{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3BGEPUADGR76CYSHKP4A7JM2UM","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":"658316d2f5e5960a894f1229482e6833b9c417d9ddb24d21356fdc6858f1da7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-02T13:27:33Z","title_canon_sha256":"e92fd5409e749df0be1cee9aefa716f2136d136b889e4ad701c1aacb9daf22be"},"schema_version":"1.0","source":{"id":"1502.00469","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00469","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00469v2","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00469","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"3BGEPUADGR76","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3BGEPUADGR76CYSH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3BGEPUAD","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:9796a58a1ab98ccd5b44c8bf9e1ec1bead33814692f3686fc6cfac964bb47bb3","target":"graph","created_at":"2026-05-18T02:21:51Z","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":"In this work we investigate the role of the beam astigmatism in the Goos-H\\\"anchen and Imbert-Fedorov shift. As a case study, we consider a Gaussian beam focused by an astigmatic lens and we calculate explicitly the corrections to the standard formulas for beam shifts due to the astigmatism induced by the lens. Our results show that astigmatism may enhance the angular part of the shift.","authors_text":"Andrea Aiello, Marco Ornigotti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-02T13:27:33Z","title":"Goos-H\\\"anchen and Imbert-Fedorov shifts for astigmatic Gaussian beams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00469","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:a18b53a43d8225aa4b3047eb080e02d6375cef3a0cce79d476d63eae1011ae3c","target":"record","created_at":"2026-05-18T02:21:51Z","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":"658316d2f5e5960a894f1229482e6833b9c417d9ddb24d21356fdc6858f1da7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-02T13:27:33Z","title_canon_sha256":"e92fd5409e749df0be1cee9aefa716f2136d136b889e4ad701c1aacb9daf22be"},"schema_version":"1.0","source":{"id":"1502.00469","kind":"arxiv","version":2}},"canonical_sha256":"d84c47d003347fe1624753f80fa59aa310b76d40af478bd8d4806b02be2d5528","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d84c47d003347fe1624753f80fa59aa310b76d40af478bd8d4806b02be2d5528","first_computed_at":"2026-05-18T02:21:51.313891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:51.313891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ICEFFOFfmtHh45r6Amozn+k/hPiPYKBnLuuJshhKFQErw0DjzcU+p1fj/xpYuHbHhEwTbUDsqzvGAVTOWcceBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:51.314505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00469","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a18b53a43d8225aa4b3047eb080e02d6375cef3a0cce79d476d63eae1011ae3c","sha256:9796a58a1ab98ccd5b44c8bf9e1ec1bead33814692f3686fc6cfac964bb47bb3"],"state_sha256":"3eeb20c35430030bca7fc34aff0fdf74b0de485c1256675bdb7323811b6a6168"}