{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CMMQPOBTDQDUDKXKJYK44YBJCA","short_pith_number":"pith:CMMQPOBT","canonical_record":{"source":{"id":"1103.2598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-14T07:55:32Z","cross_cats_sorted":[],"title_canon_sha256":"a64830ccd5daf496cb9b639564b316facd9f0cf428d1ed120a7286251c8fc903","abstract_canon_sha256":"e85bd24b51b1576c0fa4ea1231e2ac7b0250f039d92c4c1ad0c661307f8e6d5e"},"schema_version":"1.0"},"canonical_sha256":"131907b8331c0741aaea4e15ce6029100cb20d4288acf7a1216cc2e87fccedb5","source":{"kind":"arxiv","id":"1103.2598","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CMMQPOBTDQDUDKXKJYK44YBJCA","target":"record","payload":{"canonical_record":{"source":{"id":"1103.2598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-14T07:55:32Z","cross_cats_sorted":[],"title_canon_sha256":"a64830ccd5daf496cb9b639564b316facd9f0cf428d1ed120a7286251c8fc903","abstract_canon_sha256":"e85bd24b51b1576c0fa4ea1231e2ac7b0250f039d92c4c1ad0c661307f8e6d5e"},"schema_version":"1.0"},"canonical_sha256":"131907b8331c0741aaea4e15ce6029100cb20d4288acf7a1216cc2e87fccedb5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:53.946352Z","signature_b64":"UAg23uH4zRFJnJSc18j0mjQxcCf9GzbcItx2KIUmtHowNOuee6PdvGnT79j+s9I4P27kbqHO4DJv+38TnlnHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"131907b8331c0741aaea4e15ce6029100cb20d4288acf7a1216cc2e87fccedb5","last_reissued_at":"2026-05-18T02:02:53.945787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:53.945787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.2598","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YHs3lT+QUS4ev2qqLbFJszDxmCwRXdMiKU8iviym5NPOMTF4nHvv0rKphKvrWc9BihYaHArV85SWI3NNvRm6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:49:28.369149Z"},"content_sha256":"659026f77ce47783e935f5a5727bd5b6b0c473b574b037f850bb6585eced0ff8","schema_version":"1.0","event_id":"sha256:659026f77ce47783e935f5a5727bd5b6b0c473b574b037f850bb6585eced0ff8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CMMQPOBTDQDUDKXKJYK44YBJCA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wall-Crossing in Coupled 2d-4d Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Davide Gaiotto, Gregory W. Moore","submitted_at":"2011-03-14T07:55:32Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2598","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ayMGvj5xL9d0cXydh0/0C6udvVc+sRHhzsA6S+e1z+umpKPRWWSqOltBeuKHCeJJZsOsowOKijEpne4mn3tAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:49:28.369871Z"},"content_sha256":"560794fe356c21e6465e19b192bfbd5a52290b2e995da8d11bb9fa404aa562a9","schema_version":"1.0","event_id":"sha256:560794fe356c21e6465e19b192bfbd5a52290b2e995da8d11bb9fa404aa562a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/bundle.json","state_url":"https://pith.science/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T14:49:28Z","links":{"resolver":"https://pith.science/pith/CMMQPOBTDQDUDKXKJYK44YBJCA","bundle":"https://pith.science/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/bundle.json","state":"https://pith.science/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CMMQPOBTDQDUDKXKJYK44YBJCA/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WV/F5ku6qQFXAHJtmHEZtc6gpbb09tvWFDRtxh7d7oDTfZ796dmAzeM6uTjkJOEhSx/AhYyTPoL7OQO9PtXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T14:49:28.374789Z","bundle_sha256":"0001c497c026bf166a3978665b3df8d2ce7a265293358c789ddee3ac4b211ae9"}}