{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KQQEPZBSKATLW6BI7XNOXCUY5V","short_pith_number":"pith:KQQEPZBS","schema_version":"1.0","canonical_sha256":"542047e4325026bb7828fddaeb8a98ed686f96bbb8e9ec22afb834c796a025b6","source":{"kind":"arxiv","id":"1907.02325","version":1},"attestation_state":"computed","paper":{"title":"Harmonic almost contact metric manifolds revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Francisco Mart\\'in Cabrera","submitted_at":"2019-07-04T10:53:24Z","abstract_excerpt":"The study of harmonicity for almost contact metric structures was initiated by Vergara-D\\'iaz and Wood and continued by Gonz\\'alez-D\\'avila and the present author. By using the intrinsic torsion and some restriction on the type of almost contact metric structure, Gonz\\'alez-D\\'avila and the present author have characterised harmonic structures by showing conditions relating harmonicity and classes of almost contact metric structures. Here we do this in a more general context. Moreover, the harmonicity of almost contact metric structures as a map is also done in such a general context. Finally,"},"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":"1907.02325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-07-04T10:53:24Z","cross_cats_sorted":[],"title_canon_sha256":"9494e10cc8d2fe5b8f24b282c565c12835f1d08daaa15f41c0a2ae8206320c33","abstract_canon_sha256":"dc5d596421c52240a6dcea0757774916a184af6e17c126866af24658462c8d1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:28.969505Z","signature_b64":"gZvIS78Bh7dBvyVjwSMqmJUugOI49so6D1NAj/ivy1dP2mhm78f02xUzZ5fLHlvxmq87g/VFu0XG/+RQDJGwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"542047e4325026bb7828fddaeb8a98ed686f96bbb8e9ec22afb834c796a025b6","last_reissued_at":"2026-05-17T23:41:28.968570Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:28.968570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Harmonic almost contact metric manifolds revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Francisco Mart\\'in Cabrera","submitted_at":"2019-07-04T10:53:24Z","abstract_excerpt":"The study of harmonicity for almost contact metric structures was initiated by Vergara-D\\'iaz and Wood and continued by Gonz\\'alez-D\\'avila and the present author. By using the intrinsic torsion and some restriction on the type of almost contact metric structure, Gonz\\'alez-D\\'avila and the present author have characterised harmonic structures by showing conditions relating harmonicity and classes of almost contact metric structures. Here we do this in a more general context. Moreover, the harmonicity of almost contact metric structures as a map is also done in such a general context. Finally,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02325","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":"1907.02325","created_at":"2026-05-17T23:41:28.968712+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.02325v1","created_at":"2026-05-17T23:41:28.968712+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.02325","created_at":"2026-05-17T23:41:28.968712+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQQEPZBSKATL","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQQEPZBSKATLW6BI","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQQEPZBS","created_at":"2026-05-18T12:33:21.387695+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/KQQEPZBSKATLW6BI7XNOXCUY5V","json":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V.json","graph_json":"https://pith.science/api/pith-number/KQQEPZBSKATLW6BI7XNOXCUY5V/graph.json","events_json":"https://pith.science/api/pith-number/KQQEPZBSKATLW6BI7XNOXCUY5V/events.json","paper":"https://pith.science/paper/KQQEPZBS"},"agent_actions":{"view_html":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V","download_json":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V.json","view_paper":"https://pith.science/paper/KQQEPZBS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.02325&json=true","fetch_graph":"https://pith.science/api/pith-number/KQQEPZBSKATLW6BI7XNOXCUY5V/graph.json","fetch_events":"https://pith.science/api/pith-number/KQQEPZBSKATLW6BI7XNOXCUY5V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V/action/storage_attestation","attest_author":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V/action/author_attestation","sign_citation":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V/action/citation_signature","submit_replication":"https://pith.science/pith/KQQEPZBSKATLW6BI7XNOXCUY5V/action/replication_record"}},"created_at":"2026-05-17T23:41:28.968712+00:00","updated_at":"2026-05-17T23:41:28.968712+00:00"}