91d828334f3793c9a5386d"},"schema_version":"1.0","source":{"id":"1803.04079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04079","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04079v1","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04079","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"5F6JESHEQPEM","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5F6JESHEQPEM2GRS","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5F6JESHE","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:8ad7c5131dd89cae4f897fbd99aa138007e0200e1bad51c0319ce5e428430511","target":"graph","created_at":"2026-05-18T00:04:59Z","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":"Wave-particle duality relations express the fact that knowledge about the path a particle took suppresses information about its wave-like properties, in particular, its ability to generate an interference pattern. Recently, duality relations in which the wave-like properties are quantified by using measures of quantum coherence have been proposed. Quantum coherence can be generalized to a property called group asymmetry. Here we derive a generalized duality relation involving group asymmetry, which is closely related to the success probability of discriminating between the actions of the eleme","authors_text":"Emilio Bagan, Janos A. Bergou, John Calsamiglia, Mark Hillery","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T01:11:15Z","title":"A generalized wave-particle duality relation for finite groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04079","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":"sha256:8bbcff624fa78084c0fd3768e74b08a0a553c3783ae6374c99ff75ef6a460096","target":"record","created_at":"2026-05-18T00:04:59Z","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":"2ffa40f2a176eab460857129230a903b339919e736cd4e5eb6618be6970c3ab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T01:11:15Z","title_canon_sha256":"891757bfca433a3feb82d571ba65863fde5a20250b91d828334f3793c9a5386d"},"schema_version":"1.0","source":{"id":"1803.04079","kind":"arxiv","version":1}},"canonical_sha256":"e97c9248e483c8cd1a32418caf76927134616b9ecd28afa0a9590fd01c35e128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e97c9248e483c8cd1a32418caf76927134616b9ecd28afa0a9590fd01c35e128","first_computed_at":"2026-05-18T00:04:59.260337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:59.260337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tms3UIsx001nRoR9ToZ+e/w/wxggR4EmNKRVFCPEk6VhHs6Pp8W4+/EMHBo0Q1N4MDengv/LAgoSOzDjJkELBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:59.260788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bbcff624fa78084c0fd3768e74b08a0a553c3783ae6374c99ff75ef6a460096","sha256:8ad7c5131dd89cae4f897fbd99aa138007e0200e1bad51c0319ce5e428430511"],"state_sha256":"3446036c527605e14c63062fdbdd62babe8a7a703897fc18646a68fd66c388a6"}