{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VCCVKAIS4NTBUK3COW4E6P2FXF","short_pith_number":"pith:VCCVKAIS","schema_version":"1.0","canonical_sha256":"a885550112e3661a2b6275b84f3f45b964df034ee790b9cadf93de7d82124138","source":{"kind":"arxiv","id":"1308.0619","version":1},"attestation_state":"computed","paper":{"title":"Refined stable pair invariants for E-, M- and [p,q]-strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Maximilian Poretschkin, Min-xin Huang","submitted_at":"2013-08-02T21:08:03Z","abstract_excerpt":"We use mirror symmetry, the refined holomorphic anomaly equation and modularity properties of elliptic singularities to calculate the refined BPS invariants of stable pairs on non-compact Calabi-Yau manifolds, based on del Pezzo surfaces and elliptic surfaces, in particular the half K3. The BPS numbers contribute naturally to the five-dimensional N=1 supersymmetric index of M-theory, but they can be also interpreted in terms of the superconformal index in six dimensions and upon dimensional reduction the generating functions count N=2 Seiberg-Witten gauge theory instantons in four dimensions. "},"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":"1308.0619","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-02T21:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"3b23944a58a57197a84f3118bddbc2fdd535e186b91752cfe057cbf50a0f4390","abstract_canon_sha256":"f03339c60e7ddb0041c6cab4c76c10310b1961e7785f581a6a49614ac52d4e9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:24.396778Z","signature_b64":"z5sWb7F+dlf9TTYnorpgxAyK+M0UJt0oa8W7iE0ZRKy8HH06hkuCPcED3DB4lNjBr0XBdVZvNrkJnC3e1Q5oAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a885550112e3661a2b6275b84f3f45b964df034ee790b9cadf93de7d82124138","last_reissued_at":"2026-05-18T01:48:24.396093Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:24.396093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Refined stable pair invariants for E-, M- and [p,q]-strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Maximilian Poretschkin, Min-xin Huang","submitted_at":"2013-08-02T21:08:03Z","abstract_excerpt":"We use mirror symmetry, the refined holomorphic anomaly equation and modularity properties of elliptic singularities to calculate the refined BPS invariants of stable pairs on non-compact Calabi-Yau manifolds, based on del Pezzo surfaces and elliptic surfaces, in particular the half K3. The BPS numbers contribute naturally to the five-dimensional N=1 supersymmetric index of M-theory, but they can be also interpreted in terms of the superconformal index in six dimensions and upon dimensional reduction the generating functions count N=2 Seiberg-Witten gauge theory instantons in four dimensions. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0619","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":"1308.0619","created_at":"2026-05-18T01:48:24.396180+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.0619v1","created_at":"2026-05-18T01:48:24.396180+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0619","created_at":"2026-05-18T01:48:24.396180+00:00"},{"alias_kind":"pith_short_12","alias_value":"VCCVKAIS4NTB","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VCCVKAIS4NTBUK3C","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VCCVKAIS","created_at":"2026-05-18T12:28:04.890932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.07680","citing_title":"BPS Dendroscopy on Local $\\mathbb{P}^1\\times \\mathbb{P}^1$","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF","json":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF.json","graph_json":"https://pith.science/api/pith-number/VCCVKAIS4NTBUK3COW4E6P2FXF/graph.json","events_json":"https://pith.science/api/pith-number/VCCVKAIS4NTBUK3COW4E6P2FXF/events.json","paper":"https://pith.science/paper/VCCVKAIS"},"agent_actions":{"view_html":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF","download_json":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF.json","view_paper":"https://pith.science/paper/VCCVKAIS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.0619&json=true","fetch_graph":"https://pith.science/api/pith-number/VCCVKAIS4NTBUK3COW4E6P2FXF/graph.json","fetch_events":"https://pith.science/api/pith-number/VCCVKAIS4NTBUK3COW4E6P2FXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF/action/storage_attestation","attest_author":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF/action/author_attestation","sign_citation":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF/action/citation_signature","submit_replication":"https://pith.science/pith/VCCVKAIS4NTBUK3COW4E6P2FXF/action/replication_record"}},"created_at":"2026-05-18T01:48:24.396180+00:00","updated_at":"2026-05-18T01:48:24.396180+00:00"}