{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HZFMQTI4FRUXDFGUITHEDBE5CV","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":"23f402d87bb5285f02b39a2883189ae9c5964b9f8a13f3c9ebc2baaa45f637f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-05-16T08:20:02Z","title_canon_sha256":"a79e740a1ca40370ed1eb9950d171eccd08fd576feffcb66faae2750dc9b44bd"},"schema_version":"1.0","source":{"id":"1205.3591","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3591","created_at":"2026-05-18T03:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3591v1","created_at":"2026-05-18T03:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3591","created_at":"2026-05-18T03:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"HZFMQTI4FRUX","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HZFMQTI4FRUXDFGU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HZFMQTI4","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:1b823f52242884d0b33400f9abd6ec7cdeee61170f7a4ccae861e2a06ec602e2","target":"graph","created_at":"2026-05-18T03:55:34Z","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":"Using the group-theoretical point of view we study in this paper second and third order repetitive achromats with a mirror symmetric or mirror antisymmetric basic cell and compare these achromats with repetitive achromats designed without internal cell symmetries taken into account.","authors_text":"N. Golubeva, R. Brinkmann, V. Balandin, W. Decking","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-05-16T08:20:02Z","title":"Dihedral Group and Repetitive Achromats with Mirror Symmetric or Mirror Antisymmetric Basic Cell"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3591","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:bc01076f5173d3bea0b3fe6419e1c707531c5143b86242fa2fd3f577c6e327d7","target":"record","created_at":"2026-05-18T03:55:34Z","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":"23f402d87bb5285f02b39a2883189ae9c5964b9f8a13f3c9ebc2baaa45f637f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-05-16T08:20:02Z","title_canon_sha256":"a79e740a1ca40370ed1eb9950d171eccd08fd576feffcb66faae2750dc9b44bd"},"schema_version":"1.0","source":{"id":"1205.3591","kind":"arxiv","version":1}},"canonical_sha256":"3e4ac84d1c2c697194d444ce41849d1561d8e5474968eac0ce6f148539708e47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e4ac84d1c2c697194d444ce41849d1561d8e5474968eac0ce6f148539708e47","first_computed_at":"2026-05-18T03:55:34.672557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:34.672557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R9BnSFIn5F6nKHxJfYFRx3aSXL/ou0zxxUerjiya6LeN4nvPWtQhKuOKESJQ6+O9kH5BqgqZVhSSOuGhnbI4Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:34.673232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3591","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc01076f5173d3bea0b3fe6419e1c707531c5143b86242fa2fd3f577c6e327d7","sha256:1b823f52242884d0b33400f9abd6ec7cdeee61170f7a4ccae861e2a06ec602e2"],"state_sha256":"14e4b48ae0cb6e43e0407a721b8e5e79332b38735020d69c5cc17bf043f7bbc1"}