{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:27K6BFWTHA6JKQLAVAA2OZGWFV","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":"fbba1b20e49f7cf342927f93db25eef9e3fa68043e124a9863551fa3ebc01c9d","cross_cats_sorted":["cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-27T09:49:57Z","title_canon_sha256":"f0ebd1a0c3799348cf1bd137eecfdf702a643e7c1cbe97dd6c2a9d7ecd573946"},"schema_version":"1.0","source":{"id":"2511.22271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.22271","created_at":"2026-07-23T00:23:36Z"},{"alias_kind":"arxiv_version","alias_value":"2511.22271v2","created_at":"2026-07-23T00:23:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.22271","created_at":"2026-07-23T00:23:36Z"},{"alias_kind":"pith_short_12","alias_value":"27K6BFWTHA6J","created_at":"2026-07-23T00:23:36Z"},{"alias_kind":"pith_short_16","alias_value":"27K6BFWTHA6JKQLA","created_at":"2026-07-23T00:23:36Z"},{"alias_kind":"pith_short_8","alias_value":"27K6BFWT","created_at":"2026-07-23T00:23:36Z"}],"graph_snapshots":[{"event_id":"sha256:6a7a3204c7e498778663fc763a3057640521d4839a1ae0ca211493f2cbbde724","target":"graph","created_at":"2026-07-23T00:23:36Z","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/2511.22271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Graph states form a large family of quantum states that are in one-to-one correspondence with mathematical graphs. Graph states are used in many applications, such as measurement-based quantum computation, as multipartite entangled resources. It is thus crucial to understand when two such states have the same entanglement, i.e. when they can be transformed into each other using only local operations. In this case, we say that the graph states are LU-equivalent (local unitary). If the local operations are restricted to the so-called Clifford group, we say that the graph states are LC-equivalent","authors_text":"Nathan Claudet","cross_cats":["cs.DM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-27T09:49:57Z","title":"Local Equivalences of Graph States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.22271","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":"sha256:4d88266affccdf5468954dbda0b29d5f65a4b8e8b59afb098034835683f3b34b","target":"record","created_at":"2026-07-23T00:23:36Z","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":"fbba1b20e49f7cf342927f93db25eef9e3fa68043e124a9863551fa3ebc01c9d","cross_cats_sorted":["cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-27T09:49:57Z","title_canon_sha256":"f0ebd1a0c3799348cf1bd137eecfdf702a643e7c1cbe97dd6c2a9d7ecd573946"},"schema_version":"1.0","source":{"id":"2511.22271","kind":"arxiv","version":2}},"canonical_sha256":"d7d5e096d3383c954160a801a764d62d6bfc534a5f120ce69788bcc32e3fe520","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7d5e096d3383c954160a801a764d62d6bfc534a5f120ce69788bcc32e3fe520","first_computed_at":"2026-07-23T00:23:36.926147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T00:23:36.926147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"21dDTq/HbFm7loTjOY+xgB+eE8RZzdURvI01laxc0FqTGAP7gSe5KnpZ1iwEmciI08yUqmTXuas+B9JhVEJjCg==","signature_status":"signed_v1","signed_at":"2026-07-23T00:23:36.927145Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.22271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d88266affccdf5468954dbda0b29d5f65a4b8e8b59afb098034835683f3b34b","sha256:6a7a3204c7e498778663fc763a3057640521d4839a1ae0ca211493f2cbbde724"],"state_sha256":"4e267ec8b321feea65e06d41524a1437b8f890d59b747a8d925d45572f5cbeb9"}