{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:VU7XIQRXZU62EKLGVDROEFWBWU","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":"c125c1ea3981b907804753209f63f579cfda40237ac57162dffd186ef5deb5b8","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-16T21:52:31Z","title_canon_sha256":"1376af5157b20cf725f6af49e97f244f87778e0b153cd5218a87670378aa0561"},"schema_version":"1.0","source":{"id":"hep-th/9807117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807117","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807117v1","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807117","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_12","alias_value":"VU7XIQRXZU62","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_16","alias_value":"VU7XIQRXZU62EKLG","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_8","alias_value":"VU7XIQRX","created_at":"2026-07-04T16:09:51Z"}],"graph_snapshots":[{"event_id":"sha256:b5e8bc78e53d686dcf811579a6afd5885c16d7e635eb77bc9d85a4e8138ef4f0","target":"graph","created_at":"2026-07-04T16:09:51Z","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/hep-th/9807117/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent paper DeWolfe et al. have shown how to use the self-intersection number of junctions to constrain the BPS spectrum of N=2, D=4 theories with ADE flavor symmetry arising on a single D3-brane probe in a 7-brane background. Motivated by the existence of more general N=2, D=4 theories arising on the worldvolume of multiple D3-brane probes we show how to compute the self-intersection number of junctions in the presence of 7-branes and multiple D3-branes.","authors_text":"Amer Iqbal","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-07-16T21:52:31Z","title":"Self-Intersection Number of BPS Junctions in Backgrounds of Three and Seven-Branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807117","kind":"arxiv","version":1},"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":"sha256:79f2fbc32d99b76fa34d78e9a2c5e8542457d12ef9b8638e40a9042e7b00dea9","target":"record","created_at":"2026-07-04T16:09:51Z","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":"c125c1ea3981b907804753209f63f579cfda40237ac57162dffd186ef5deb5b8","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-16T21:52:31Z","title_canon_sha256":"1376af5157b20cf725f6af49e97f244f87778e0b153cd5218a87670378aa0561"},"schema_version":"1.0","source":{"id":"hep-th/9807117","kind":"arxiv","version":1}},"canonical_sha256":"ad3f744237cd3da22966a8e2e216c1b5223c85c0fe4ce5dca03d1984ab37a35a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad3f744237cd3da22966a8e2e216c1b5223c85c0fe4ce5dca03d1984ab37a35a","first_computed_at":"2026-07-04T16:09:51.733128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:09:51.733128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lxul3/Inaw0RAT6/B831R6xOZEJzgj9kvp74fkTAnivyXpkqqiknBy0vW1HAB/G0FqPI7pJuE9Qh/izjqT7QCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:09:51.733473Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9807117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79f2fbc32d99b76fa34d78e9a2c5e8542457d12ef9b8638e40a9042e7b00dea9","sha256:b5e8bc78e53d686dcf811579a6afd5885c16d7e635eb77bc9d85a4e8138ef4f0"],"state_sha256":"8c2d677a9877ef86bb1eae6a09b36de77605a5e35175ef2b7c13f6e9b234dd71"}