{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:LVJXVJLAAXQQGM3VF7SDVGAKST","short_pith_number":"pith:LVJXVJLA","schema_version":"1.0","canonical_sha256":"5d537aa56005e10333752fe43a980a94db2a54c7dc6ced795a7636202daa5760","source":{"kind":"arxiv","id":"2507.12512","version":1},"attestation_state":"computed","paper":{"title":"Covering space maps for $n$-point functions with three long twists","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin A. Burrington, Ida G. Zadeh","submitted_at":"2025-07-16T18:00:00Z","abstract_excerpt":"We consider correlation functions in symmetric product orbifold CFTs on the sphere, focusing on the case where all operators are single-cycle twists, and the covering surface is also a sphere. We directly construct the general class of covering space maps where there are three twists of arbitrary lengths, along with any number of twist-2 insertions. These are written as a ratio of sums of Jacobi polynomials with $\\Delta N+1$ coefficients $b_N$. These coefficients have a scaling symmetry $b_N\\rightarrow \\lambda b_N$, making them naturally valued in $\\mathbb{CP}^{\\Delta N}$. We explore limits wh"},"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":"2507.12512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-16T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"7bc40016fedac02011e771d978c147dc7c420de55704acf5c21c225f90795ac3","abstract_canon_sha256":"43cfd6ca126aa5d1d16d5b472a00500e54b5a788854f196f8ad8f94c462092e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:33.745716Z","signature_b64":"hV6WH0lRgpSJ9z+aNDrcN6y8VAcGCvRmxJRnk2eDmi9l9aOGBLu7VucEg8H8d04pTt66p2c10NtA5lEBG0P2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d537aa56005e10333752fe43a980a94db2a54c7dc6ced795a7636202daa5760","last_reissued_at":"2026-07-05T11:38:33.745189Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:33.745189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Covering space maps for $n$-point functions with three long twists","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin A. Burrington, Ida G. Zadeh","submitted_at":"2025-07-16T18:00:00Z","abstract_excerpt":"We consider correlation functions in symmetric product orbifold CFTs on the sphere, focusing on the case where all operators are single-cycle twists, and the covering surface is also a sphere. We directly construct the general class of covering space maps where there are three twists of arbitrary lengths, along with any number of twist-2 insertions. These are written as a ratio of sums of Jacobi polynomials with $\\Delta N+1$ coefficients $b_N$. These coefficients have a scaling symmetry $b_N\\rightarrow \\lambda b_N$, making them naturally valued in $\\mathbb{CP}^{\\Delta N}$. We explore limits wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12512","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/2507.12512/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":"2507.12512","created_at":"2026-07-05T11:38:33.745254+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.12512v1","created_at":"2026-07-05T11:38:33.745254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12512","created_at":"2026-07-05T11:38:33.745254+00:00"},{"alias_kind":"pith_short_12","alias_value":"LVJXVJLAAXQQ","created_at":"2026-07-05T11:38:33.745254+00:00"},{"alias_kind":"pith_short_16","alias_value":"LVJXVJLAAXQQGM3V","created_at":"2026-07-05T11:38:33.745254+00:00"},{"alias_kind":"pith_short_8","alias_value":"LVJXVJLA","created_at":"2026-07-05T11:38:33.745254+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/LVJXVJLAAXQQGM3VF7SDVGAKST","json":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST.json","graph_json":"https://pith.science/api/pith-number/LVJXVJLAAXQQGM3VF7SDVGAKST/graph.json","events_json":"https://pith.science/api/pith-number/LVJXVJLAAXQQGM3VF7SDVGAKST/events.json","paper":"https://pith.science/paper/LVJXVJLA"},"agent_actions":{"view_html":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST","download_json":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST.json","view_paper":"https://pith.science/paper/LVJXVJLA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.12512&json=true","fetch_graph":"https://pith.science/api/pith-number/LVJXVJLAAXQQGM3VF7SDVGAKST/graph.json","fetch_events":"https://pith.science/api/pith-number/LVJXVJLAAXQQGM3VF7SDVGAKST/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST/action/storage_attestation","attest_author":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST/action/author_attestation","sign_citation":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST/action/citation_signature","submit_replication":"https://pith.science/pith/LVJXVJLAAXQQGM3VF7SDVGAKST/action/replication_record"}},"created_at":"2026-07-05T11:38:33.745254+00:00","updated_at":"2026-07-05T11:38:33.745254+00:00"}