{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AAD3BVYG4WFOJ64ANK64ITZNZ4","short_pith_number":"pith:AAD3BVYG","schema_version":"1.0","canonical_sha256":"0007b0d706e58ae4fb806abdc44f2dcf0bbf7ac21bf727a4f7d457070577c7f4","source":{"kind":"arxiv","id":"1608.06744","version":2},"attestation_state":"computed","paper":{"title":"On non-K\\\"ahler compact complex manifolds with balanced and astheno-K\\\"ahler metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adela Latorre, Luis Ugarte","submitted_at":"2016-08-24T08:26:03Z","abstract_excerpt":"In this note we present, for every $n \\geq 4$, a non-K\\\"ahler compact complex manifold $X$ of complex dimension $n$ admitting a balanced metric and an astheno-K\\\"ahler metric which is in addition $k$-th Gauduchon for any $1\\leq k\\leq n-1$."},"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":"1608.06744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-24T08:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"dcfc93d6fa585f8818eb79537a936d1d9e646fbc11d20c079d9bae92b66578c3","abstract_canon_sha256":"7427bd92616c8432d7da6289abac33c98f168bc6c6e4cf55c81eaf08538ae069"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:08.822800Z","signature_b64":"Xim612gautv1jDcfb3REptLhoMsOmrXC/ShJRVJZly1pp6TlcehXPh9m9o7XMol4EAnVaccjD34l9VxLAFEBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0007b0d706e58ae4fb806abdc44f2dcf0bbf7ac21bf727a4f7d457070577c7f4","last_reissued_at":"2026-05-18T00:54:08.821140Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:08.821140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On non-K\\\"ahler compact complex manifolds with balanced and astheno-K\\\"ahler metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adela Latorre, Luis Ugarte","submitted_at":"2016-08-24T08:26:03Z","abstract_excerpt":"In this note we present, for every $n \\geq 4$, a non-K\\\"ahler compact complex manifold $X$ of complex dimension $n$ admitting a balanced metric and an astheno-K\\\"ahler metric which is in addition $k$-th Gauduchon for any $1\\leq k\\leq n-1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06744","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":""},"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":"1608.06744","created_at":"2026-05-18T00:54:08.821212+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.06744v2","created_at":"2026-05-18T00:54:08.821212+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06744","created_at":"2026-05-18T00:54:08.821212+00:00"},{"alias_kind":"pith_short_12","alias_value":"AAD3BVYG4WFO","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"AAD3BVYG4WFOJ64A","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"AAD3BVYG","created_at":"2026-05-18T12:30:04.600751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4","json":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4.json","graph_json":"https://pith.science/api/pith-number/AAD3BVYG4WFOJ64ANK64ITZNZ4/graph.json","events_json":"https://pith.science/api/pith-number/AAD3BVYG4WFOJ64ANK64ITZNZ4/events.json","paper":"https://pith.science/paper/AAD3BVYG"},"agent_actions":{"view_html":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4","download_json":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4.json","view_paper":"https://pith.science/paper/AAD3BVYG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.06744&json=true","fetch_graph":"https://pith.science/api/pith-number/AAD3BVYG4WFOJ64ANK64ITZNZ4/graph.json","fetch_events":"https://pith.science/api/pith-number/AAD3BVYG4WFOJ64ANK64ITZNZ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4/action/storage_attestation","attest_author":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4/action/author_attestation","sign_citation":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4/action/citation_signature","submit_replication":"https://pith.science/pith/AAD3BVYG4WFOJ64ANK64ITZNZ4/action/replication_record"}},"created_at":"2026-05-18T00:54:08.821212+00:00","updated_at":"2026-05-18T00:54:08.821212+00:00"}