{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AOAKVHWHFKNVIBFDOU2X34YYTX","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":"b94b4513b0b46c0e5564d355bb346a285b2424b0b2407883e5b725628842a598","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-17T09:36:36Z","title_canon_sha256":"38c6ee9365d08c4b6ac6203b424f07b66f7760ad4612786f98e8e64d9056a877"},"schema_version":"1.0","source":{"id":"1710.06184","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06184","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06184v3","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06184","created_at":"2026-05-18T00:19:08Z"},{"alias_kind":"pith_short_12","alias_value":"AOAKVHWHFKNV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AOAKVHWHFKNVIBFD","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AOAKVHWH","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:8a17b0e27a76284d553b468509fab5420d39cf69ca20a30e796190065fc0a37c","target":"graph","created_at":"2026-05-18T00:19:08Z","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":"The phase transitions are studied for the D-brane systems with multiple open-string moduli in terms of toric geometry: between the parallel D-brane phase corresponding to the Coulomb branch and the coincident phase corresponding to the Higgs branch. The two separated D-branes on compact Calabi-Yau 3-fold coincide developing the geometric singularity in the corresponding F-theory Calabi-Yau 4-fold in terms of TypeII/F theory duality, and the enhancement of gauge group $U(1)\\times U(1)\\rightarrow SU(2)$ in terms of gauge theory. For several D-brane system with various closed-string moduli, using","authors_text":"Fu-Zhong Yang, Xiao-Tian Jiang","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-17T09:36:36Z","title":"D-brane superpotentials, SU(2) Ooguri-Vafa invariants and TypeII/F -theory duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06184","kind":"arxiv","version":3},"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":"sha256:59f5765982bd9fcee0cc5a535b85e533291712b32ede0d3a327c38b3ee40c759","target":"record","created_at":"2026-05-18T00:19:08Z","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":"b94b4513b0b46c0e5564d355bb346a285b2424b0b2407883e5b725628842a598","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-17T09:36:36Z","title_canon_sha256":"38c6ee9365d08c4b6ac6203b424f07b66f7760ad4612786f98e8e64d9056a877"},"schema_version":"1.0","source":{"id":"1710.06184","kind":"arxiv","version":3}},"canonical_sha256":"0380aa9ec72a9b5404a375357df3189dd524a970b4d172530d48d76d6bf1472d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0380aa9ec72a9b5404a375357df3189dd524a970b4d172530d48d76d6bf1472d","first_computed_at":"2026-05-18T00:19:08.658038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:08.658038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mI97Q/A+d2cYRs0SHsuLKg9pLQ+ZLHmUdGUCkYKIymW5P1ylG/5ndo3V7wNE6g6rMp8LAerT6BdXTqHexHIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:08.658792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06184","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59f5765982bd9fcee0cc5a535b85e533291712b32ede0d3a327c38b3ee40c759","sha256:8a17b0e27a76284d553b468509fab5420d39cf69ca20a30e796190065fc0a37c"],"state_sha256":"8388df7fc72c37c7f2ddd2c9eba8f8a9b986d8fae969325b40d5c6ca3a5fb9c2"}