{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KQNBAGGDND7SWDAQEWMJJGSOHS","short_pith_number":"pith:KQNBAGGD","schema_version":"1.0","canonical_sha256":"541a1018c368ff2b0c102598949a4e3caa3d3bbb4fb98f009156742edd0acd33","source":{"kind":"arxiv","id":"1608.03050","version":1},"attestation_state":"computed","paper":{"title":"A curvature identity on a 6-dimensional Riemannian Manifold and its applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"JeongHyeong Park, Kouei Sekigawa, Yunhee Euh","submitted_at":"2016-08-10T05:27:23Z","abstract_excerpt":"We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also introduce some applications of this curvature identity."},"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":"1608.03050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-10T05:27:23Z","cross_cats_sorted":[],"title_canon_sha256":"e4cdd5e764aca29e73cf6b1b376519d2f1baf0bb7e6a5a3ab7609897b07401fd","abstract_canon_sha256":"66411a4e5d7c421edbdf320ab3dac38c5b7afb3bc30c0fec5150837cf71c54e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:30.390794Z","signature_b64":"jIm8/q8ptaPZL3HoYz8DiCPENvhRXKhUn/sUQoHK2xTqDRRMQ+lnAWUf/eQf/0Td6VqRgaS3r6OZ6pn+Zu5oDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"541a1018c368ff2b0c102598949a4e3caa3d3bbb4fb98f009156742edd0acd33","last_reissued_at":"2026-05-18T01:09:30.390383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:30.390383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A curvature identity on a 6-dimensional Riemannian Manifold and its applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"JeongHyeong Park, Kouei Sekigawa, Yunhee Euh","submitted_at":"2016-08-10T05:27:23Z","abstract_excerpt":"We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also introduce some applications of this curvature identity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03050","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":"1608.03050","created_at":"2026-05-18T01:09:30.390448+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.03050v1","created_at":"2026-05-18T01:09:30.390448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03050","created_at":"2026-05-18T01:09:30.390448+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQNBAGGDND7S","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQNBAGGDND7SWDAQ","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQNBAGGD","created_at":"2026-05-18T12:30:25.849896+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/KQNBAGGDND7SWDAQEWMJJGSOHS","json":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS.json","graph_json":"https://pith.science/api/pith-number/KQNBAGGDND7SWDAQEWMJJGSOHS/graph.json","events_json":"https://pith.science/api/pith-number/KQNBAGGDND7SWDAQEWMJJGSOHS/events.json","paper":"https://pith.science/paper/KQNBAGGD"},"agent_actions":{"view_html":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS","download_json":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS.json","view_paper":"https://pith.science/paper/KQNBAGGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.03050&json=true","fetch_graph":"https://pith.science/api/pith-number/KQNBAGGDND7SWDAQEWMJJGSOHS/graph.json","fetch_events":"https://pith.science/api/pith-number/KQNBAGGDND7SWDAQEWMJJGSOHS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS/action/storage_attestation","attest_author":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS/action/author_attestation","sign_citation":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS/action/citation_signature","submit_replication":"https://pith.science/pith/KQNBAGGDND7SWDAQEWMJJGSOHS/action/replication_record"}},"created_at":"2026-05-18T01:09:30.390448+00:00","updated_at":"2026-05-18T01:09:30.390448+00:00"}