{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DZUHLP3VRBKW25CGNKOJ3ACXXY","short_pith_number":"pith:DZUHLP3V","canonical_record":{"source":{"id":"1404.7521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-29T20:39:15Z","cross_cats_sorted":[],"title_canon_sha256":"5359f3bbc8c6642d1868d61c71816b6dc31a591ea69ed9f1a36cd81601dfc21b","abstract_canon_sha256":"822718f6c3ba530013d6226b86a75efb268d3103e0be853ab526c3c80f3890d2"},"schema_version":"1.0"},"canonical_sha256":"1e6875bf7588556d74466a9c9d8057be1e61c7aa49adbb3c5ceafe1a6d9f4c04","source":{"kind":"arxiv","id":"1404.7521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7521","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7521v1","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7521","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"DZUHLP3VRBKW","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DZUHLP3VRBKW25CG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DZUHLP3V","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DZUHLP3VRBKW25CGNKOJ3ACXXY","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-29T20:39:15Z","cross_cats_sorted":[],"title_canon_sha256":"5359f3bbc8c6642d1868d61c71816b6dc31a591ea69ed9f1a36cd81601dfc21b","abstract_canon_sha256":"822718f6c3ba530013d6226b86a75efb268d3103e0be853ab526c3c80f3890d2"},"schema_version":"1.0"},"canonical_sha256":"1e6875bf7588556d74466a9c9d8057be1e61c7aa49adbb3c5ceafe1a6d9f4c04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:21.678847Z","signature_b64":"0pEnc+X40g+L3o9lN957hhoRqJxi0xr9sLQNB9aMice5jk0jWW5vyxAFyGD0b8dXyMEfWqJKMfIvLE9O+MaYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e6875bf7588556d74466a9c9d8057be1e61c7aa49adbb3c5ceafe1a6d9f4c04","last_reissued_at":"2026-05-18T01:43:21.677917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:21.677917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7521","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":"2026-05-18T01:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"foEpmhNYglLqea8cyj3aIFziJB/BUQYC2FmGvVrOr1X+YMP4dzxlMcZzOJAddbPm8Vl/0y9pwaVtyWyXDBDfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:04:24.051993Z"},"content_sha256":"c0131a7337b7d1c6abd4e9ad47d351515e0dc14b1c76f2cb7a715083c599050a","schema_version":"1.0","event_id":"sha256:c0131a7337b7d1c6abd4e9ad47d351515e0dc14b1c76f2cb7a715083c599050a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DZUHLP3VRBKW25CGNKOJ3ACXXY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The moduli space of vacua of N=2 class S theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dan Xie, Kazuya Yonekura","submitted_at":"2014-04-29T20:39:15Z","abstract_excerpt":"We develop a systematic method to describe the moduli space of vacua of four dimensional $\\mathcal{N}=2$ class ${\\cal S}$ theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed branches. They are derived by using generalized Hitchin's equations obtained from twisted compactification of 5d maximal Super-Yang-Mills, with local degrees of freedom at punctures given by (nilpotent) orbits. The crucial thing is the holomorphic factorization of the Seiberg-Witten "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7521","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":"2026-05-18T01:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGL04JC8EQlLj+QRbpaL2bikU5bcgAOgDDHTvAkbuGX6HNfOegAmKRkFOORTeoIekAVduVP8Rhysn4ofaAqyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:04:24.052355Z"},"content_sha256":"fd9827466ed7adc64c9c12a7a971419adf9fed0fcd2e8de9a4d630d596e7e285","schema_version":"1.0","event_id":"sha256:fd9827466ed7adc64c9c12a7a971419adf9fed0fcd2e8de9a4d630d596e7e285"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/bundle.json","state_url":"https://pith.science/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/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":"2026-06-02T03:04:24Z","links":{"resolver":"https://pith.science/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY","bundle":"https://pith.science/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/bundle.json","state":"https://pith.science/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DZUHLP3VRBKW25CGNKOJ3ACXXY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DZUHLP3VRBKW25CGNKOJ3ACXXY","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":"822718f6c3ba530013d6226b86a75efb268d3103e0be853ab526c3c80f3890d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-29T20:39:15Z","title_canon_sha256":"5359f3bbc8c6642d1868d61c71816b6dc31a591ea69ed9f1a36cd81601dfc21b"},"schema_version":"1.0","source":{"id":"1404.7521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7521","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7521v1","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7521","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"DZUHLP3VRBKW","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DZUHLP3VRBKW25CG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DZUHLP3V","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:fd9827466ed7adc64c9c12a7a971419adf9fed0fcd2e8de9a4d630d596e7e285","target":"graph","created_at":"2026-05-18T01:43:21Z","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 develop a systematic method to describe the moduli space of vacua of four dimensional $\\mathcal{N}=2$ class ${\\cal S}$ theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed branches. They are derived by using generalized Hitchin's equations obtained from twisted compactification of 5d maximal Super-Yang-Mills, with local degrees of freedom at punctures given by (nilpotent) orbits. The crucial thing is the holomorphic factorization of the Seiberg-Witten ","authors_text":"Dan Xie, Kazuya Yonekura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-29T20:39:15Z","title":"The moduli space of vacua of N=2 class S theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7521","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:c0131a7337b7d1c6abd4e9ad47d351515e0dc14b1c76f2cb7a715083c599050a","target":"record","created_at":"2026-05-18T01:43:21Z","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":"822718f6c3ba530013d6226b86a75efb268d3103e0be853ab526c3c80f3890d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-29T20:39:15Z","title_canon_sha256":"5359f3bbc8c6642d1868d61c71816b6dc31a591ea69ed9f1a36cd81601dfc21b"},"schema_version":"1.0","source":{"id":"1404.7521","kind":"arxiv","version":1}},"canonical_sha256":"1e6875bf7588556d74466a9c9d8057be1e61c7aa49adbb3c5ceafe1a6d9f4c04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e6875bf7588556d74466a9c9d8057be1e61c7aa49adbb3c5ceafe1a6d9f4c04","first_computed_at":"2026-05-18T01:43:21.677917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:21.677917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0pEnc+X40g+L3o9lN957hhoRqJxi0xr9sLQNB9aMice5jk0jWW5vyxAFyGD0b8dXyMEfWqJKMfIvLE9O+MaYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:21.678847Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0131a7337b7d1c6abd4e9ad47d351515e0dc14b1c76f2cb7a715083c599050a","sha256:fd9827466ed7adc64c9c12a7a971419adf9fed0fcd2e8de9a4d630d596e7e285"],"state_sha256":"bc8ee211edccebcf32e88289cea2bfa7843818931ac943c4044e536a8237f6fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Sc/HyAtWOhaLzQI6vViwJuOT3MRYlGgoIDTcaQFXdnGQ5TOzX3nPPIN0TufnWkbkLj26EFzEN4ho6I97gAQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:04:24.054373Z","bundle_sha256":"08666fee648656cc1272e71b2cacedb51a30eab3690c39f7414380b8507058ec"}}