{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LAQDDHQ55LI6T3JECMTN2FXXG7","short_pith_number":"pith:LAQDDHQ5","schema_version":"1.0","canonical_sha256":"5820319e1dead1e9ed241326dd16f737dfb0482a12ccf1336fdf841491419b8b","source":{"kind":"arxiv","id":"1206.1692","version":2},"attestation_state":"computed","paper":{"title":"Invariant tensors related with natural connections for a class Riemannian product manifolds","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dobrinka Gribacheva","submitted_at":"2012-06-08T08:14:16Z","abstract_excerpt":"Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metric and the product 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":"1206.1692","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2012-06-08T08:14:16Z","cross_cats_sorted":[],"title_canon_sha256":"685e1d7373c41f61176a340b79a2676057be851569ec089b39824fc1d505f9a8","abstract_canon_sha256":"3642ebc4d88b6468090efdff6d15a8bfde9026f83096209aa4d853ba263542bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:13.290326Z","signature_b64":"U7/oya4MRlw2V3HMHIzLNHTK0tr+DIk9+TOqEEL8yP44h8LvwYNoIzDp8dANr0r4e06UdcWnnLfg++AkDXaMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5820319e1dead1e9ed241326dd16f737dfb0482a12ccf1336fdf841491419b8b","last_reissued_at":"2026-05-18T03:48:13.289601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:13.289601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant tensors related with natural connections for a class Riemannian product manifolds","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dobrinka Gribacheva","submitted_at":"2012-06-08T08:14:16Z","abstract_excerpt":"Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metric and the product structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1692","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":"1206.1692","created_at":"2026-05-18T03:48:13.289721+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1692v2","created_at":"2026-05-18T03:48:13.289721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1692","created_at":"2026-05-18T03:48:13.289721+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAQDDHQ55LI6","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAQDDHQ55LI6T3JE","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAQDDHQ5","created_at":"2026-05-18T12:27:14.488303+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/LAQDDHQ55LI6T3JECMTN2FXXG7","json":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7.json","graph_json":"https://pith.science/api/pith-number/LAQDDHQ55LI6T3JECMTN2FXXG7/graph.json","events_json":"https://pith.science/api/pith-number/LAQDDHQ55LI6T3JECMTN2FXXG7/events.json","paper":"https://pith.science/paper/LAQDDHQ5"},"agent_actions":{"view_html":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7","download_json":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7.json","view_paper":"https://pith.science/paper/LAQDDHQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1692&json=true","fetch_graph":"https://pith.science/api/pith-number/LAQDDHQ55LI6T3JECMTN2FXXG7/graph.json","fetch_events":"https://pith.science/api/pith-number/LAQDDHQ55LI6T3JECMTN2FXXG7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7/action/storage_attestation","attest_author":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7/action/author_attestation","sign_citation":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7/action/citation_signature","submit_replication":"https://pith.science/pith/LAQDDHQ55LI6T3JECMTN2FXXG7/action/replication_record"}},"created_at":"2026-05-18T03:48:13.289721+00:00","updated_at":"2026-05-18T03:48:13.289721+00:00"}