{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WWNGIZZK2X2S4XJL4T2UCOWEGZ","short_pith_number":"pith:WWNGIZZK","schema_version":"1.0","canonical_sha256":"b59a64672ad5f52e5d2be4f5413ac4366936396e00048a2e324eae9f29ac846a","source":{"kind":"arxiv","id":"1105.0053","version":1},"attestation_state":"computed","paper":{"title":"Characterization of vector diffraction-free beams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Chun-Fang Li, Shuang-Yan Yang, Ting-Ting Wang","submitted_at":"2011-04-30T07:23:56Z","abstract_excerpt":"It is observed that a constant unit vector denoted by $\\mathbf I$ is needed to characterize a complete orthonormal set of vector diffraction-free beams. The previously found diffraction-free beams are shown to be included as special cases. The $\\mathbf I$-dependence of the longitudinal component of diffraction-free beams is also discussed."},"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":"1105.0053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-30T07:23:56Z","cross_cats_sorted":[],"title_canon_sha256":"49d8ca48234af2aec68605738a277baef668b0d618c653b86c5cea23126328f3","abstract_canon_sha256":"b359791c661db9a9b9f609072e78a4348aa188cb9a006e47cbe6b6d99e92f164"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:09.032767Z","signature_b64":"xV1d4v2ly7HPOwlJNEyZQjVs76aPu81TpTLdLbHngYLuZAhw8TYkrhQwN4ZmQG3IlgszbmwyvvHcnsm3jW4lAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b59a64672ad5f52e5d2be4f5413ac4366936396e00048a2e324eae9f29ac846a","last_reissued_at":"2026-05-18T01:22:09.032138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:09.032138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterization of vector diffraction-free beams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Chun-Fang Li, Shuang-Yan Yang, Ting-Ting Wang","submitted_at":"2011-04-30T07:23:56Z","abstract_excerpt":"It is observed that a constant unit vector denoted by $\\mathbf I$ is needed to characterize a complete orthonormal set of vector diffraction-free beams. The previously found diffraction-free beams are shown to be included as special cases. The $\\mathbf I$-dependence of the longitudinal component of diffraction-free beams is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0053","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":"1105.0053","created_at":"2026-05-18T01:22:09.032224+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.0053v1","created_at":"2026-05-18T01:22:09.032224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0053","created_at":"2026-05-18T01:22:09.032224+00:00"},{"alias_kind":"pith_short_12","alias_value":"WWNGIZZK2X2S","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WWNGIZZK2X2S4XJL","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WWNGIZZK","created_at":"2026-05-18T12:26:44.992195+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/WWNGIZZK2X2S4XJL4T2UCOWEGZ","json":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ.json","graph_json":"https://pith.science/api/pith-number/WWNGIZZK2X2S4XJL4T2UCOWEGZ/graph.json","events_json":"https://pith.science/api/pith-number/WWNGIZZK2X2S4XJL4T2UCOWEGZ/events.json","paper":"https://pith.science/paper/WWNGIZZK"},"agent_actions":{"view_html":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ","download_json":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ.json","view_paper":"https://pith.science/paper/WWNGIZZK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.0053&json=true","fetch_graph":"https://pith.science/api/pith-number/WWNGIZZK2X2S4XJL4T2UCOWEGZ/graph.json","fetch_events":"https://pith.science/api/pith-number/WWNGIZZK2X2S4XJL4T2UCOWEGZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ/action/storage_attestation","attest_author":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ/action/author_attestation","sign_citation":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ/action/citation_signature","submit_replication":"https://pith.science/pith/WWNGIZZK2X2S4XJL4T2UCOWEGZ/action/replication_record"}},"created_at":"2026-05-18T01:22:09.032224+00:00","updated_at":"2026-05-18T01:22:09.032224+00:00"}