{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:T22DY7LHJWM3ICPKZORXQSAJ52","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":"e3fc54b19f456f76deed00685b6abe7adda44f3e77ce688c8c68555a560fee3d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T18:40:40Z","title_canon_sha256":"b2ca353172f3e107932522b181231834fbbe44b4e4a6558b8ee20227e057f5d1"},"schema_version":"1.0","source":{"id":"2607.24988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24988","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24988v1","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24988","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"T22DY7LHJWM3","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_16","alias_value":"T22DY7LHJWM3ICPK","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_8","alias_value":"T22DY7LH","created_at":"2026-07-29T00:24:56Z"}],"graph_snapshots":[{"event_id":"sha256:0758c028f3fc1963a81055223a4b86835023524648a19fe1992129d88caabfba","target":"graph","created_at":"2026-07-29T00:24:56Z","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/2607.24988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Observables in quantum mechanics are generally complementary, that is, they reveal mutually incompatible pieces of information about a given system. This property is not only a fundamental tenet of the quantum formalism, but also a key component in quantum cryptographic protocols. As such it has fuelled much research into finding sets of highly complementary observables. In its strongest form -- the one we consider in this work -- the information between complementary observables is not merely incompatible but mutually exclusive: maximal information about one observable implies no information ","authors_text":"Christopher S.P. Wever, Giovanni Natale, Markus Frembs, Philipp A. Hoehn","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T18:40:40Z","title":"Maximal complementarity in the n-qubit Pauli group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24988","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":"sha256:3a61d4a7b134bd4aabdd7e886d15db9bfbdde3e446bf3aaf5d2bbf34b8ee5510","target":"record","created_at":"2026-07-29T00:24:56Z","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":"e3fc54b19f456f76deed00685b6abe7adda44f3e77ce688c8c68555a560fee3d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T18:40:40Z","title_canon_sha256":"b2ca353172f3e107932522b181231834fbbe44b4e4a6558b8ee20227e057f5d1"},"schema_version":"1.0","source":{"id":"2607.24988","kind":"arxiv","version":1}},"canonical_sha256":"9eb43c7d674d99b409eacba3784809ee8e7a798b2c2c2d3b04a3c515f5ba0160","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9eb43c7d674d99b409eacba3784809ee8e7a798b2c2c2d3b04a3c515f5ba0160","first_computed_at":"2026-07-29T00:24:56.600194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T00:24:56.600194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0EGM4/Fmw9KnG1thfNQHE8bSbqBPmzar7HIuDkzOwdGyPnbRoJP9Dn3SA8lMSDmgOqAAPfbjTfIUNkRAJIJ6Dw==","signature_status":"signed_v1","signed_at":"2026-07-29T00:24:56.601095Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a61d4a7b134bd4aabdd7e886d15db9bfbdde3e446bf3aaf5d2bbf34b8ee5510","sha256:0758c028f3fc1963a81055223a4b86835023524648a19fe1992129d88caabfba"],"state_sha256":"61db7c183fc2e520b0e0f50eedb9a3ab0e3814cda308d4ffe3664fb8d416a416"}