{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MJQZRBARHKFWVHC5GFTVCEJHTJ","short_pith_number":"pith:MJQZRBAR","schema_version":"1.0","canonical_sha256":"62619884113a8b6a9c5d31675111279a5434bba9276dddedc74e8c3a0c8185d3","source":{"kind":"arxiv","id":"1707.04186","version":2},"attestation_state":"computed","paper":{"title":"The Ricci flow on solvmanifolds of real type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Christoph B\\\"ohm, Ramiro A. Lafuente","submitted_at":"2017-07-13T15:53:31Z","abstract_excerpt":"We show that for any solvable Lie group of real type, any homogeneous Ricci flow solution converges in Cheeger-Gromov topology to a unique non-flat solvsoliton, which is independent of the initial left-invariant metric. As an application, we obtain results on the isometry groups of non-flat solvsoliton metrics and Einstein solvmanifolds."},"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":"1707.04186","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-13T15:53:31Z","cross_cats_sorted":[],"title_canon_sha256":"e933ed7a7b8265134bef7206d47ba8c34a3d5719b9ff2f90815b5df30fc27977","abstract_canon_sha256":"6866385c939c4b5865c89da3c9e05909201d6c010a8ec7954495e30f5c59a11c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:41.888897Z","signature_b64":"9/Oq6HbCFPgBlUJABnhhfv3vImnLYU0YDavi1BQYalNu0ANjL7i6rg69hwddwz6Rowdu5jvSMS5VEAwqdvWxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62619884113a8b6a9c5d31675111279a5434bba9276dddedc74e8c3a0c8185d3","last_reissued_at":"2026-05-18T00:37:41.888226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:41.888226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Ricci flow on solvmanifolds of real type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Christoph B\\\"ohm, Ramiro A. Lafuente","submitted_at":"2017-07-13T15:53:31Z","abstract_excerpt":"We show that for any solvable Lie group of real type, any homogeneous Ricci flow solution converges in Cheeger-Gromov topology to a unique non-flat solvsoliton, which is independent of the initial left-invariant metric. As an application, we obtain results on the isometry groups of non-flat solvsoliton metrics and Einstein solvmanifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04186","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":"1707.04186","created_at":"2026-05-18T00:37:41.888342+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.04186v2","created_at":"2026-05-18T00:37:41.888342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04186","created_at":"2026-05-18T00:37:41.888342+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJQZRBARHKFW","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJQZRBARHKFWVHC5","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJQZRBAR","created_at":"2026-05-18T12:31:31.346846+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/MJQZRBARHKFWVHC5GFTVCEJHTJ","json":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ.json","graph_json":"https://pith.science/api/pith-number/MJQZRBARHKFWVHC5GFTVCEJHTJ/graph.json","events_json":"https://pith.science/api/pith-number/MJQZRBARHKFWVHC5GFTVCEJHTJ/events.json","paper":"https://pith.science/paper/MJQZRBAR"},"agent_actions":{"view_html":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ","download_json":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ.json","view_paper":"https://pith.science/paper/MJQZRBAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.04186&json=true","fetch_graph":"https://pith.science/api/pith-number/MJQZRBARHKFWVHC5GFTVCEJHTJ/graph.json","fetch_events":"https://pith.science/api/pith-number/MJQZRBARHKFWVHC5GFTVCEJHTJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ/action/storage_attestation","attest_author":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ/action/author_attestation","sign_citation":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ/action/citation_signature","submit_replication":"https://pith.science/pith/MJQZRBARHKFWVHC5GFTVCEJHTJ/action/replication_record"}},"created_at":"2026-05-18T00:37:41.888342+00:00","updated_at":"2026-05-18T00:37:41.888342+00:00"}