{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:BUBCCRUI7OWFBF6E3BHGNANKUI","short_pith_number":"pith:BUBCCRUI","canonical_record":{"source":{"id":"hep-th/0312001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-01T14:03:05Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a5114dcf3cba5d3b45304894a9317ca27c06501e7a79bed243db877482b9039b","abstract_canon_sha256":"0023725b1aafa59ab90ec2aa56a7bede5f3faae79d52fb2f3e8dc7f0f5cf0770"},"schema_version":"1.0"},"canonical_sha256":"0d02214688fbac5097c4d84e6681aaa22a00d89fe6ac03cde7769ad554533142","source":{"kind":"arxiv","id":"hep-th/0312001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312001","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312001v1","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312001","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"BUBCCRUI7OWF","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"BUBCCRUI7OWFBF6E","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"BUBCCRUI","created_at":"2026-07-04T16:41:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:BUBCCRUI7OWFBF6E3BHGNANKUI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0312001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-01T14:03:05Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a5114dcf3cba5d3b45304894a9317ca27c06501e7a79bed243db877482b9039b","abstract_canon_sha256":"0023725b1aafa59ab90ec2aa56a7bede5f3faae79d52fb2f3e8dc7f0f5cf0770"},"schema_version":"1.0"},"canonical_sha256":"0d02214688fbac5097c4d84e6681aaa22a00d89fe6ac03cde7769ad554533142","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:28.900344Z","signature_b64":"fTHE2b2M1Tq92ht9cdgadeeBYVLU5GEh3FgJWaaxaJT1yB2k/H6QuQCcdXzbt/KX9ilzR49BGlNPc2mS6BrqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d02214688fbac5097c4d84e6681aaa22a00d89fe6ac03cde7769ad554533142","last_reissued_at":"2026-07-04T16:41:28.899959Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:28.899959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0312001","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":"2026-07-04T16:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0zXfnE4napIoHjyEhayieZVJ39ebiL3JPnGfcMdFFt7yC8ddAkzR7bQqB68fuM5GTtLmXbLH3dTNMkVyPkvSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:37:55.875413Z"},"content_sha256":"d2e731ec47e43cf4fb5a311f8f468e6f47a78e86b82e258768df3233f1778d80","schema_version":"1.0","event_id":"sha256:d2e731ec47e43cf4fb5a311f8f468e6f47a78e86b82e258768df3233f1778d80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:BUBCCRUI7OWFBF6E3BHGNANKUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Special Geometry of Euclidean Supersymmetry I: Vector Multiplets","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Christoph Mayer, Frank Saueressig, Thomas Mohaupt, Vicente Cortes","submitted_at":"2003-12-01T14:03:05Z","abstract_excerpt":"We construct the general action for Abelian vector multiplets in rigid 4-dimensional Euclidean (instead of Minkowskian) N=2 supersymmetry, i.e., over space-times with a positive definite instead of a Lorentzian metric. The target manifolds for the scalar fields turn out to be para-complex manifolds endowed with a particular kind of special geometry, which we call affine special para-Kahler geometry. We give a precise definition and develop the mathematical theory of such manifolds. The relation to the affine special Kahler manifolds appearing in Minkowskian N=2 supersymmetry is discussed. Star"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0312001/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3p0MPJ+jXU5wG89MlLq5/PERONmJMwzWhfNh4YH6ZsDtm/hQFh+mU7LP3mmyIM4BkF/2g2+gy7ZAavSyVQrACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:37:55.876336Z"},"content_sha256":"f7779981f7a6d07339a5e7fd8881f1f8358004500d695b58173a562db1b2b82d","schema_version":"1.0","event_id":"sha256:f7779981f7a6d07339a5e7fd8881f1f8358004500d695b58173a562db1b2b82d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/bundle.json","state_url":"https://pith.science/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/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":"2026-08-08T03:37:55Z","links":{"resolver":"https://pith.science/pith/BUBCCRUI7OWFBF6E3BHGNANKUI","bundle":"https://pith.science/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/bundle.json","state":"https://pith.science/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUBCCRUI7OWFBF6E3BHGNANKUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:BUBCCRUI7OWFBF6E3BHGNANKUI","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":"0023725b1aafa59ab90ec2aa56a7bede5f3faae79d52fb2f3e8dc7f0f5cf0770","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-01T14:03:05Z","title_canon_sha256":"a5114dcf3cba5d3b45304894a9317ca27c06501e7a79bed243db877482b9039b"},"schema_version":"1.0","source":{"id":"hep-th/0312001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312001","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312001v1","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312001","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"BUBCCRUI7OWF","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"BUBCCRUI7OWFBF6E","created_at":"2026-07-04T16:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"BUBCCRUI","created_at":"2026-07-04T16:41:28Z"}],"graph_snapshots":[{"event_id":"sha256:f7779981f7a6d07339a5e7fd8881f1f8358004500d695b58173a562db1b2b82d","target":"graph","created_at":"2026-07-04T16:41:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0312001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct the general action for Abelian vector multiplets in rigid 4-dimensional Euclidean (instead of Minkowskian) N=2 supersymmetry, i.e., over space-times with a positive definite instead of a Lorentzian metric. The target manifolds for the scalar fields turn out to be para-complex manifolds endowed with a particular kind of special geometry, which we call affine special para-Kahler geometry. We give a precise definition and develop the mathematical theory of such manifolds. The relation to the affine special Kahler manifolds appearing in Minkowskian N=2 supersymmetry is discussed. Star","authors_text":"Christoph Mayer, Frank Saueressig, Thomas Mohaupt, Vicente Cortes","cross_cats":["math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-12-01T14:03:05Z","title":"Special Geometry of Euclidean Supersymmetry I: Vector Multiplets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312001","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:d2e731ec47e43cf4fb5a311f8f468e6f47a78e86b82e258768df3233f1778d80","target":"record","created_at":"2026-07-04T16:41:28Z","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":"0023725b1aafa59ab90ec2aa56a7bede5f3faae79d52fb2f3e8dc7f0f5cf0770","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-01T14:03:05Z","title_canon_sha256":"a5114dcf3cba5d3b45304894a9317ca27c06501e7a79bed243db877482b9039b"},"schema_version":"1.0","source":{"id":"hep-th/0312001","kind":"arxiv","version":1}},"canonical_sha256":"0d02214688fbac5097c4d84e6681aaa22a00d89fe6ac03cde7769ad554533142","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d02214688fbac5097c4d84e6681aaa22a00d89fe6ac03cde7769ad554533142","first_computed_at":"2026-07-04T16:41:28.899959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:28.899959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fTHE2b2M1Tq92ht9cdgadeeBYVLU5GEh3FgJWaaxaJT1yB2k/H6QuQCcdXzbt/KX9ilzR49BGlNPc2mS6BrqDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:28.900344Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0312001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2e731ec47e43cf4fb5a311f8f468e6f47a78e86b82e258768df3233f1778d80","sha256:f7779981f7a6d07339a5e7fd8881f1f8358004500d695b58173a562db1b2b82d"],"state_sha256":"c9b83e39d6557d0031b418960170caddfa1a161d770608a5c4d9594b3c7f37c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ut5AXmBv4tzL9qikvNUA//BpcIInnJuQqRTmk05amTBdP79WWKOW0amQZ2kS3I4dfdiq3jy6d7S5HGzgJ6K2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T03:37:55.892368Z","bundle_sha256":"c2091999d27f6e54916945e9858e37cd0b542ed6c0ef7d73cc617b989b19aa0e"}}