{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IEUZQFNYOMDOISGKB7QRRM4YMQ","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":"fa795b66f3263d4f45daf8bac92bcf60db4fa42b51d37b6b76cd86558034b14f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-09-13T17:27:20Z","title_canon_sha256":"828b2509b2a5350076427aa859b2aa569d837deb3a28e80f8e02233b046750c7"},"schema_version":"1.0","source":{"id":"quant-ph/0609102","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0609102","created_at":"2026-07-04T15:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0609102v3","created_at":"2026-07-04T15:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0609102","created_at":"2026-07-04T15:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"IEUZQFNYOMDO","created_at":"2026-07-04T15:02:41Z"},{"alias_kind":"pith_short_16","alias_value":"IEUZQFNYOMDOISGK","created_at":"2026-07-04T15:02:41Z"},{"alias_kind":"pith_short_8","alias_value":"IEUZQFNY","created_at":"2026-07-04T15:02:41Z"}],"graph_snapshots":[{"event_id":"sha256:295eaf61aeec93cf3a93528b5b1706ed74f740d41f6781a850e1ddf0c09257ce","target":"graph","created_at":"2026-07-04T15:02:41Z","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/quant-ph/0609102/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement measures that we consider are continuous, `distance from separable states' measures, including the relative entropy, the so-called geometric measure, and robustness of entanglement. We also show that for our class of graph states these entanglement values give an operational interpretation as the maximal number of graph states distinguishable by local operations","authors_text":"Akimasa Miyake, Damian Markham, Shashank Virmani","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-09-13T17:27:20Z","title":"Entanglement and local information access for graph states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0609102","kind":"arxiv","version":3},"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:b9190da0aba7a72389f595dc53db8242b947dbc0a805b9ca662e1f0d81c5cc40","target":"record","created_at":"2026-07-04T15:02:41Z","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":"fa795b66f3263d4f45daf8bac92bcf60db4fa42b51d37b6b76cd86558034b14f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-09-13T17:27:20Z","title_canon_sha256":"828b2509b2a5350076427aa859b2aa569d837deb3a28e80f8e02233b046750c7"},"schema_version":"1.0","source":{"id":"quant-ph/0609102","kind":"arxiv","version":3}},"canonical_sha256":"41299815b87306e448ca0fe118b398640c31e3185973fa1424afc0af15343682","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41299815b87306e448ca0fe118b398640c31e3185973fa1424afc0af15343682","first_computed_at":"2026-07-04T15:02:41.987154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:02:41.987154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4lGe1ZA9FrKMihRfs6YTAxPRumw+RVpP5VOakONgsEmM4FmJjYZxBKETYj5cfG/iuVjgwfndeR0v5zjNjRwaAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:02:41.987555Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0609102","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9190da0aba7a72389f595dc53db8242b947dbc0a805b9ca662e1f0d81c5cc40","sha256:295eaf61aeec93cf3a93528b5b1706ed74f740d41f6781a850e1ddf0c09257ce"],"state_sha256":"3ab548aeaa6a462de38f3b5d3fa04198e57755a397dc20c3aecc927ec3f47f78"}