{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:O2P6RFUHX3XVLCPQ3WPRZK52VB","short_pith_number":"pith:O2P6RFUH","canonical_record":{"source":{"id":"1206.6359","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T18:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"b6b15bd50b884cfad9e4b778383e8d9071563ea7087e2b422cdb435e0915e69c","abstract_canon_sha256":"f411dd26f93dae7d66cc42c49b76c9a048da87910eadf3adcb4d3b1f524af812"},"schema_version":"1.0"},"canonical_sha256":"769fe89687beef5589f0dd9f1cabbaa856e6b80b33a62e0f915df63cc7159a3d","source":{"kind":"arxiv","id":"1206.6359","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6359","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6359v3","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6359","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"O2P6RFUHX3XV","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O2P6RFUHX3XVLCPQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O2P6RFUH","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:O2P6RFUHX3XVLCPQ3WPRZK52VB","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6359","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T18:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"b6b15bd50b884cfad9e4b778383e8d9071563ea7087e2b422cdb435e0915e69c","abstract_canon_sha256":"f411dd26f93dae7d66cc42c49b76c9a048da87910eadf3adcb4d3b1f524af812"},"schema_version":"1.0"},"canonical_sha256":"769fe89687beef5589f0dd9f1cabbaa856e6b80b33a62e0f915df63cc7159a3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:41.181476Z","signature_b64":"Pl3g1qz/Z3glCJ1q+x6hza1++oUJ7/HwY3EgaxOECUf1Tzo2gxl5UVeTBtfLppSBrAL6Vg46hkGogJ9akZkECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"769fe89687beef5589f0dd9f1cabbaa856e6b80b33a62e0f915df63cc7159a3d","last_reissued_at":"2026-05-18T01:56:41.181118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:41.181118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6359","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODd6rc74igsRygPkY0BtYA37llLmTEecr2y+A4tMUf8lPibKHkAj5WqbjAZfx78j8xCzDobQQ5xIAoZDykjpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T11:49:17.391355Z"},"content_sha256":"90953ba0a7bae879154f810e512c7c1ec131fba9a88e397cef8ab8931bd3946c","schema_version":"1.0","event_id":"sha256:90953ba0a7bae879154f810e512c7c1ec131fba9a88e397cef8ab8931bd3946c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:O2P6RFUHX3XVLCPQ3WPRZK52VB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Seiberg-Witten Theories on Ellipsoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kazuo Hosomichi, Naofumi Hama","submitted_at":"2012-06-27T18:35:46Z","abstract_excerpt":"We present a set of equations for a 4D Killing spinor which guarantees the Seiberg-Witten theories on a curved background to be supersymmetric. The equations involve an SU(2) gauge field and some auxiliary fields in addition to the metric. Four-dimensional ellipsoids with U(1)xU(1) isometry are shown to admit a supersymmetry if these additional fields are chosen appropriately. We compute the partition function of general Seiberg-Witten theories on ellipsoids, and the result suggests a correspondence with 2D Liouville or Toda correlators with general coupling constant b."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6359","kind":"arxiv","version":3},"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":"2026-05-18T01:56:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/bomF/1mClbCyzHU7PpHCZgPDcxoynWhSzawlcDW7MyEVGgwMh3MNOEWgU5y/Gf+GObSRnP6LNvgrgPK92gBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T11:49:17.392131Z"},"content_sha256":"2517bb862204596a713375178166f1df3780cf8af0f46013abc54d1e24d70d96","schema_version":"1.0","event_id":"sha256:2517bb862204596a713375178166f1df3780cf8af0f46013abc54d1e24d70d96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/bundle.json","state_url":"https://pith.science/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/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":"2026-05-23T11:49:17Z","links":{"resolver":"https://pith.science/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB","bundle":"https://pith.science/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/bundle.json","state":"https://pith.science/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O2P6RFUHX3XVLCPQ3WPRZK52VB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O2P6RFUHX3XVLCPQ3WPRZK52VB","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":"f411dd26f93dae7d66cc42c49b76c9a048da87910eadf3adcb4d3b1f524af812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T18:35:46Z","title_canon_sha256":"b6b15bd50b884cfad9e4b778383e8d9071563ea7087e2b422cdb435e0915e69c"},"schema_version":"1.0","source":{"id":"1206.6359","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6359","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6359v3","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6359","created_at":"2026-05-18T01:56:41Z"},{"alias_kind":"pith_short_12","alias_value":"O2P6RFUHX3XV","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O2P6RFUHX3XVLCPQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O2P6RFUH","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:2517bb862204596a713375178166f1df3780cf8af0f46013abc54d1e24d70d96","target":"graph","created_at":"2026-05-18T01:56:41Z","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 present a set of equations for a 4D Killing spinor which guarantees the Seiberg-Witten theories on a curved background to be supersymmetric. The equations involve an SU(2) gauge field and some auxiliary fields in addition to the metric. Four-dimensional ellipsoids with U(1)xU(1) isometry are shown to admit a supersymmetry if these additional fields are chosen appropriately. We compute the partition function of general Seiberg-Witten theories on ellipsoids, and the result suggests a correspondence with 2D Liouville or Toda correlators with general coupling constant b.","authors_text":"Kazuo Hosomichi, Naofumi Hama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T18:35:46Z","title":"Seiberg-Witten Theories on Ellipsoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6359","kind":"arxiv","version":3},"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":"sha256:90953ba0a7bae879154f810e512c7c1ec131fba9a88e397cef8ab8931bd3946c","target":"record","created_at":"2026-05-18T01:56:41Z","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":"f411dd26f93dae7d66cc42c49b76c9a048da87910eadf3adcb4d3b1f524af812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T18:35:46Z","title_canon_sha256":"b6b15bd50b884cfad9e4b778383e8d9071563ea7087e2b422cdb435e0915e69c"},"schema_version":"1.0","source":{"id":"1206.6359","kind":"arxiv","version":3}},"canonical_sha256":"769fe89687beef5589f0dd9f1cabbaa856e6b80b33a62e0f915df63cc7159a3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"769fe89687beef5589f0dd9f1cabbaa856e6b80b33a62e0f915df63cc7159a3d","first_computed_at":"2026-05-18T01:56:41.181118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:41.181118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pl3g1qz/Z3glCJ1q+x6hza1++oUJ7/HwY3EgaxOECUf1Tzo2gxl5UVeTBtfLppSBrAL6Vg46hkGogJ9akZkECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:41.181476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6359","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90953ba0a7bae879154f810e512c7c1ec131fba9a88e397cef8ab8931bd3946c","sha256:2517bb862204596a713375178166f1df3780cf8af0f46013abc54d1e24d70d96"],"state_sha256":"6c5edf7018767b5a33089649cee56ac1c2d31d2dd9e528cc919d9f9d2cafed89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEoaEJBSAJ/PJad5tyZhnOqkQjlX7GdaDkSSuRozas/U3c/1DtYU8WmrBXUmCNoy6oqstEupHGbVZryIcn8vCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T11:49:17.395930Z","bundle_sha256":"1f4ba4a57bf438eb81940767e55da25905d1ef993f925b2d5cbf3f7490bb33fb"}}