{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TQT7VNHIZUOOQB6J5RTFJDLL4X","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":"739a9e2b2579bd1d576816c6d1164943aed6e4bbb0e27c19a74a040db5a4f149","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-15T21:16:52Z","title_canon_sha256":"6a29a0e77cdd82f79b14cd5076628e15f33553663ea80ec9031b6f41f4434046"},"schema_version":"1.0","source":{"id":"1304.4271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4271","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4271v2","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4271","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"TQT7VNHIZUOO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TQT7VNHIZUOOQB6J","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TQT7VNHI","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:73072bf342117184cba9933cc6c01298331f10eeae9c9826d4b5ed04b27c5ab0","target":"graph","created_at":"2026-05-18T01:50:32Z","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"},"paper":{"abstract_excerpt":"In recent work we have developed a new unfolding method for computing one-loop modular integrals in string theory involving the Narain partition function and, possibly, a weak almost holomorphic elliptic genus. Unlike the traditional approach, the Narain lattice does not play any role in the unfolding procedure, T-duality is kept manifest at all steps, a choice of Weyl chamber is not required and the analytic structure of the amplitude is transparent. In the present paper, we generalise this procedure to the case of Abelian Z_N orbifolds, where the integrand decomposes into a sum of orbifold b","authors_text":"Boris Pioline, Carlo Angelantonj, Ioannis Florakis","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-15T21:16:52Z","title":"Rankin-Selberg methods for closed strings on orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4271","kind":"arxiv","version":2},"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:e052354f495a280bd898eef3a1c9c3afb970146ef3dcba4f4f19dfa93f4eb86b","target":"record","created_at":"2026-05-18T01:50:32Z","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":"739a9e2b2579bd1d576816c6d1164943aed6e4bbb0e27c19a74a040db5a4f149","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-15T21:16:52Z","title_canon_sha256":"6a29a0e77cdd82f79b14cd5076628e15f33553663ea80ec9031b6f41f4434046"},"schema_version":"1.0","source":{"id":"1304.4271","kind":"arxiv","version":2}},"canonical_sha256":"9c27fab4e8cd1ce807c9ec66548d6be5d615b2ffa89eb2e5f43c2b066db214d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c27fab4e8cd1ce807c9ec66548d6be5d615b2ffa89eb2e5f43c2b066db214d0","first_computed_at":"2026-05-18T01:50:32.439029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:32.439029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P2YhKHXHJ0ibet1hALpH6MMMblQnDrS9TOjXfKVLjXNkN0sTVARNwm4a8ylicAun6VWqM3nZLDOVdO6GYa9TAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:32.439864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e052354f495a280bd898eef3a1c9c3afb970146ef3dcba4f4f19dfa93f4eb86b","sha256:73072bf342117184cba9933cc6c01298331f10eeae9c9826d4b5ed04b27c5ab0"],"state_sha256":"6713285f32acb2b8d76156448768b47cb1b4774388498b28deda7d3d4ea5ce6a"}