{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LINGX4KDIH5SKP5IRX4AW74PUM","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":"656cf0b07d927921706d2cc7d9383840777e34bb4e18f51dd165d0b363002880","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-11T12:43:14Z","title_canon_sha256":"4c155753badec2e23ad84863219f5f4332ec8f825c6d23ea0a08be63a28d19a0"},"schema_version":"1.0","source":{"id":"1810.04985","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04985","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04985v3","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04985","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"LINGX4KDIH5S","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LINGX4KDIH5SKP5I","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LINGX4KD","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:50e619849e56487c247552d0c507e5d309b8604c7fa6987ed8f064caed169cee","target":"graph","created_at":"2026-05-17T23:51:33Z","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":"Under a rotation by an angle $\\vartheta$, both the right- and left- handed Weyl spinors pick up a phase factor ${\\exp(\\pm\\, i \\vartheta/2)}$. The upper sign holds for the positive helicity spinors, while the lower sign for the negative helicity spinors. For $\\vartheta = 2\\pi$ radians this produces the famous minus sign. However, the four-component spinors are built from a direct sum of the indicated two-component spinors. The effect of the rotation by $2\\pi$ radians on the eigenspinors of the parity - that is, the Dirac spinors -- is the same as on Weyl spinors. It is because for these spinors","authors_text":"Dharam Vir Ahluwalia, Sweta Sarmah","cross_cats":["astro-ph.GA","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-11T12:43:14Z","title":"Elko under spatial rotations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04985","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:ada3193123d5de92c30dfd59daa503ea8db41d45d5e3de128a0445369aaa6551","target":"record","created_at":"2026-05-17T23:51:33Z","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":"656cf0b07d927921706d2cc7d9383840777e34bb4e18f51dd165d0b363002880","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-11T12:43:14Z","title_canon_sha256":"4c155753badec2e23ad84863219f5f4332ec8f825c6d23ea0a08be63a28d19a0"},"schema_version":"1.0","source":{"id":"1810.04985","kind":"arxiv","version":3}},"canonical_sha256":"5a1a6bf14341fb253fa88df80b7f8fa336023cbddd538cf302a9f58716ab0605","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a1a6bf14341fb253fa88df80b7f8fa336023cbddd538cf302a9f58716ab0605","first_computed_at":"2026-05-17T23:51:33.126699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:33.126699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ajbz4oE1D/ykIIVQ1EY4XnfaZHhTvIo0UjT1QNWdbi831gsXwlQSHF9UvtSBTIDQ5DD6VP2ptrMDSEPi0k60AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:33.127176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04985","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ada3193123d5de92c30dfd59daa503ea8db41d45d5e3de128a0445369aaa6551","sha256:50e619849e56487c247552d0c507e5d309b8604c7fa6987ed8f064caed169cee"],"state_sha256":"600b6bd54f1ea4333c7951afa97cdd64d1668067914e60defc17ff155569f2db"}