{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VR5OJSBJIYFLAT3OLRAYGCGXZ5","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":"503f52d86d7d0712e931d827d27dee6fd466b5407b12121da6a5f6130601141d","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-04-04T09:34:27Z","title_canon_sha256":"4f211132330558f55145d59fcae2ea310f6f889fb76844dd06fff602f241b025"},"schema_version":"1.0","source":{"id":"1404.7809","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7809","created_at":"2026-05-18T02:46:30Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7809v2","created_at":"2026-05-18T02:46:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7809","created_at":"2026-05-18T02:46:30Z"},{"alias_kind":"pith_short_12","alias_value":"VR5OJSBJIYFL","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VR5OJSBJIYFLAT3O","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VR5OJSBJ","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:0d175f96a8c68868806dd83404d0c90dcaae229ee4a0fc6157f36cf5286f0abe","target":"graph","created_at":"2026-05-18T02:46:30Z","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":"We present the detailed account of the quantum(-like) viewpoint to common knowledge. The Binmore-Brandenburger operator approach to the notion of common knowledge is extended to the quantum case. We develop a special quantum(-like) model of common knowledge based on information representations of agents which can be operationally represented by Hermitian operators. For simplicity, we assume that each agent constructs her/his information representation by using just one operator. However, different agents use in general representations based on noncommuting operators, i.e., incompatible represe","authors_text":"Andrei Khrennikov, Irina Basieva","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-04-04T09:34:27Z","title":"Quantum(-like) common knowledge: Binmore-Brandenburger operator approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7809","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":"sha256:5bfb174347defb8409313634c44d53f1930479b5ec747b488907a3f91ab48818","target":"record","created_at":"2026-05-18T02:46:30Z","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":"503f52d86d7d0712e931d827d27dee6fd466b5407b12121da6a5f6130601141d","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-04-04T09:34:27Z","title_canon_sha256":"4f211132330558f55145d59fcae2ea310f6f889fb76844dd06fff602f241b025"},"schema_version":"1.0","source":{"id":"1404.7809","kind":"arxiv","version":2}},"canonical_sha256":"ac7ae4c829460ab04f6e5c418308d7cf680664acb470cd66ba7884cbb82946c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac7ae4c829460ab04f6e5c418308d7cf680664acb470cd66ba7884cbb82946c4","first_computed_at":"2026-05-18T02:46:30.659136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:30.659136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6TLN4S7qSPEx6x3j3S3/r2WT1IPYMp1qEHdbpIkf0F3K925osenuJlFWwBd55jkO9qqStAapseN6Utt1887MBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:30.659561Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7809","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bfb174347defb8409313634c44d53f1930479b5ec747b488907a3f91ab48818","sha256:0d175f96a8c68868806dd83404d0c90dcaae229ee4a0fc6157f36cf5286f0abe"],"state_sha256":"88b190e52cea095468e44a354e5212b0c00285fb195e062993aa0472cc761aca"}