{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GYA7PHRYXCT3J53NIR3QFBVTOU","short_pith_number":"pith:GYA7PHRY","schema_version":"1.0","canonical_sha256":"3601f79e38b8a7b4f76d44770286b37521738ab6a974fcbe6661dfeb869c9d8d","source":{"kind":"arxiv","id":"1601.05135","version":1},"attestation_state":"computed","paper":{"title":"Longitudinal patterning of twisted light","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ahmed H. Dorrah, Michel Zamboni-Rached, Mo Mojahedi","submitted_at":"2016-01-19T23:47:08Z","abstract_excerpt":"Light beams with azimuthal phase dependence [$exp(i \\ell\\phi)$] carry orbital angular momentum (OAM) which differs fundamentally from spin angular momentum (SAM) associated with polarization. Striking difference between the two momenta is manifested in the allowable values: where SAM is limited to $\\hbar k_0$ per photon, the OAM has unbounded value of $\\ell\\hbar$ per photon ($\\ell$ is integer), thus dramatically exceeding the value of SAM \\cite{Ref1,Ref2, Ref3}. OAM has thus been utilized in optical trapping \\cite{Ref4}, imaging\\cite{Ref2}, and material processing \\cite{Ref5}. Furthermore, the"},"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":"1601.05135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-19T23:47:08Z","cross_cats_sorted":[],"title_canon_sha256":"f2689dc057887716b2e4ffe1d963bd21cf59fc5cf98ea3e273c9b0497a3b9551","abstract_canon_sha256":"aedcd1f2583a448c1cfbc58644f5d70e55967deae208e5362291c5068d70f4d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:31.717798Z","signature_b64":"GtQRKFYE9aXqSznpfMW3CqRZhOVgR3dOdXdSQ823Ttr6ioWyiT3GQ4HsXK7DlpD1QCprLSawhy1WX8qVodxvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3601f79e38b8a7b4f76d44770286b37521738ab6a974fcbe6661dfeb869c9d8d","last_reissued_at":"2026-05-18T01:11:31.717450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:31.717450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Longitudinal patterning of twisted light","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ahmed H. Dorrah, Michel Zamboni-Rached, Mo Mojahedi","submitted_at":"2016-01-19T23:47:08Z","abstract_excerpt":"Light beams with azimuthal phase dependence [$exp(i \\ell\\phi)$] carry orbital angular momentum (OAM) which differs fundamentally from spin angular momentum (SAM) associated with polarization. Striking difference between the two momenta is manifested in the allowable values: where SAM is limited to $\\hbar k_0$ per photon, the OAM has unbounded value of $\\ell\\hbar$ per photon ($\\ell$ is integer), thus dramatically exceeding the value of SAM \\cite{Ref1,Ref2, Ref3}. OAM has thus been utilized in optical trapping \\cite{Ref4}, imaging\\cite{Ref2}, and material processing \\cite{Ref5}. Furthermore, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05135","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":""},"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":"1601.05135","created_at":"2026-05-18T01:11:31.717507+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.05135v1","created_at":"2026-05-18T01:11:31.717507+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05135","created_at":"2026-05-18T01:11:31.717507+00:00"},{"alias_kind":"pith_short_12","alias_value":"GYA7PHRYXCT3","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GYA7PHRYXCT3J53N","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GYA7PHRY","created_at":"2026-05-18T12:30:19.053100+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/GYA7PHRYXCT3J53NIR3QFBVTOU","json":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU.json","graph_json":"https://pith.science/api/pith-number/GYA7PHRYXCT3J53NIR3QFBVTOU/graph.json","events_json":"https://pith.science/api/pith-number/GYA7PHRYXCT3J53NIR3QFBVTOU/events.json","paper":"https://pith.science/paper/GYA7PHRY"},"agent_actions":{"view_html":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU","download_json":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU.json","view_paper":"https://pith.science/paper/GYA7PHRY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.05135&json=true","fetch_graph":"https://pith.science/api/pith-number/GYA7PHRYXCT3J53NIR3QFBVTOU/graph.json","fetch_events":"https://pith.science/api/pith-number/GYA7PHRYXCT3J53NIR3QFBVTOU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU/action/storage_attestation","attest_author":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU/action/author_attestation","sign_citation":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU/action/citation_signature","submit_replication":"https://pith.science/pith/GYA7PHRYXCT3J53NIR3QFBVTOU/action/replication_record"}},"created_at":"2026-05-18T01:11:31.717507+00:00","updated_at":"2026-05-18T01:11:31.717507+00:00"}