{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:TFQGFYUTPVA2G2D5JMLKOMZ4BR","short_pith_number":"pith:TFQGFYUT","schema_version":"1.0","canonical_sha256":"996062e2937d41a3687d4b16a7333c0c581845131445af814cc68758bcbeb5af","source":{"kind":"arxiv","id":"hep-th/9609017","version":2},"attestation_state":"computed","paper":{"title":"On the algebras of BPS states","license":"","headline":"","cross_cats":["alg-geom","math.AG"],"primary_cat":"hep-th","authors_text":"Gregory Moore, Jeffrey A. Harvey","submitted_at":"1996-09-01T22:20:04Z","abstract_excerpt":"We define an algebra on the space of BPS states in theories with extended supersymmetry. We show that the algebra of perturbative BPS states in toroidal compactification of the heterotic string is closely related to a generalized Kac-Moody algebra. We use D-brane theory to compare the formulation of RR-charged BPS algebras in type II compactification with the requirements of string/string duality and find that the RR charged BPS states should be regarded as cohomology classes on moduli spaces of coherent sheaves. The equivalence of the algebra of BPS states in heterotic/IIA dual pairs elucidat"},"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":"hep-th/9609017","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-09-01T22:20:04Z","cross_cats_sorted":["alg-geom","math.AG"],"title_canon_sha256":"3fef9e5f218d68597d58e28c690ae7bb3e341cf82e39479ae29ee84931055cd5","abstract_canon_sha256":"dbaacbc88bc196b8510d69a9c52f8af19963542d1efa4512fb33d4952499d465"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:16.476100Z","signature_b64":"X0F+KRQiPNnWCrY0MBxF2s83EutFNxIjMj2u0Ps0JwuLRA7fNKOIV/YEqi4HHULJhhzExwmr9zPfJr1SYfN5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"996062e2937d41a3687d4b16a7333c0c581845131445af814cc68758bcbeb5af","last_reissued_at":"2026-05-18T04:35:16.475429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:16.475429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the algebras of BPS states","license":"","headline":"","cross_cats":["alg-geom","math.AG"],"primary_cat":"hep-th","authors_text":"Gregory Moore, Jeffrey A. Harvey","submitted_at":"1996-09-01T22:20:04Z","abstract_excerpt":"We define an algebra on the space of BPS states in theories with extended supersymmetry. We show that the algebra of perturbative BPS states in toroidal compactification of the heterotic string is closely related to a generalized Kac-Moody algebra. We use D-brane theory to compare the formulation of RR-charged BPS algebras in type II compactification with the requirements of string/string duality and find that the RR charged BPS states should be regarded as cohomology classes on moduli spaces of coherent sheaves. The equivalence of the algebra of BPS states in heterotic/IIA dual pairs elucidat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9609017","kind":"arxiv","version":2},"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":"hep-th/9609017","created_at":"2026-05-18T04:35:16.475513+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9609017v2","created_at":"2026-05-18T04:35:16.475513+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9609017","created_at":"2026-05-18T04:35:16.475513+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFQGFYUTPVA2","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFQGFYUTPVA2G2D5","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFQGFYUT","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.07758","citing_title":"Charge functions for odd dimensional partitions","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR","json":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR.json","graph_json":"https://pith.science/api/pith-number/TFQGFYUTPVA2G2D5JMLKOMZ4BR/graph.json","events_json":"https://pith.science/api/pith-number/TFQGFYUTPVA2G2D5JMLKOMZ4BR/events.json","paper":"https://pith.science/paper/TFQGFYUT"},"agent_actions":{"view_html":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR","download_json":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR.json","view_paper":"https://pith.science/paper/TFQGFYUT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9609017&json=true","fetch_graph":"https://pith.science/api/pith-number/TFQGFYUTPVA2G2D5JMLKOMZ4BR/graph.json","fetch_events":"https://pith.science/api/pith-number/TFQGFYUTPVA2G2D5JMLKOMZ4BR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR/action/storage_attestation","attest_author":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR/action/author_attestation","sign_citation":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR/action/citation_signature","submit_replication":"https://pith.science/pith/TFQGFYUTPVA2G2D5JMLKOMZ4BR/action/replication_record"}},"created_at":"2026-05-18T04:35:16.475513+00:00","updated_at":"2026-05-18T04:35:16.475513+00:00"}