{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:T34YDEFE5QQHRRZEL7EGQIOBGM","short_pith_number":"pith:T34YDEFE","schema_version":"1.0","canonical_sha256":"9ef98190a4ec2078c7245fc86821c133250ab215067135bd2bdc15a42764515a","source":{"kind":"arxiv","id":"1409.2785","version":2},"attestation_state":"computed","paper":{"title":"Identifying orbital angular momentum of vectorial vortices with Pancharatnam phase and Stokes parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"physics.optics","authors_text":"Dengke Zhang, Fang Liu, Kaiyu Cui, Xue Feng, Yidong Huang","submitted_at":"2014-09-09T15:49:28Z","abstract_excerpt":"In this work, an explicit formula is deduced for identifying the orbital angular moment (OAM) of vectorial vortex with space-variant state of polarization (SOP). Different to scalar vortex, the OAM of vectorial vortex can be attributed to two parts: the azimuthal gradient of Pancharatnam phase and the product of the azimuthal gradient of orientation angle of SOP and relevant solid angle on the Poincar\\'{e} sphere. With our formula, a geometrical description for OAM of light beams can be achieved under the framework of the traditional Poincar\\'{e} sphere. Numerical simulations for two types of "},"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":"1409.2785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-09T15:49:28Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"f53e44704b7ec00a71f2c7949662e9ee5445549a02e6123e19df6371b4b66e5b","abstract_canon_sha256":"788df61e600d4510bbaf183e336c8d2fd6dcc4920e0628dbf1ecc93a6c2e854a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:14.036852Z","signature_b64":"VVH2A1oTMMmVyCJLOP6e/qzwyyiWRJd2NsUwFF1tJxOntP9rgOt75p5t/jiDApKgtctIKVhb55vonSV2E1GnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ef98190a4ec2078c7245fc86821c133250ab215067135bd2bdc15a42764515a","last_reissued_at":"2026-05-18T00:02:14.036277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:14.036277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Identifying orbital angular momentum of vectorial vortices with Pancharatnam phase and Stokes parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"physics.optics","authors_text":"Dengke Zhang, Fang Liu, Kaiyu Cui, Xue Feng, Yidong Huang","submitted_at":"2014-09-09T15:49:28Z","abstract_excerpt":"In this work, an explicit formula is deduced for identifying the orbital angular moment (OAM) of vectorial vortex with space-variant state of polarization (SOP). Different to scalar vortex, the OAM of vectorial vortex can be attributed to two parts: the azimuthal gradient of Pancharatnam phase and the product of the azimuthal gradient of orientation angle of SOP and relevant solid angle on the Poincar\\'{e} sphere. With our formula, a geometrical description for OAM of light beams can be achieved under the framework of the traditional Poincar\\'{e} sphere. Numerical simulations for two types of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2785","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":""},"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":"1409.2785","created_at":"2026-05-18T00:02:14.036377+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.2785v2","created_at":"2026-05-18T00:02:14.036377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2785","created_at":"2026-05-18T00:02:14.036377+00:00"},{"alias_kind":"pith_short_12","alias_value":"T34YDEFE5QQH","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"T34YDEFE5QQHRRZE","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"T34YDEFE","created_at":"2026-05-18T12:28:49.207871+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/T34YDEFE5QQHRRZEL7EGQIOBGM","json":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM.json","graph_json":"https://pith.science/api/pith-number/T34YDEFE5QQHRRZEL7EGQIOBGM/graph.json","events_json":"https://pith.science/api/pith-number/T34YDEFE5QQHRRZEL7EGQIOBGM/events.json","paper":"https://pith.science/paper/T34YDEFE"},"agent_actions":{"view_html":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM","download_json":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM.json","view_paper":"https://pith.science/paper/T34YDEFE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.2785&json=true","fetch_graph":"https://pith.science/api/pith-number/T34YDEFE5QQHRRZEL7EGQIOBGM/graph.json","fetch_events":"https://pith.science/api/pith-number/T34YDEFE5QQHRRZEL7EGQIOBGM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM/action/storage_attestation","attest_author":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM/action/author_attestation","sign_citation":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM/action/citation_signature","submit_replication":"https://pith.science/pith/T34YDEFE5QQHRRZEL7EGQIOBGM/action/replication_record"}},"created_at":"2026-05-18T00:02:14.036377+00:00","updated_at":"2026-05-18T00:02:14.036377+00:00"}