{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:A7XFE6F4QAH7CLDKCFTB3LRO6J","short_pith_number":"pith:A7XFE6F4","schema_version":"1.0","canonical_sha256":"07ee5278bc800ff12c6a11661dae2ef25d1a7ab79866e372c8394a8447c74f7f","source":{"kind":"arxiv","id":"2504.07922","version":1},"attestation_state":"computed","paper":{"title":"Exploring Structure Constants in Planar $\\mathcal{N} = 4$ SYM: From Small Spin to Strong Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alessandro Georgoudis, Benjamin Basso","submitted_at":"2025-04-10T17:39:49Z","abstract_excerpt":"We study the structure constants of two conformal primary operators and one spinning operator in planar $\\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure "},"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":"2504.07922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-10T17:39:49Z","cross_cats_sorted":[],"title_canon_sha256":"2e1f5797ded480e85b7cc67a25acd40cc59b02b1ce0a95220673e7ee02deee9d","abstract_canon_sha256":"24b4b84660a20cc510fc5ecea50582263c716e5b3f0e6d8bf6744dfc8cd3509e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:47:21.941062Z","signature_b64":"y+seHQnSr5URKxZDVbGMnD+2j5DbUM/XA96BI4UlunIUa9K/hn2KTTeJDeAcxAghCYA/1LE05Ik8nJtspsjaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07ee5278bc800ff12c6a11661dae2ef25d1a7ab79866e372c8394a8447c74f7f","last_reissued_at":"2026-07-05T10:47:21.940577Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:47:21.940577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exploring Structure Constants in Planar $\\mathcal{N} = 4$ SYM: From Small Spin to Strong Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alessandro Georgoudis, Benjamin Basso","submitted_at":"2025-04-10T17:39:49Z","abstract_excerpt":"We study the structure constants of two conformal primary operators and one spinning operator in planar $\\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.07922","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/2504.07922/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":"2504.07922","created_at":"2026-07-05T10:47:21.940635+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.07922v1","created_at":"2026-07-05T10:47:21.940635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.07922","created_at":"2026-07-05T10:47:21.940635+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7XFE6F4QAH7","created_at":"2026-07-05T10:47:21.940635+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7XFE6F4QAH7CLDK","created_at":"2026-07-05T10:47:21.940635+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7XFE6F4","created_at":"2026-07-05T10:47:21.940635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.15983","citing_title":"Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz","ref_index":80,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J","json":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J.json","graph_json":"https://pith.science/api/pith-number/A7XFE6F4QAH7CLDKCFTB3LRO6J/graph.json","events_json":"https://pith.science/api/pith-number/A7XFE6F4QAH7CLDKCFTB3LRO6J/events.json","paper":"https://pith.science/paper/A7XFE6F4"},"agent_actions":{"view_html":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J","download_json":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J.json","view_paper":"https://pith.science/paper/A7XFE6F4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.07922&json=true","fetch_graph":"https://pith.science/api/pith-number/A7XFE6F4QAH7CLDKCFTB3LRO6J/graph.json","fetch_events":"https://pith.science/api/pith-number/A7XFE6F4QAH7CLDKCFTB3LRO6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J/action/storage_attestation","attest_author":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J/action/author_attestation","sign_citation":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J/action/citation_signature","submit_replication":"https://pith.science/pith/A7XFE6F4QAH7CLDKCFTB3LRO6J/action/replication_record"}},"created_at":"2026-07-05T10:47:21.940635+00:00","updated_at":"2026-07-05T10:47:21.940635+00:00"}