{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CB5ZCEIHYSCO5LPRQJ363UUEPW","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":"e2102c15f3527eea2df53bc2edf811a21efc38bb0c2180108b1d1fd666fa2259","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-14T14:12:39Z","title_canon_sha256":"cdc97ecb69d47942c95f06d28700b3af88bbb406b139f6773b396eadb6646fcc"},"schema_version":"1.0","source":{"id":"2407.10212","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.10212","created_at":"2026-07-05T08:43:40Z"},{"alias_kind":"arxiv_version","alias_value":"2407.10212v1","created_at":"2026-07-05T08:43:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.10212","created_at":"2026-07-05T08:43:40Z"},{"alias_kind":"pith_short_12","alias_value":"CB5ZCEIHYSCO","created_at":"2026-07-05T08:43:40Z"},{"alias_kind":"pith_short_16","alias_value":"CB5ZCEIHYSCO5LPR","created_at":"2026-07-05T08:43:40Z"},{"alias_kind":"pith_short_8","alias_value":"CB5ZCEIH","created_at":"2026-07-05T08:43:40Z"}],"graph_snapshots":[{"event_id":"sha256:58f4cb30a1777a0c1b9de1e705e829f05067bfe36a0450221b1367280366cfc3","target":"graph","created_at":"2026-07-05T08:43:40Z","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/2407.10212/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We obtain a Llarull type scalar curvature rigidity for a general class of domains in a warped product. Also, we are able to address Gromov dihedral rigidity in hyperbolic space assuming matching angles.","authors_text":"Xiaoxiang Chai (POSTECH), Xueyuan Wan (CQUT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-14T14:12:39Z","title":"Scalar curvature rigidity of domains in a warped product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.10212","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:dacd2ae61e296248fc60406921f74b62048a52acceaad35e6a6e210975d169c3","target":"record","created_at":"2026-07-05T08:43:40Z","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":"e2102c15f3527eea2df53bc2edf811a21efc38bb0c2180108b1d1fd666fa2259","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-14T14:12:39Z","title_canon_sha256":"cdc97ecb69d47942c95f06d28700b3af88bbb406b139f6773b396eadb6646fcc"},"schema_version":"1.0","source":{"id":"2407.10212","kind":"arxiv","version":1}},"canonical_sha256":"107b911107c484eeadf18277edd2847d9f242a08b9ddda42f72e60f9cbf3d5cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"107b911107c484eeadf18277edd2847d9f242a08b9ddda42f72e60f9cbf3d5cd","first_computed_at":"2026-07-05T08:43:40.723445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:43:40.723445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fb4Pfnx4gEc4/sF+ktOAhDmn2pnXjqWlkm/fauOgaoiOrDSMP6pYZoYXOjMQit5lXwhgWb9hCt7TuKoQBhO1DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:43:40.723796Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.10212","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dacd2ae61e296248fc60406921f74b62048a52acceaad35e6a6e210975d169c3","sha256:58f4cb30a1777a0c1b9de1e705e829f05067bfe36a0450221b1367280366cfc3"],"state_sha256":"929dc9f00130e27fa05463acddb73daf8106294d2da635a411fe0bebf517dee0"}