{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JPOPBVDJGGDIO7I3QBF5F6FNMJ","short_pith_number":"pith:JPOPBVDJ","schema_version":"1.0","canonical_sha256":"4bdcf0d4693186877d1b804bd2f8ad6250e8ff2d8452e992a7894994596c99d1","source":{"kind":"arxiv","id":"1306.5765","version":1},"attestation_state":"computed","paper":{"title":"Index theory and dynamical symmetry enhancement near IIB horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"G. Papadopoulos, J. Gutowski, U. Gran","submitted_at":"2013-06-24T20:11:18Z","abstract_excerpt":"We show that the number of supersymmetries of IIB black hole horizons is N=2 N_- + 2 index(D_\\lambda), where index(D_\\lambda) is the index of the Dirac operator twisted with the line bundle \\lambda^{1/2} of IIB scalars, and N_- is the dimension of the kernel of a horizon Dirac operator which depends on IIB fluxes. Therefore, all IIB horizons preserve an even number of supersymmetries. In addition if the horizons have non-trivial fluxes and N_- is nonzero, then index(D_\\lambda) is non-negative, and the horizons admit an sl(2,R) symmetry subalgebra. This provides evidence that all such horizons "},"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":"1306.5765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T20:11:18Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3f0d680f5dcacf7b886b715b75091c91a657b6007e199e5ac8dcb40544c9e792","abstract_canon_sha256":"ca352d74f41d3f612be48d8d624d2c8cd069f05bbb7903096921b71afec4bbae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:08.432834Z","signature_b64":"KMRAsB/AqyIjDYKS/MlDZ7amx1dO8K2EMu57JAYdBKdc4yHddSYXNHKQFTvTOZ1mPIO1PsaLzCzAzZ27UNxvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bdcf0d4693186877d1b804bd2f8ad6250e8ff2d8452e992a7894994596c99d1","last_reissued_at":"2026-05-18T01:49:08.432353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:08.432353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Index theory and dynamical symmetry enhancement near IIB horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"G. Papadopoulos, J. Gutowski, U. Gran","submitted_at":"2013-06-24T20:11:18Z","abstract_excerpt":"We show that the number of supersymmetries of IIB black hole horizons is N=2 N_- + 2 index(D_\\lambda), where index(D_\\lambda) is the index of the Dirac operator twisted with the line bundle \\lambda^{1/2} of IIB scalars, and N_- is the dimension of the kernel of a horizon Dirac operator which depends on IIB fluxes. Therefore, all IIB horizons preserve an even number of supersymmetries. In addition if the horizons have non-trivial fluxes and N_- is nonzero, then index(D_\\lambda) is non-negative, and the horizons admit an sl(2,R) symmetry subalgebra. This provides evidence that all such horizons "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5765","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":""},"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":"1306.5765","created_at":"2026-05-18T01:49:08.432425+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.5765v1","created_at":"2026-05-18T01:49:08.432425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5765","created_at":"2026-05-18T01:49:08.432425+00:00"},{"alias_kind":"pith_short_12","alias_value":"JPOPBVDJGGDI","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JPOPBVDJGGDIO7I3","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JPOPBVDJ","created_at":"2026-05-18T12:27:49.015174+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/JPOPBVDJGGDIO7I3QBF5F6FNMJ","json":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ.json","graph_json":"https://pith.science/api/pith-number/JPOPBVDJGGDIO7I3QBF5F6FNMJ/graph.json","events_json":"https://pith.science/api/pith-number/JPOPBVDJGGDIO7I3QBF5F6FNMJ/events.json","paper":"https://pith.science/paper/JPOPBVDJ"},"agent_actions":{"view_html":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ","download_json":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ.json","view_paper":"https://pith.science/paper/JPOPBVDJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.5765&json=true","fetch_graph":"https://pith.science/api/pith-number/JPOPBVDJGGDIO7I3QBF5F6FNMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/JPOPBVDJGGDIO7I3QBF5F6FNMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ/action/storage_attestation","attest_author":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ/action/author_attestation","sign_citation":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ/action/citation_signature","submit_replication":"https://pith.science/pith/JPOPBVDJGGDIO7I3QBF5F6FNMJ/action/replication_record"}},"created_at":"2026-05-18T01:49:08.432425+00:00","updated_at":"2026-05-18T01:49:08.432425+00:00"}