{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:A3DPFT54F2JM25DBSQEYHMOHXC","short_pith_number":"pith:A3DPFT54","schema_version":"1.0","canonical_sha256":"06c6f2cfbc2e92cd7461940983b1c7b883400462fb633236e27d6b29c8c11702","source":{"kind":"arxiv","id":"2212.04697","version":1},"attestation_state":"computed","paper":{"title":"Spin/momentum properties of the paraxial optical beams","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Heng Li, Luping Du, Peng Shi, Xiaocong Yuan","submitted_at":"2022-12-09T07:09:37Z","abstract_excerpt":"Spin angular momentum, an elementary dynamical property of classical electromagnetic fields, plays an important role in spin-orbit and light-matter interactions, especially in near-field optics. The research on optical spins has led to the discovery of phenomena such as optical spin-momentum locking and photonic topological quasiparticles, as well as applications in high-precision detection and nanometrology. Here, we investigate spin-momentum relations in paraxial optical systems and show that the optical spin angular momentum contains transverse and longitudinal spin components simultaneousl"},"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":"2212.04697","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.optics","submitted_at":"2022-12-09T07:09:37Z","cross_cats_sorted":[],"title_canon_sha256":"9c89b94710ff9894b00cf3aeb9dea5a055197746b6a4e2f8d44d8678c4416b53","abstract_canon_sha256":"cd30a5a913edf50ab52a21a13055192201dc3f5c51eb48124a6fab0b7fa0fef7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:41:36.131362Z","signature_b64":"4ivHwwn/z++oi2cL14k2mA7LtAX1mmH/sBq5+7YJ9wshpAkJJyXojMFnI2oc4PEx6Sv4mCoOKo2XKIPLk8jRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06c6f2cfbc2e92cd7461940983b1c7b883400462fb633236e27d6b29c8c11702","last_reissued_at":"2026-07-05T05:41:36.130886Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:41:36.130886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin/momentum properties of the paraxial optical beams","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Heng Li, Luping Du, Peng Shi, Xiaocong Yuan","submitted_at":"2022-12-09T07:09:37Z","abstract_excerpt":"Spin angular momentum, an elementary dynamical property of classical electromagnetic fields, plays an important role in spin-orbit and light-matter interactions, especially in near-field optics. The research on optical spins has led to the discovery of phenomena such as optical spin-momentum locking and photonic topological quasiparticles, as well as applications in high-precision detection and nanometrology. Here, we investigate spin-momentum relations in paraxial optical systems and show that the optical spin angular momentum contains transverse and longitudinal spin components simultaneousl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04697","kind":"arxiv","version":1},"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/2212.04697/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":"2212.04697","created_at":"2026-07-05T05:41:36.130945+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.04697v1","created_at":"2026-07-05T05:41:36.130945+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04697","created_at":"2026-07-05T05:41:36.130945+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3DPFT54F2JM","created_at":"2026-07-05T05:41:36.130945+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3DPFT54F2JM25DB","created_at":"2026-07-05T05:41:36.130945+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3DPFT54","created_at":"2026-07-05T05:41:36.130945+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/A3DPFT54F2JM25DBSQEYHMOHXC","json":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC.json","graph_json":"https://pith.science/api/pith-number/A3DPFT54F2JM25DBSQEYHMOHXC/graph.json","events_json":"https://pith.science/api/pith-number/A3DPFT54F2JM25DBSQEYHMOHXC/events.json","paper":"https://pith.science/paper/A3DPFT54"},"agent_actions":{"view_html":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC","download_json":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC.json","view_paper":"https://pith.science/paper/A3DPFT54","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.04697&json=true","fetch_graph":"https://pith.science/api/pith-number/A3DPFT54F2JM25DBSQEYHMOHXC/graph.json","fetch_events":"https://pith.science/api/pith-number/A3DPFT54F2JM25DBSQEYHMOHXC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC/action/storage_attestation","attest_author":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC/action/author_attestation","sign_citation":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC/action/citation_signature","submit_replication":"https://pith.science/pith/A3DPFT54F2JM25DBSQEYHMOHXC/action/replication_record"}},"created_at":"2026-07-05T05:41:36.130945+00:00","updated_at":"2026-07-05T05:41:36.130945+00:00"}