{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7RDE4QPHBFXRX6MIHFVSMMXHMZ","short_pith_number":"pith:7RDE4QPH","schema_version":"1.0","canonical_sha256":"fc464e41e7096f1bf988396b2632e7667f46c4a15b881e93338844c6712081b8","source":{"kind":"arxiv","id":"1212.2196","version":1},"attestation_state":"computed","paper":{"title":"Intersection spaces, perverse sheaves and type IIB string theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Laurentiu Maxim, Markus Banagl, Nero Budur","submitted_at":"2012-12-10T20:46:19Z","abstract_excerpt":"The method of intersection spaces associates rational Poincar\\'e complexes to singular stratified spaces. For a conifold transition, the resulting cohomology theory yields the correct count of all present massless 3-branes in type IIB string theory, while intersection cohomology yields the correct count of massless 2-branes in type IIA theory. For complex projective hypersurfaces with an isolated singularity, we show that the cohomology of intersection spaces is the hypercohomology of a perverse sheaf, the intersection space complex, on the hypersurface. Moreover, the intersection space comple"},"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":"1212.2196","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-10T20:46:19Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"a9b107fd8beaeaf56122803395423c4195afa901724677e1a5d370711eb86aa3","abstract_canon_sha256":"ac8e1ef0bc3a59fdc91ac96e3e3a96f06eacb3157b0379642cc5e07ebc49d7b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:18.554625Z","signature_b64":"+oU+96QrdaYXjy+V84BzNVDy5hwoZBfPducswURxvf4427XitziO/2KBI5u0bKu1o4D9OepouMAmkGspNOnQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc464e41e7096f1bf988396b2632e7667f46c4a15b881e93338844c6712081b8","last_reissued_at":"2026-05-18T01:14:18.553982Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:18.553982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intersection spaces, perverse sheaves and type IIB string theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Laurentiu Maxim, Markus Banagl, Nero Budur","submitted_at":"2012-12-10T20:46:19Z","abstract_excerpt":"The method of intersection spaces associates rational Poincar\\'e complexes to singular stratified spaces. For a conifold transition, the resulting cohomology theory yields the correct count of all present massless 3-branes in type IIB string theory, while intersection cohomology yields the correct count of massless 2-branes in type IIA theory. For complex projective hypersurfaces with an isolated singularity, we show that the cohomology of intersection spaces is the hypercohomology of a perverse sheaf, the intersection space complex, on the hypersurface. Moreover, the intersection space comple"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2196","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":"1212.2196","created_at":"2026-05-18T01:14:18.554079+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.2196v1","created_at":"2026-05-18T01:14:18.554079+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2196","created_at":"2026-05-18T01:14:18.554079+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RDE4QPHBFXR","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RDE4QPHBFXRX6MI","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RDE4QPH","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.01455","citing_title":"Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16055","citing_title":"Cycle Relations and Global Gluing in Multi-Node Conifold Degenerations","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ","json":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ.json","graph_json":"https://pith.science/api/pith-number/7RDE4QPHBFXRX6MIHFVSMMXHMZ/graph.json","events_json":"https://pith.science/api/pith-number/7RDE4QPHBFXRX6MIHFVSMMXHMZ/events.json","paper":"https://pith.science/paper/7RDE4QPH"},"agent_actions":{"view_html":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ","download_json":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ.json","view_paper":"https://pith.science/paper/7RDE4QPH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.2196&json=true","fetch_graph":"https://pith.science/api/pith-number/7RDE4QPHBFXRX6MIHFVSMMXHMZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7RDE4QPHBFXRX6MIHFVSMMXHMZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ/action/storage_attestation","attest_author":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ/action/author_attestation","sign_citation":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ/action/citation_signature","submit_replication":"https://pith.science/pith/7RDE4QPHBFXRX6MIHFVSMMXHMZ/action/replication_record"}},"created_at":"2026-05-18T01:14:18.554079+00:00","updated_at":"2026-05-18T01:14:18.554079+00:00"}