{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BSYI2O2JAZSUTJ5SGYRFJN4ZRZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7f8c1921a57f03ff52e93e136c25f154d79547fd41a8500d33a4ce1650013b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-11-08T14:46:59Z","title_canon_sha256":"38bd0a0a210765dfe0ec15309bb9f17270325a4adbddaa95087895dbea4fdec0"},"schema_version":"1.0","source":{"id":"1711.02978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02978","created_at":"2026-05-18T00:31:01Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02978v1","created_at":"2026-05-18T00:31:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02978","created_at":"2026-05-18T00:31:01Z"},{"alias_kind":"pith_short_12","alias_value":"BSYI2O2JAZSU","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BSYI2O2JAZSUTJ5S","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BSYI2O2J","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:554875437826adf37e26fd1aec0024f3d07b996fbb151db0f40e9b20a323bf44","target":"graph","created_at":"2026-05-18T00:31:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields. Several fundamental results of such solitons were proved. In particular, we classify such Yamabe and quasi-Yamabe solitons on Euclidean hypersurfaces.","authors_text":"Bang-Yen Chen, Sharief Deshmukh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-11-08T14:46:59Z","title":"Yamabe and quasi-Yamabe solitons on Euclidean submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02978","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fe247cb7fac830149ad3a826c443ebe151ebc3223972214be2181e31f8b1e94c","target":"record","created_at":"2026-05-18T00:31:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7f8c1921a57f03ff52e93e136c25f154d79547fd41a8500d33a4ce1650013b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-11-08T14:46:59Z","title_canon_sha256":"38bd0a0a210765dfe0ec15309bb9f17270325a4adbddaa95087895dbea4fdec0"},"schema_version":"1.0","source":{"id":"1711.02978","kind":"arxiv","version":1}},"canonical_sha256":"0cb08d3b49066549a7b2362254b7998e64003b1f241e9f3744c055b31576d67e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cb08d3b49066549a7b2362254b7998e64003b1f241e9f3744c055b31576d67e","first_computed_at":"2026-05-18T00:31:01.207763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:01.207763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ljrk4PNlT0tc1lM6+M4oyCpbnGBaow7aJJPSKozRPvZAufBDb7N7hfhSdyriVaiX3rPfnJUvvubmRwC9Y7ryCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:01.208414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe247cb7fac830149ad3a826c443ebe151ebc3223972214be2181e31f8b1e94c","sha256:554875437826adf37e26fd1aec0024f3d07b996fbb151db0f40e9b20a323bf44"],"state_sha256":"6dcd992f0c4f099f39f32abd9f09ee2b6ac1d824c64bae5995d9682cfcc2228b"}