{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:64KI5KE7WHCNHFKZK6GVZ44UNJ","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":"d9e0ce22e6b837278f3b417e135f78b59035b7855a84216362e4d318ba3adfd6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T07:09:59Z","title_canon_sha256":"7b66deca83aba687968b01c73684cfc37d1f558cfa3ec0e426d43909d0d5ef43"},"schema_version":"1.0","source":{"id":"2606.17602","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17602","created_at":"2026-06-19T16:10:17Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17602v1","created_at":"2026-06-19T16:10:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17602","created_at":"2026-06-19T16:10:17Z"},{"alias_kind":"pith_short_12","alias_value":"64KI5KE7WHCN","created_at":"2026-06-19T16:10:17Z"},{"alias_kind":"pith_short_16","alias_value":"64KI5KE7WHCNHFKZ","created_at":"2026-06-19T16:10:17Z"},{"alias_kind":"pith_short_8","alias_value":"64KI5KE7","created_at":"2026-06-19T16:10:17Z"}],"graph_snapshots":[{"event_id":"sha256:d5cfd206fe6bba990e2f399f0b6e34e098672cc857ef46c305d041af0eacc59d","target":"graph","created_at":"2026-06-19T16:10:17Z","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/2606.17602/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the one-loop torus vacuum of Type IIB Superstring theory through sector-resolved modular integrals. Building on the i\\varepsilon-prescription and the E_s-regularized modular-integral framework of Manschot and Wang [1], we construct regularized sector functionals for the closed oriented torus before the final GSO projection. The construction keeps the unprojected spin-sector data explicit and fixes the compact-domain and cusp contributions within a single modular prescription. We also independently cross-check the result with the Lorentzian-inversion reconstruction of modular integrals","authors_text":"Thomas Junkai Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T07:09:59Z","title":"Lorentzian Regularization of the Type IIB Superstring Torus Vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17602","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:d97f5fcf8172db1de727c3596e8b1e0d12f96d0e1496a6449a7e89602b0230d4","target":"record","created_at":"2026-06-19T16:10:17Z","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":"d9e0ce22e6b837278f3b417e135f78b59035b7855a84216362e4d318ba3adfd6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T07:09:59Z","title_canon_sha256":"7b66deca83aba687968b01c73684cfc37d1f558cfa3ec0e426d43909d0d5ef43"},"schema_version":"1.0","source":{"id":"2606.17602","kind":"arxiv","version":1}},"canonical_sha256":"f7148ea89fb1c4d39559578d5cf3946a6a8f69d3bd1f211583289b1ba66946e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7148ea89fb1c4d39559578d5cf3946a6a8f69d3bd1f211583289b1ba66946e8","first_computed_at":"2026-06-19T16:10:17.041503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:17.041503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RoEJF/W1TAa+cCXpQaNsY073UVfOeYKD1fmA9pnqYZ37wnEpafieMFgM52q0DGrjEsOTji/vg5LhDEMs3jIDw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:17.041826Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17602","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d97f5fcf8172db1de727c3596e8b1e0d12f96d0e1496a6449a7e89602b0230d4","sha256:d5cfd206fe6bba990e2f399f0b6e34e098672cc857ef46c305d041af0eacc59d"],"state_sha256":"c8c8beec104857a73720db3db5e2285000f303e76d97f6a66aabcfe503566c9f"}