{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:2GD4ENJBXUKVFFTDB2BJFPQSLG","short_pith_number":"pith:2GD4ENJB","schema_version":"1.0","canonical_sha256":"d187c23521bd155296630e8292be12599b692533aac7e4c06f77580133bfe03f","source":{"kind":"arxiv","id":"2202.12213","version":2},"attestation_state":"computed","paper":{"title":"Geometric decomposition of geodesics and null phase curves using Majorana star representation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Akhilesh K.S., Sandeep K. Goyal, Vikash Mittal","submitted_at":"2022-02-24T17:21:17Z","abstract_excerpt":"Geodesics are the shortest curves between any two points on a given surface. Geodesics in the state space of quantum systems play an important role in the theory of geometric phases, as these are also the curves along which the acquired geometric phase is zero. Null phase curves (NPCs) are the generalization of the geodesics, which are defined as the curves along which the acquired geometric phase is zero even though they need not be the shortest curves between two points. Here we present a geometric decomposition of geodesics and NPCs in higher-dimensional state space, which allows understand"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2202.12213","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-02-24T17:21:17Z","cross_cats_sorted":[],"title_canon_sha256":"048b78f9c9ac8c600dd07327f2ac9dc888a4880c6447252229a65b02f8204c47","abstract_canon_sha256":"a3fe95bcbdc64c281a211f240240f151ad0d3a19802717a5737aae902d551c82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:30:07.539861Z","signature_b64":"oDGGrSGLMks0xuIg0Do3i5/bcFR2Nd9iEN56NfiyI+UGMiuJIsXjcpeq6610nFwa2jCkYJzEebg79QDexrx+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d187c23521bd155296630e8292be12599b692533aac7e4c06f77580133bfe03f","last_reissued_at":"2026-07-05T04:30:07.539437Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:30:07.539437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric decomposition of geodesics and null phase curves using Majorana star representation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Akhilesh K.S., Sandeep K. Goyal, Vikash Mittal","submitted_at":"2022-02-24T17:21:17Z","abstract_excerpt":"Geodesics are the shortest curves between any two points on a given surface. Geodesics in the state space of quantum systems play an important role in the theory of geometric phases, as these are also the curves along which the acquired geometric phase is zero. Null phase curves (NPCs) are the generalization of the geodesics, which are defined as the curves along which the acquired geometric phase is zero even though they need not be the shortest curves between two points. Here we present a geometric decomposition of geodesics and NPCs in higher-dimensional state space, which allows understand"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.12213","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.12213/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2202.12213","created_at":"2026-07-05T04:30:07.539492+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.12213v2","created_at":"2026-07-05T04:30:07.539492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.12213","created_at":"2026-07-05T04:30:07.539492+00:00"},{"alias_kind":"pith_short_12","alias_value":"2GD4ENJBXUKV","created_at":"2026-07-05T04:30:07.539492+00:00"},{"alias_kind":"pith_short_16","alias_value":"2GD4ENJBXUKVFFTD","created_at":"2026-07-05T04:30:07.539492+00:00"},{"alias_kind":"pith_short_8","alias_value":"2GD4ENJB","created_at":"2026-07-05T04:30:07.539492+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG","json":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG.json","graph_json":"https://pith.science/api/pith-number/2GD4ENJBXUKVFFTDB2BJFPQSLG/graph.json","events_json":"https://pith.science/api/pith-number/2GD4ENJBXUKVFFTDB2BJFPQSLG/events.json","paper":"https://pith.science/paper/2GD4ENJB"},"agent_actions":{"view_html":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG","download_json":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG.json","view_paper":"https://pith.science/paper/2GD4ENJB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.12213&json=true","fetch_graph":"https://pith.science/api/pith-number/2GD4ENJBXUKVFFTDB2BJFPQSLG/graph.json","fetch_events":"https://pith.science/api/pith-number/2GD4ENJBXUKVFFTDB2BJFPQSLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG/action/storage_attestation","attest_author":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG/action/author_attestation","sign_citation":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG/action/citation_signature","submit_replication":"https://pith.science/pith/2GD4ENJBXUKVFFTDB2BJFPQSLG/action/replication_record"}},"created_at":"2026-07-05T04:30:07.539492+00:00","updated_at":"2026-07-05T04:30:07.539492+00:00"}