{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6GOY6MLQBRKTRZBSZUYCKSWQFS","short_pith_number":"pith:6GOY6MLQ","schema_version":"1.0","canonical_sha256":"f19d8f31700c5538e432cd30254ad02c9258580fccf84ede67fbab82f1691388","source":{"kind":"arxiv","id":"1812.10566","version":1},"attestation_state":"computed","paper":{"title":"Classical entanglement underpins the propagation invariance of space-time wave packets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.optics","authors_text":"Ayman F. Abouraddy, H. Esat Kondakci, Miguel A. Alonso","submitted_at":"2018-12-26T22:49:09Z","abstract_excerpt":"Space-time wave packets are propagation-invariant pulsed beams that travel in free space without diffraction or dispersion by virtue of tight correlations introduced into their spatio-temporal spectrum. Such correlations constitute an embodiment of classical entanglement between continuous degrees of freedom. Using a measure of classical entanglement based on the Schmidt number of the field, we demonstrate theoretically and experimentally that the degree of classical entanglement determines the diffraction-free propagation distance of ST wave packets. Reduction in the degree of classical entan"},"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":"1812.10566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-12-26T22:49:09Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e22fc9c11f1c084e741140be6b5f61c74c5c65bf9d15e69e6320f91b47db5297","abstract_canon_sha256":"2fdeaa012361d5d15cd79c2bd3e2dd95c08327f668a7c8e0cee6d7f595aee38b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:20.650451Z","signature_b64":"03JyKcuHoOGEmu/4I54iIJ+A1DBXJwJilSgVDHGNn+gYPFHEuT9dG3L9HRAHH9nTSaqVhVmQvLppBGc/aQ8aDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f19d8f31700c5538e432cd30254ad02c9258580fccf84ede67fbab82f1691388","last_reissued_at":"2026-05-17T23:57:20.649782Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:20.649782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical entanglement underpins the propagation invariance of space-time wave packets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.optics","authors_text":"Ayman F. Abouraddy, H. Esat Kondakci, Miguel A. Alonso","submitted_at":"2018-12-26T22:49:09Z","abstract_excerpt":"Space-time wave packets are propagation-invariant pulsed beams that travel in free space without diffraction or dispersion by virtue of tight correlations introduced into their spatio-temporal spectrum. Such correlations constitute an embodiment of classical entanglement between continuous degrees of freedom. Using a measure of classical entanglement based on the Schmidt number of the field, we demonstrate theoretically and experimentally that the degree of classical entanglement determines the diffraction-free propagation distance of ST wave packets. Reduction in the degree of classical entan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10566","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":"1812.10566","created_at":"2026-05-17T23:57:20.649879+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.10566v1","created_at":"2026-05-17T23:57:20.649879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10566","created_at":"2026-05-17T23:57:20.649879+00:00"},{"alias_kind":"pith_short_12","alias_value":"6GOY6MLQBRKT","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"6GOY6MLQBRKTRZBS","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"6GOY6MLQ","created_at":"2026-05-18T12:32:08.215937+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/6GOY6MLQBRKTRZBSZUYCKSWQFS","json":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS.json","graph_json":"https://pith.science/api/pith-number/6GOY6MLQBRKTRZBSZUYCKSWQFS/graph.json","events_json":"https://pith.science/api/pith-number/6GOY6MLQBRKTRZBSZUYCKSWQFS/events.json","paper":"https://pith.science/paper/6GOY6MLQ"},"agent_actions":{"view_html":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS","download_json":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS.json","view_paper":"https://pith.science/paper/6GOY6MLQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.10566&json=true","fetch_graph":"https://pith.science/api/pith-number/6GOY6MLQBRKTRZBSZUYCKSWQFS/graph.json","fetch_events":"https://pith.science/api/pith-number/6GOY6MLQBRKTRZBSZUYCKSWQFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS/action/storage_attestation","attest_author":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS/action/author_attestation","sign_citation":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS/action/citation_signature","submit_replication":"https://pith.science/pith/6GOY6MLQBRKTRZBSZUYCKSWQFS/action/replication_record"}},"created_at":"2026-05-17T23:57:20.649879+00:00","updated_at":"2026-05-17T23:57:20.649879+00:00"}