{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:62S4MWNTPOSJJB6QEWIKOG2PDR","short_pith_number":"pith:62S4MWNT","schema_version":"1.0","canonical_sha256":"f6a5c659b37ba49487d02590a71b4f1c415e7b033699dd360db6b267b6b684f2","source":{"kind":"arxiv","id":"1502.03706","version":1},"attestation_state":"computed","paper":{"title":"On geometric Bott-Chern formality and deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adriano Tomassini, Nicoletta Tardini","submitted_at":"2015-02-12T15:42:20Z","abstract_excerpt":"A notion of geometric formality in the context of Bott-Chern and Aeppli cohomologies on a complex manifold is discussed. In particular, by using Aeppli-Bott-Chern-Massey triple products, it is proved that geometric Aeppli-Bott-Chern formality is not stable under small deformations of the complex structure."},"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":"1502.03706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-12T15:42:20Z","cross_cats_sorted":[],"title_canon_sha256":"af1aee723d35b94b4873db78150fcebb2a9009359cedce34a056762a910bce41","abstract_canon_sha256":"c1d7c008ca7fae130c212e10ed5535ee6c10995baf0f6ced14bfa3f1f9de03a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:16.960458Z","signature_b64":"301bK8V1QPHJJbygeKpqY56jODfzYxfjXqYbxmsKpoL63bVSErLKuF2PjEw/agaOHVWDMX6PcFsddiFFJQjQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a5c659b37ba49487d02590a71b4f1c415e7b033699dd360db6b267b6b684f2","last_reissued_at":"2026-05-18T02:27:16.959849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:16.959849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On geometric Bott-Chern formality and deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adriano Tomassini, Nicoletta Tardini","submitted_at":"2015-02-12T15:42:20Z","abstract_excerpt":"A notion of geometric formality in the context of Bott-Chern and Aeppli cohomologies on a complex manifold is discussed. In particular, by using Aeppli-Bott-Chern-Massey triple products, it is proved that geometric Aeppli-Bott-Chern formality is not stable under small deformations of the complex structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03706","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.03706","created_at":"2026-05-18T02:27:16.959960+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.03706v1","created_at":"2026-05-18T02:27:16.959960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03706","created_at":"2026-05-18T02:27:16.959960+00:00"},{"alias_kind":"pith_short_12","alias_value":"62S4MWNTPOSJ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"62S4MWNTPOSJJB6Q","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"62S4MWNT","created_at":"2026-05-18T12:29:07.941421+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/62S4MWNTPOSJJB6QEWIKOG2PDR","json":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR.json","graph_json":"https://pith.science/api/pith-number/62S4MWNTPOSJJB6QEWIKOG2PDR/graph.json","events_json":"https://pith.science/api/pith-number/62S4MWNTPOSJJB6QEWIKOG2PDR/events.json","paper":"https://pith.science/paper/62S4MWNT"},"agent_actions":{"view_html":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR","download_json":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR.json","view_paper":"https://pith.science/paper/62S4MWNT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.03706&json=true","fetch_graph":"https://pith.science/api/pith-number/62S4MWNTPOSJJB6QEWIKOG2PDR/graph.json","fetch_events":"https://pith.science/api/pith-number/62S4MWNTPOSJJB6QEWIKOG2PDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR/action/storage_attestation","attest_author":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR/action/author_attestation","sign_citation":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR/action/citation_signature","submit_replication":"https://pith.science/pith/62S4MWNTPOSJJB6QEWIKOG2PDR/action/replication_record"}},"created_at":"2026-05-18T02:27:16.959960+00:00","updated_at":"2026-05-18T02:27:16.959960+00:00"}