{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:B4MW6TNVRXIR44642HGFU7EC63","short_pith_number":"pith:B4MW6TNV","schema_version":"1.0","canonical_sha256":"0f196f4db58dd11e73dcd1cc5a7c82f6ebacc5acc434269a47ca9a56bb4c564b","source":{"kind":"arxiv","id":"hep-th/0505027","version":2},"attestation_state":"computed","paper":{"title":"Toric Sasaki-Einstein metrics on S^2 x S^3","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Dario Martelli, James Sparks","submitted_at":"2005-05-03T19:10:46Z","abstract_excerpt":"We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kahler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Y^{p,q} manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page and Pope. We argue that the corresponding family of smooth Sasaki-Einstein manifolds all have topology S^2 x S^3. We conclude by setting up the equations describing the warped version of the Calabi-Yau c"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0505027","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-05-03T19:10:46Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"dd9fe053c8b8b63b0d0421a416a7f8761c4c78630fa94bf1aad3f26da20a364f","abstract_canon_sha256":"f35d4263a31502f37c7e2537f3136536af49161d494edc8c26de765fbe6fc9dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:56:10.332056Z","signature_b64":"DFY1ABAxF2l0sI0fThRKpt8hUWUHe26z/a27zBJV4OQYwkzU83hT+6odqiJB5OFRwOKIsuCm6eQ0/BIBQVDBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f196f4db58dd11e73dcd1cc5a7c82f6ebacc5acc434269a47ca9a56bb4c564b","last_reissued_at":"2026-07-04T16:56:10.331644Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:56:10.331644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toric Sasaki-Einstein metrics on S^2 x S^3","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Dario Martelli, James Sparks","submitted_at":"2005-05-03T19:10:46Z","abstract_excerpt":"We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kahler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Y^{p,q} manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page and Pope. We argue that the corresponding family of smooth Sasaki-Einstein manifolds all have topology S^2 x S^3. We conclude by setting up the equations describing the warped version of the Calabi-Yau c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0505027","kind":"arxiv","version":2},"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/0505027/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0505027","created_at":"2026-07-04T16:56:10.331719+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0505027v2","created_at":"2026-07-04T16:56:10.331719+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0505027","created_at":"2026-07-04T16:56:10.331719+00:00"},{"alias_kind":"pith_short_12","alias_value":"B4MW6TNVRXIR","created_at":"2026-07-04T16:56:10.331719+00:00"},{"alias_kind":"pith_short_16","alias_value":"B4MW6TNVRXIR4464","created_at":"2026-07-04T16:56:10.331719+00:00"},{"alias_kind":"pith_short_8","alias_value":"B4MW6TNV","created_at":"2026-07-04T16:56:10.331719+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.30354","citing_title":"Quiver Approach to Symmetry Theories","ref_index":118,"is_internal_anchor":true},{"citing_arxiv_id":"2409.15251","citing_title":"Machine Learning Toric Duality in Brane Tilings","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63","json":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63.json","graph_json":"https://pith.science/api/pith-number/B4MW6TNVRXIR44642HGFU7EC63/graph.json","events_json":"https://pith.science/api/pith-number/B4MW6TNVRXIR44642HGFU7EC63/events.json","paper":"https://pith.science/paper/B4MW6TNV"},"agent_actions":{"view_html":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63","download_json":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63.json","view_paper":"https://pith.science/paper/B4MW6TNV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0505027&json=true","fetch_graph":"https://pith.science/api/pith-number/B4MW6TNVRXIR44642HGFU7EC63/graph.json","fetch_events":"https://pith.science/api/pith-number/B4MW6TNVRXIR44642HGFU7EC63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63/action/storage_attestation","attest_author":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63/action/author_attestation","sign_citation":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63/action/citation_signature","submit_replication":"https://pith.science/pith/B4MW6TNVRXIR44642HGFU7EC63/action/replication_record"}},"created_at":"2026-07-04T16:56:10.331719+00:00","updated_at":"2026-07-04T16:56:10.331719+00:00"}