{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CMMQPOBTDQDUDKXKJYK44YBJCA","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":"e85bd24b51b1576c0fa4ea1231e2ac7b0250f039d92c4c1ad0c661307f8e6d5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-14T07:55:32Z","title_canon_sha256":"a64830ccd5daf496cb9b639564b316facd9f0cf428d1ed120a7286251c8fc903"},"schema_version":"1.0","source":{"id":"1103.2598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2598","created_at":"2026-05-18T02:02:53Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2598v1","created_at":"2026-05-18T02:02:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2598","created_at":"2026-05-18T02:02:53Z"},{"alias_kind":"pith_short_12","alias_value":"CMMQPOBTDQDU","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CMMQPOBTDQDUDKXK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CMMQPOBT","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:560794fe356c21e6465e19b192bfbd5a52290b2e995da8d11bb9fa404aa562a9","target":"graph","created_at":"2026-05-18T02:02:53Z","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 introduce a new wall-crossing formula which combines and generalizes the Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems respectively. This 2d-4d wall-crossing formula governs the wall-crossing of BPS states in an N=2 supersymmetric 4d gauge theory coupled to a supersymmetric surface defect. When the theory and defect are compactified on a circle, we get a 3d theory with a supersymmetric line operator, corresponding to a hyperholomorphic connection on a vector bundle over a hyperkahler space. The 2d-4d wall-crossing formula can be interpreted as a smoothn","authors_text":"Andrew Neitzke, Davide Gaiotto, Gregory W. Moore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-14T07:55:32Z","title":"Wall-Crossing in Coupled 2d-4d Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2598","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":"sha256:659026f77ce47783e935f5a5727bd5b6b0c473b574b037f850bb6585eced0ff8","target":"record","created_at":"2026-05-18T02:02:53Z","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":"e85bd24b51b1576c0fa4ea1231e2ac7b0250f039d92c4c1ad0c661307f8e6d5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-14T07:55:32Z","title_canon_sha256":"a64830ccd5daf496cb9b639564b316facd9f0cf428d1ed120a7286251c8fc903"},"schema_version":"1.0","source":{"id":"1103.2598","kind":"arxiv","version":1}},"canonical_sha256":"131907b8331c0741aaea4e15ce6029100cb20d4288acf7a1216cc2e87fccedb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"131907b8331c0741aaea4e15ce6029100cb20d4288acf7a1216cc2e87fccedb5","first_computed_at":"2026-05-18T02:02:53.945787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:53.945787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UAg23uH4zRFJnJSc18j0mjQxcCf9GzbcItx2KIUmtHowNOuee6PdvGnT79j+s9I4P27kbqHO4DJv+38TnlnHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:53.946352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:659026f77ce47783e935f5a5727bd5b6b0c473b574b037f850bb6585eced0ff8","sha256:560794fe356c21e6465e19b192bfbd5a52290b2e995da8d11bb9fa404aa562a9"],"state_sha256":"ed51009bbf9220b9146627132adb2963428d332cb1fde61e837ea0d079489483"}