{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LVJXVJLAAXQQGM3VF7SDVGAKST","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"43cfd6ca126aa5d1d16d5b472a00500e54b5a788854f196f8ad8f94c462092e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-16T18:00:00Z","title_canon_sha256":"7bc40016fedac02011e771d978c147dc7c420de55704acf5c21c225f90795ac3"},"schema_version":"1.0","source":{"id":"2507.12512","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12512","created_at":"2026-07-05T11:38:33Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12512v1","created_at":"2026-07-05T11:38:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12512","created_at":"2026-07-05T11:38:33Z"},{"alias_kind":"pith_short_12","alias_value":"LVJXVJLAAXQQ","created_at":"2026-07-05T11:38:33Z"},{"alias_kind":"pith_short_16","alias_value":"LVJXVJLAAXQQGM3V","created_at":"2026-07-05T11:38:33Z"},{"alias_kind":"pith_short_8","alias_value":"LVJXVJLA","created_at":"2026-07-05T11:38:33Z"}],"graph_snapshots":[{"event_id":"sha256:52bd071f36cfbcff11538610f92ad0d3585117e9149487f970314077dcc89b3f","target":"graph","created_at":"2026-07-05T11:38:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.12512/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Benjamin A. Burrington, Ida G. Zadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-16T18:00:00Z","title":"Covering space maps for $n$-point functions with three long twists"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12512","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b54f7176d028a8c54af7e92b92c7fa08ce6ba284e3637ed2b57615a2105856b5","target":"record","created_at":"2026-07-05T11:38:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"43cfd6ca126aa5d1d16d5b472a00500e54b5a788854f196f8ad8f94c462092e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-16T18:00:00Z","title_canon_sha256":"7bc40016fedac02011e771d978c147dc7c420de55704acf5c21c225f90795ac3"},"schema_version":"1.0","source":{"id":"2507.12512","kind":"arxiv","version":1}},"canonical_sha256":"5d537aa56005e10333752fe43a980a94db2a54c7dc6ced795a7636202daa5760","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d537aa56005e10333752fe43a980a94db2a54c7dc6ced795a7636202daa5760","first_computed_at":"2026-07-05T11:38:33.745189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:33.745189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hV6WH0lRgpSJ9z+aNDrcN6y8VAcGCvRmxJRnk2eDmi9l9aOGBLu7VucEg8H8d04pTt66p2c10NtA5lEBG0P2Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:33.745716Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12512","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b54f7176d028a8c54af7e92b92c7fa08ce6ba284e3637ed2b57615a2105856b5","sha256:52bd071f36cfbcff11538610f92ad0d3585117e9149487f970314077dcc89b3f"],"state_sha256":"ea43a28c44aefa16ccb072a9bbbc11310689e6d5abf7b245e6aa8c5544e76030"}