{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:OYD432YULVIYQ5BKZKK6RK2KMQ","short_pith_number":"pith:OYD432YU","schema_version":"1.0","canonical_sha256":"7607cdeb145d5188742aca95e8ab4a641bb8d13f2524dd4670bcc1beff8bb842","source":{"kind":"arxiv","id":"1907.04439","version":1},"attestation_state":"computed","paper":{"title":"A note on the spectral flow operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gaston Giribet","submitted_at":"2019-07-09T22:18:27Z","abstract_excerpt":"The insertion of the spectral flow operator in a string scattering amplitude on AdS$_3\\times \\mathcal{N}$ produces a change in the winding number of one of the incoming (or outgoing) states, making it possible to compute amplitudes of processes in which winding number in AdS$_3$ is not conserved. The insertion of such operator, however, might seem artificial from the worldsheet theory perspective, as it appears as an unintegrated vertex operator of conformal dimension zero that does not represent any normalizable state. Here, we show that the spectral flow operator naturally emerges in the Lio"},"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":"1907.04439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-07-09T22:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"97b3872a9907525c5661698244f257410a7852f2c75f69f7373c8b08271cc021","abstract_canon_sha256":"e644e170542b9065336bb2fea0c71ae71cdd9526f268febbfc33200ee6ad5552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:25:12.174825Z","signature_b64":"vMng1lb7EzuLYzKHHAio06zQvXhs0ETdYuszrH61x1j2PrnGMr00WH9p8IGveAq2fC4nYzOgFuUXKpP7h6+ADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7607cdeb145d5188742aca95e8ab4a641bb8d13f2524dd4670bcc1beff8bb842","last_reissued_at":"2026-07-05T00:25:12.174345Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:25:12.174345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the spectral flow operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gaston Giribet","submitted_at":"2019-07-09T22:18:27Z","abstract_excerpt":"The insertion of the spectral flow operator in a string scattering amplitude on AdS$_3\\times \\mathcal{N}$ produces a change in the winding number of one of the incoming (or outgoing) states, making it possible to compute amplitudes of processes in which winding number in AdS$_3$ is not conserved. The insertion of such operator, however, might seem artificial from the worldsheet theory perspective, as it appears as an unintegrated vertex operator of conformal dimension zero that does not represent any normalizable state. Here, we show that the spectral flow operator naturally emerges in the Lio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04439","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/1907.04439/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":"1907.04439","created_at":"2026-07-05T00:25:12.174406+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.04439v1","created_at":"2026-07-05T00:25:12.174406+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04439","created_at":"2026-07-05T00:25:12.174406+00:00"},{"alias_kind":"pith_short_12","alias_value":"OYD432YULVIY","created_at":"2026-07-05T00:25:12.174406+00:00"},{"alias_kind":"pith_short_16","alias_value":"OYD432YULVIYQ5BK","created_at":"2026-07-05T00:25:12.174406+00:00"},{"alias_kind":"pith_short_8","alias_value":"OYD432YU","created_at":"2026-07-05T00:25:12.174406+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.20227","citing_title":"On the CFT dual of superstring on AdS$_3$","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ","json":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ.json","graph_json":"https://pith.science/api/pith-number/OYD432YULVIYQ5BKZKK6RK2KMQ/graph.json","events_json":"https://pith.science/api/pith-number/OYD432YULVIYQ5BKZKK6RK2KMQ/events.json","paper":"https://pith.science/paper/OYD432YU"},"agent_actions":{"view_html":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ","download_json":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ.json","view_paper":"https://pith.science/paper/OYD432YU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.04439&json=true","fetch_graph":"https://pith.science/api/pith-number/OYD432YULVIYQ5BKZKK6RK2KMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/OYD432YULVIYQ5BKZKK6RK2KMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ/action/storage_attestation","attest_author":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ/action/author_attestation","sign_citation":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ/action/citation_signature","submit_replication":"https://pith.science/pith/OYD432YULVIYQ5BKZKK6RK2KMQ/action/replication_record"}},"created_at":"2026-07-05T00:25:12.174406+00:00","updated_at":"2026-07-05T00:25:12.174406+00:00"}