{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B7NI2TF4A5AAS7BQGRO3MAURNT","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":"bb3d988b26b00dfeb56bedcd1be475d95aa9268fc0a00511bc9ba2bf2be597c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-01T20:46:22Z","title_canon_sha256":"3aefbba77de625245abb2664dd8419ac150a7bf4187cd6d802e0ae2bc536c482"},"schema_version":"1.0","source":{"id":"1104.0254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0254","created_at":"2026-05-18T00:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0254v1","created_at":"2026-05-18T00:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0254","created_at":"2026-05-18T00:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"B7NI2TF4A5AA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B7NI2TF4A5AAS7BQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B7NI2TF4","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:2603f37cf29e5e908611e0b75a11b1a2b6e599464dbf71a7eff0c03e835bc491","target":"graph","created_at":"2026-05-18T00:37:38Z","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":"These lecture notes give an introduction to a number of ideas and methods that have been useful in the study of complex systems ranging from spin glasses to D-branes on Calabi-Yau manifolds. Topics include the replica formalism, Parisi's solution of the Sherrington-Kirkpatrick model, overlap order parameters, supersymmetric quantum mechanics, D-brane landscapes and their black hole duals.","authors_text":"Frederik Denef","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-01T20:46:22Z","title":"TASI lectures on complex structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0254","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":"sha256:8d6998a530e24ddca368c96c2318cbe56ce51922e97e1e1da2b8b6e8d30d74f3","target":"record","created_at":"2026-05-18T00:37:38Z","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":"bb3d988b26b00dfeb56bedcd1be475d95aa9268fc0a00511bc9ba2bf2be597c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-01T20:46:22Z","title_canon_sha256":"3aefbba77de625245abb2664dd8419ac150a7bf4187cd6d802e0ae2bc536c482"},"schema_version":"1.0","source":{"id":"1104.0254","kind":"arxiv","version":1}},"canonical_sha256":"0fda8d4cbc0740097c30345db602916ce082dd3bef648d412585529ee89de62c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fda8d4cbc0740097c30345db602916ce082dd3bef648d412585529ee89de62c","first_computed_at":"2026-05-18T00:37:38.020779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:38.020779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tq5/SuRnHes0otzHj+cWaTWPQxUxYtst8ezAZlTfHwXAeVYv1oCRhoj2iuYurD77fhbuTARTP9d9Fu6sgCJbBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:38.021512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d6998a530e24ddca368c96c2318cbe56ce51922e97e1e1da2b8b6e8d30d74f3","sha256:2603f37cf29e5e908611e0b75a11b1a2b6e599464dbf71a7eff0c03e835bc491"],"state_sha256":"66ae6ec44959a08d5bebc147a300ebd68a3fe842c1f3c13862981163db9fa989"}