{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7OGG6DEYXMOJHKZVJHVKGDDRSH","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":"6e7582243d49114487fd0c2a945a3437fdcde38a7d5508c68d7f76270e93c3ee","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-23T13:17:24Z","title_canon_sha256":"c350f5b3824104e055bc036ee2d722cdd2ae3c413ecf220b494ffba72b4ff46b"},"schema_version":"1.0","source":{"id":"1204.5054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5054","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5054v2","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5054","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"7OGG6DEYXMOJ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7OGG6DEYXMOJHKZV","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7OGG6DEY","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:4bf1458b508dfd9a02f5d04c89ac70a19c2e8ab6b478513da328a809f584f598","target":"graph","created_at":"2026-05-18T03:35:02Z","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 examine the phase structure and the critical processes of the spectral curves that arise in the study of large N dualities between supersymmetric Yang-Mills theories and string models on local Calabi-Yau manifolds. These spectral curves are determined by a set of complex partial 't Hooft parameters and a system of cuts given by projections on the spectral curve of minimal supersymmetric cycles of the underlying Calabi-Yau manifold. Using a combination of analytical and numerical methods we give a complete description of the one-cut phase in the cubic model, determine the analytic condition ","authors_text":"Elena Medina, Gabriel \\'Alvarez, Luis Mart\\'inez Alonso","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-23T13:17:24Z","title":"Phase structure and critical processes of spectral curves in large N dualities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5054","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:fcb59c1780a23c90cc82a05a9a20a14006bb476e8b576ced2a93a64e2be56d53","target":"record","created_at":"2026-05-18T03:35:02Z","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":"6e7582243d49114487fd0c2a945a3437fdcde38a7d5508c68d7f76270e93c3ee","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-23T13:17:24Z","title_canon_sha256":"c350f5b3824104e055bc036ee2d722cdd2ae3c413ecf220b494ffba72b4ff46b"},"schema_version":"1.0","source":{"id":"1204.5054","kind":"arxiv","version":2}},"canonical_sha256":"fb8c6f0c98bb1c93ab3549eaa30c7191fc4648cb83c17a2e184e6388aeba1e24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb8c6f0c98bb1c93ab3549eaa30c7191fc4648cb83c17a2e184e6388aeba1e24","first_computed_at":"2026-05-18T03:35:02.130784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:02.130784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NHmHi4h6fTmWgSNHFi5ZzcwC1L7JpqFcso0HPBON4cCEKRa39Lr1M0Si+MZzYDsdxTfXPVUN18vPLEWEesEPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:02.131527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcb59c1780a23c90cc82a05a9a20a14006bb476e8b576ced2a93a64e2be56d53","sha256:4bf1458b508dfd9a02f5d04c89ac70a19c2e8ab6b478513da328a809f584f598"],"state_sha256":"4f06fa0a366063121f52699e89cc2ea3efe80639c0a869ba82affdac1b8f9a99"}