{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MJENFUDQMTZFELEXTA53ZWKK7D","short_pith_number":"pith:MJENFUDQ","schema_version":"1.0","canonical_sha256":"6248d2d07064f2522c97983bbcd94af8c8d64536a373c949f71956c8769d70b3","source":{"kind":"arxiv","id":"2403.00708","version":2},"attestation_state":"computed","paper":{"title":"On the Hamilton-Lott conjecture in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Alix Deruelle, Felix Schulze, Miles Simon","submitted_at":"2024-03-01T17:50:19Z","abstract_excerpt":"We study $n$-dimensional Ricci flows with non-negative Ricci curvature where the curvature is pointwise controlled by the scalar curvature and bounded by $C/t$, starting at metric cones which are Reifenberg outside the tip. We show that any such flow behaves like a self-similar solution up to an exponential error in time. As an application, we show that smooth $n$-dimensional complete non-compact Riemannian manifolds which are uniformly PIC1-pinched, with positive asymptotic volume ratio, are Euclidean. This confirms a higher dimensional version of a conjecture of Hamilton and Lott under the a"},"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":"2403.00708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-03-01T17:50:19Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"61937d1746ba7d26cdbbcf44cc0d9a6e0a76922e52f536f0d3ec24057ba3e206","abstract_canon_sha256":"cd969521bbc14a551bbd42345910636b92bc350191c1e31b16b047697df8b8bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:57:00.533889Z","signature_b64":"7kUq8/5HD5iz7jd1RLL0Ro9pOnwNJdip7KTwac8VqA+TYB80bdLXRDdwijF/Pb3tnLAnBZ8p97ljBJ6qOGIHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6248d2d07064f2522c97983bbcd94af8c8d64536a373c949f71956c8769d70b3","last_reissued_at":"2026-07-05T07:57:00.533430Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:57:00.533430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Hamilton-Lott conjecture in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Alix Deruelle, Felix Schulze, Miles Simon","submitted_at":"2024-03-01T17:50:19Z","abstract_excerpt":"We study $n$-dimensional Ricci flows with non-negative Ricci curvature where the curvature is pointwise controlled by the scalar curvature and bounded by $C/t$, starting at metric cones which are Reifenberg outside the tip. We show that any such flow behaves like a self-similar solution up to an exponential error in time. As an application, we show that smooth $n$-dimensional complete non-compact Riemannian manifolds which are uniformly PIC1-pinched, with positive asymptotic volume ratio, are Euclidean. This confirms a higher dimensional version of a conjecture of Hamilton and Lott under the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.00708","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.00708/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2403.00708","created_at":"2026-07-05T07:57:00.533490+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.00708v2","created_at":"2026-07-05T07:57:00.533490+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.00708","created_at":"2026-07-05T07:57:00.533490+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJENFUDQMTZF","created_at":"2026-07-05T07:57:00.533490+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJENFUDQMTZFELEX","created_at":"2026-07-05T07:57:00.533490+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJENFUDQ","created_at":"2026-07-05T07:57:00.533490+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.10837","citing_title":"On an invariant curvature cone along 4-dimensional Ricci flow","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10837","citing_title":"On an invariant curvature cone along 4-dimensional Ricci flow","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D","json":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D.json","graph_json":"https://pith.science/api/pith-number/MJENFUDQMTZFELEXTA53ZWKK7D/graph.json","events_json":"https://pith.science/api/pith-number/MJENFUDQMTZFELEXTA53ZWKK7D/events.json","paper":"https://pith.science/paper/MJENFUDQ"},"agent_actions":{"view_html":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D","download_json":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D.json","view_paper":"https://pith.science/paper/MJENFUDQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.00708&json=true","fetch_graph":"https://pith.science/api/pith-number/MJENFUDQMTZFELEXTA53ZWKK7D/graph.json","fetch_events":"https://pith.science/api/pith-number/MJENFUDQMTZFELEXTA53ZWKK7D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D/action/storage_attestation","attest_author":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D/action/author_attestation","sign_citation":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D/action/citation_signature","submit_replication":"https://pith.science/pith/MJENFUDQMTZFELEXTA53ZWKK7D/action/replication_record"}},"created_at":"2026-07-05T07:57:00.533490+00:00","updated_at":"2026-07-05T07:57:00.533490+00:00"}