{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6OAQHNLWJ7ABUXAANEIA6EZZOA","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":"957955a7f830a1dc4f2c8aabdaac4c0d0ddbe68f59096f387a0dfe53e8b2a2c6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-01-12T19:00:39Z","title_canon_sha256":"b3e77da3b0882cd3347e23e834256bfddeaa610fad2d14a48209711f2ea4e675"},"schema_version":"1.0","source":{"id":"2601.07927","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.07927","created_at":"2026-07-21T01:20:41Z"},{"alias_kind":"arxiv_version","alias_value":"2601.07927v4","created_at":"2026-07-21T01:20:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.07927","created_at":"2026-07-21T01:20:41Z"},{"alias_kind":"pith_short_12","alias_value":"6OAQHNLWJ7AB","created_at":"2026-07-21T01:20:41Z"},{"alias_kind":"pith_short_16","alias_value":"6OAQHNLWJ7ABUXAA","created_at":"2026-07-21T01:20:41Z"},{"alias_kind":"pith_short_8","alias_value":"6OAQHNLW","created_at":"2026-07-21T01:20:41Z"}],"graph_snapshots":[{"event_id":"sha256:7402ef0a776cc9b600ad3bd33cf54d5b6a85cafa2763a8bf0d5fe62d4f703216","target":"graph","created_at":"2026-07-21T01:20:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2601.07927/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present a unified computational framework to analyze the microscopic vacuum structure of 4-charge extremal black holes in Type IIA string theory, applying techniques from computational algebraic geometry and numerical topology to their pure D-brane effective quantum mechanics. We apply this approach to two physically distinct configurations. First, in the supersymmetric sector, we compute the $14^{\\text{th}}$ helicity trace index of $\\frac{1}{8}$-BPS, $N=8$, D2-D2-D2-D6 configurations dual to D1-D5-P-KK monopole dyonic black holes. Extending previous work to higher charges, w","authors_text":"Abhishek Chowdhury, Sourav Maji","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-01-12T19:00:39Z","title":"Pure D-brane Black Holes: BPS Counting and non-BPS Vacua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.07927","kind":"arxiv","version":4},"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:bc04a66374cbad8657b71df4d2d14030f85fa8b53ff135a43d3e61e0e3dcec0e","target":"record","created_at":"2026-07-21T01:20:41Z","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":"957955a7f830a1dc4f2c8aabdaac4c0d0ddbe68f59096f387a0dfe53e8b2a2c6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-01-12T19:00:39Z","title_canon_sha256":"b3e77da3b0882cd3347e23e834256bfddeaa610fad2d14a48209711f2ea4e675"},"schema_version":"1.0","source":{"id":"2601.07927","kind":"arxiv","version":4}},"canonical_sha256":"f38103b5764fc01a5c0069100f1339702abbaf5676c51c30fd084e494ed0df8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f38103b5764fc01a5c0069100f1339702abbaf5676c51c30fd084e494ed0df8e","first_computed_at":"2026-07-21T01:20:41.853284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:20:41.853284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3+0faoJlLvGfD3rB6kmo6cwEBUIuTYzy7vQU0T6/v3G3fTEeyXvNPR9WfbPn5P6mMqZbmIiJgbyewjPLITJRAA==","signature_status":"signed_v1","signed_at":"2026-07-21T01:20:41.854535Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.07927","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc04a66374cbad8657b71df4d2d14030f85fa8b53ff135a43d3e61e0e3dcec0e","sha256:7402ef0a776cc9b600ad3bd33cf54d5b6a85cafa2763a8bf0d5fe62d4f703216"],"state_sha256":"011e30172d3a237b38111b2c99e4ea6fcfb74165f25b76dad8e9b49e31fb1c11"}