{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WQKHIC5AIBH6HSGSXB7JU77NHJ","short_pith_number":"pith:WQKHIC5A","schema_version":"1.0","canonical_sha256":"b414740ba0404fe3c8d2b87e9a7fed3a5097b0705c7d32c71e0ffd5a02f578b5","source":{"kind":"arxiv","id":"2009.02008","version":1},"attestation_state":"computed","paper":{"title":"Arbitrary linear transformations for photons in the frequency synthetic dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Avik Dutt, Ian A. D. Williamson, Momchil Minkov, Shanhui Fan, Siddharth Buddhiraju","submitted_at":"2020-09-04T04:43:59Z","abstract_excerpt":"Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a new photonic architecture to achieve arbitrary linear transformations by harnessing the synthetic frequency dimension of photons. Our structure consists of dynamically modulated micro-ring resonators that implement tunable couplings between multiple frequency modes carried by a single waveguide. By inverse design of these short- and long-range couplings using automat"},"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":"2009.02008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2020-09-04T04:43:59Z","cross_cats_sorted":[],"title_canon_sha256":"289ff1158b3e9c6e95ac94342adb8615c236666d4dc0b73c898e570dede99fc5","abstract_canon_sha256":"b2521bb4b0922777c8bd8b89c15899836819700213738e1b7f2149372f417b44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:04.760819Z","signature_b64":"7uAoyCyRllSoNWBdcyexgnGVeSCXa3DBH3GN76OhnCFlMYMz9xvhhmiVMnHRCJmA+h5mDaVv07KN98Xt2/orDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b414740ba0404fe3c8d2b87e9a7fed3a5097b0705c7d32c71e0ffd5a02f578b5","last_reissued_at":"2026-07-05T02:39:04.760323Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:04.760323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arbitrary linear transformations for photons in the frequency synthetic dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Avik Dutt, Ian A. D. Williamson, Momchil Minkov, Shanhui Fan, Siddharth Buddhiraju","submitted_at":"2020-09-04T04:43:59Z","abstract_excerpt":"Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a new photonic architecture to achieve arbitrary linear transformations by harnessing the synthetic frequency dimension of photons. Our structure consists of dynamically modulated micro-ring resonators that implement tunable couplings between multiple frequency modes carried by a single waveguide. By inverse design of these short- and long-range couplings using automat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02008","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/2009.02008/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":"2009.02008","created_at":"2026-07-05T02:39:04.760384+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.02008v1","created_at":"2026-07-05T02:39:04.760384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02008","created_at":"2026-07-05T02:39:04.760384+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQKHIC5AIBH6","created_at":"2026-07-05T02:39:04.760384+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQKHIC5AIBH6HSGS","created_at":"2026-07-05T02:39:04.760384+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQKHIC5A","created_at":"2026-07-05T02:39:04.760384+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/WQKHIC5AIBH6HSGSXB7JU77NHJ","json":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ.json","graph_json":"https://pith.science/api/pith-number/WQKHIC5AIBH6HSGSXB7JU77NHJ/graph.json","events_json":"https://pith.science/api/pith-number/WQKHIC5AIBH6HSGSXB7JU77NHJ/events.json","paper":"https://pith.science/paper/WQKHIC5A"},"agent_actions":{"view_html":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ","download_json":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ.json","view_paper":"https://pith.science/paper/WQKHIC5A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.02008&json=true","fetch_graph":"https://pith.science/api/pith-number/WQKHIC5AIBH6HSGSXB7JU77NHJ/graph.json","fetch_events":"https://pith.science/api/pith-number/WQKHIC5AIBH6HSGSXB7JU77NHJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ/action/storage_attestation","attest_author":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ/action/author_attestation","sign_citation":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ/action/citation_signature","submit_replication":"https://pith.science/pith/WQKHIC5AIBH6HSGSXB7JU77NHJ/action/replication_record"}},"created_at":"2026-07-05T02:39:04.760384+00:00","updated_at":"2026-07-05T02:39:04.760384+00:00"}