{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7NSZMRDZD4FYQD52HDYEKPLHLE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"92ce60eb8990be1ef3a7be1deae0faba2249aaa27f6d0037994aa1050297b187","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-18T23:06:25Z","title_canon_sha256":"b80c9554132429b69c10d5bb1af401459cadcf15483e423fa3798d7bebf93172"},"schema_version":"1.0","source":{"id":"hep-th/0702146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0702146","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0702146v2","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0702146","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"7NSZMRDZD4FY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"7NSZMRDZD4FYQD52","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"7NSZMRDZ","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:1a559deddc39f1e5fa95fe94e0cf39201c66440545b0c6c1ec1e21822f2b2f03","target":"graph","created_at":"2026-05-18T01:38:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate degeneracies of BPS states of D-branes on compact Calabi-Yau manifolds. We develop a factorization formula for BPS indices using attractor flow trees associated to multicentered black hole bound states. This enables us to study background dependence of the BPS spectrum, to compute explicitly exact indices of various nontrivial D-brane systems, and to clarify the subtle relation of Donaldson-Thomas invariants to BPS indices of stable D6-D2-D0 states, realized in supergravity as \"hole halos\". We introduce a convergent generating function for D4 indices in the large CY volume limit","authors_text":"Frederik Denef, Gregory W. Moore","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-02-18T23:06:25Z","title":"Split States, Entropy Enigmas, Holes and Halos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0702146","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:986643a85c2527e44b7b11a3b7a32d2374ad24c5536080fe2f439ac541a505e6","target":"record","created_at":"2026-05-18T01:38:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"92ce60eb8990be1ef3a7be1deae0faba2249aaa27f6d0037994aa1050297b187","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-18T23:06:25Z","title_canon_sha256":"b80c9554132429b69c10d5bb1af401459cadcf15483e423fa3798d7bebf93172"},"schema_version":"1.0","source":{"id":"hep-th/0702146","kind":"arxiv","version":2}},"canonical_sha256":"fb659644791f0b880fba38f0453d675919ee8ccc8fd10091b83337069bfa4651","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb659644791f0b880fba38f0453d675919ee8ccc8fd10091b83337069bfa4651","first_computed_at":"2026-05-18T01:38:45.265829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.265829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcroN0cOuNj9THn4qtJ/jI6BNQmOEcZ0ZxMOzlr9shmsoNtE9A2vwegd3XUrdyg2bZRsQ5OP5AqcFQ4cTsFyBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.266207Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0702146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:986643a85c2527e44b7b11a3b7a32d2374ad24c5536080fe2f439ac541a505e6","sha256:1a559deddc39f1e5fa95fe94e0cf39201c66440545b0c6c1ec1e21822f2b2f03"],"state_sha256":"f82ac91ac9dfaaea9155964f55814765a35fe03ede9033312de5f77ad0b2b514"}