{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:ZHE6TSL2BSMLOY24VSQMJ3BHQY","short_pith_number":"pith:ZHE6TSL2","schema_version":"1.0","canonical_sha256":"c9c9e9c97a0c98b7635caca0c4ec27862472fc36cb7e139341a3359b37f5ad21","source":{"kind":"arxiv","id":"hep-th/9903163","version":2},"attestation_state":"computed","paper":{"title":"Counting BPS Blackholes in Toroidal Type II String Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Gregory Moore, Juan Maldacena","submitted_at":"1999-03-18T22:52:14Z","abstract_excerpt":"We derive a $U$-duality invariant formula for the degeneracies of BPS multiplets in a D1-D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition function involving two insertions of the fermion number operator. This is possible due to four extra toroidal U(1) symmetries arising from a Wigner contraction of a large $\\mathcal{N}=4$ algebra $\\mathcal{A}_{\\kappa,\\kappa'}$ for $\\kappa' \\to \\infty$. We also compare the answer with a counting formula de"},"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/9903163","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-03-18T22:52:14Z","cross_cats_sorted":[],"title_canon_sha256":"99f8b508f94615abc433a4c6e6a0d16fc1e9628aad11c2039d26e86e14b954cd","abstract_canon_sha256":"4a15e115c8142d45ce59d68cd9941da6c14b6f62d15a8eb4ff3362b50edfaf93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:53.825883Z","signature_b64":"ITrXt1ytlxs6mSAQRThH2UWtrUIM+SikMcdiTxwh14TgkppefcoGOJkptzLj2roGwgyC15f/CScU62wsHVBpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9c9e9c97a0c98b7635caca0c4ec27862472fc36cb7e139341a3359b37f5ad21","last_reissued_at":"2026-05-18T00:35:53.825457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:53.825457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting BPS Blackholes in Toroidal Type II String Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Gregory Moore, Juan Maldacena","submitted_at":"1999-03-18T22:52:14Z","abstract_excerpt":"We derive a $U$-duality invariant formula for the degeneracies of BPS multiplets in a D1-D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition function involving two insertions of the fermion number operator. This is possible due to four extra toroidal U(1) symmetries arising from a Wigner contraction of a large $\\mathcal{N}=4$ algebra $\\mathcal{A}_{\\kappa,\\kappa'}$ for $\\kappa' \\to \\infty$. We also compare the answer with a counting formula de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9903163","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/9903163","created_at":"2026-05-18T00:35:53.825515+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9903163v2","created_at":"2026-05-18T00:35:53.825515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9903163","created_at":"2026-05-18T00:35:53.825515+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHE6TSL2BSML","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHE6TSL2BSMLOY24","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHE6TSL2","created_at":"2026-05-18T12:25:49.631198+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.18138","citing_title":"The Resolved Elliptic Genus and the D1-D5 CFT","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2604.23287","citing_title":"Chaos of Berry curvature for BPS microstates","ref_index":96,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20663","citing_title":"Towering Gravitons in AdS$_3$/CFT$_2$","ref_index":7,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY","json":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY.json","graph_json":"https://pith.science/api/pith-number/ZHE6TSL2BSMLOY24VSQMJ3BHQY/graph.json","events_json":"https://pith.science/api/pith-number/ZHE6TSL2BSMLOY24VSQMJ3BHQY/events.json","paper":"https://pith.science/paper/ZHE6TSL2"},"agent_actions":{"view_html":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY","download_json":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY.json","view_paper":"https://pith.science/paper/ZHE6TSL2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9903163&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHE6TSL2BSMLOY24VSQMJ3BHQY/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHE6TSL2BSMLOY24VSQMJ3BHQY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY/action/storage_attestation","attest_author":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY/action/author_attestation","sign_citation":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY/action/citation_signature","submit_replication":"https://pith.science/pith/ZHE6TSL2BSMLOY24VSQMJ3BHQY/action/replication_record"}},"created_at":"2026-05-18T00:35:53.825515+00:00","updated_at":"2026-05-18T00:35:53.825515+00:00"}