{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6OM5XE4TV2GUGHQLAIVDRRKEY2","short_pith_number":"pith:6OM5XE4T","canonical_record":{"source":{"id":"1401.3738","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-15T20:56:59Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"ad209cbaf50210fbf32267d4f5e7d72acd6f118debd4be3275603247969e2fdb","abstract_canon_sha256":"48b843ac77fdcc468a0ff4b17f47e9dcc838db5140fb487eb0e600c1de0873f8"},"schema_version":"1.0"},"canonical_sha256":"f399db9393ae8d431e0b022a38c544c6817bd0b6d8354ba9a0a2e3d475692b96","source":{"kind":"arxiv","id":"1401.3738","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3738","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3738v3","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3738","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"6OM5XE4TV2GU","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6OM5XE4TV2GUGHQL","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6OM5XE4T","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6OM5XE4TV2GUGHQLAIVDRRKEY2","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3738","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-15T20:56:59Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"ad209cbaf50210fbf32267d4f5e7d72acd6f118debd4be3275603247969e2fdb","abstract_canon_sha256":"48b843ac77fdcc468a0ff4b17f47e9dcc838db5140fb487eb0e600c1de0873f8"},"schema_version":"1.0"},"canonical_sha256":"f399db9393ae8d431e0b022a38c544c6817bd0b6d8354ba9a0a2e3d475692b96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:38.916029Z","signature_b64":"eDm0BXL8AydD3O3EPMV9FVNfxFD7bU0cWVGPB9G9W8jZZmISc/F7usOc+z0Fv1HpjQmLZSvqXTxZltU87jhJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f399db9393ae8d431e0b022a38c544c6817bd0b6d8354ba9a0a2e3d475692b96","last_reissued_at":"2026-05-18T01:59:38.915106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:38.915106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3738","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOXMyg5p+rEJWd8ZNwWsy+KUYYDTSjHaftFTXYbeIQNvCY2j5I/50mJ96qFBs95V36tOFkYt9KdYaxnKPH/NBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:17:53.397223Z"},"content_sha256":"6c25647f8f7290927630786858367bd66ddc971d564a59f22cd22888a529860b","schema_version":"1.0","event_id":"sha256:6c25647f8f7290927630786858367bd66ddc971d564a59f22cd22888a529860b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6OM5XE4TV2GUGHQLAIVDRRKEY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slowly converging Yamabe flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Alessandro Carlotto, Otis Chodosh, Yanir A. Rubinstein","submitted_at":"2014-01-15T20:56:59Z","abstract_excerpt":"We characterize the rate of convergence of a converging volume-normalized Yamabe flow in terms of Morse theoretic properties of the limiting metric. If the limiting metric is an integrable critical point for the Yamabe functional (for example, this holds when the critical point is non-degenerate), then we show that the flow converges exponentially fast. In general, we make use of a suitable Lojasiewicz-Simon inequality to prove that the slowest the flow will converge is polynomially. When the limit metric satisfies an Adams-Simon type condition we prove that there exist flows converging to it "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3738","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpceSPt2hMqE3/kFImNCWYcGtY7x8G5YvOyKitr4JfBlzlhpyUY/cav7SVgF7I6d6W2d+W3QU0eSmwx2pS9rDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:17:53.397912Z"},"content_sha256":"3fc416befeab8800cd1a3e85f1098d7a3263e8be94f1fcc4b1696f4670456250","schema_version":"1.0","event_id":"sha256:3fc416befeab8800cd1a3e85f1098d7a3263e8be94f1fcc4b1696f4670456250"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/bundle.json","state_url":"https://pith.science/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T01:17:53Z","links":{"resolver":"https://pith.science/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2","bundle":"https://pith.science/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/bundle.json","state":"https://pith.science/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6OM5XE4TV2GUGHQLAIVDRRKEY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6OM5XE4TV2GUGHQLAIVDRRKEY2","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":"48b843ac77fdcc468a0ff4b17f47e9dcc838db5140fb487eb0e600c1de0873f8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-15T20:56:59Z","title_canon_sha256":"ad209cbaf50210fbf32267d4f5e7d72acd6f118debd4be3275603247969e2fdb"},"schema_version":"1.0","source":{"id":"1401.3738","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3738","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3738v3","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3738","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"6OM5XE4TV2GU","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6OM5XE4TV2GUGHQL","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6OM5XE4T","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:3fc416befeab8800cd1a3e85f1098d7a3263e8be94f1fcc4b1696f4670456250","target":"graph","created_at":"2026-05-18T01:59:38Z","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":"We characterize the rate of convergence of a converging volume-normalized Yamabe flow in terms of Morse theoretic properties of the limiting metric. If the limiting metric is an integrable critical point for the Yamabe functional (for example, this holds when the critical point is non-degenerate), then we show that the flow converges exponentially fast. In general, we make use of a suitable Lojasiewicz-Simon inequality to prove that the slowest the flow will converge is polynomially. When the limit metric satisfies an Adams-Simon type condition we prove that there exist flows converging to it ","authors_text":"Alessandro Carlotto, Otis Chodosh, Yanir A. Rubinstein","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-15T20:56:59Z","title":"Slowly converging Yamabe flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3738","kind":"arxiv","version":3},"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":"sha256:6c25647f8f7290927630786858367bd66ddc971d564a59f22cd22888a529860b","target":"record","created_at":"2026-05-18T01:59:38Z","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":"48b843ac77fdcc468a0ff4b17f47e9dcc838db5140fb487eb0e600c1de0873f8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-15T20:56:59Z","title_canon_sha256":"ad209cbaf50210fbf32267d4f5e7d72acd6f118debd4be3275603247969e2fdb"},"schema_version":"1.0","source":{"id":"1401.3738","kind":"arxiv","version":3}},"canonical_sha256":"f399db9393ae8d431e0b022a38c544c6817bd0b6d8354ba9a0a2e3d475692b96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f399db9393ae8d431e0b022a38c544c6817bd0b6d8354ba9a0a2e3d475692b96","first_computed_at":"2026-05-18T01:59:38.915106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:38.915106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eDm0BXL8AydD3O3EPMV9FVNfxFD7bU0cWVGPB9G9W8jZZmISc/F7usOc+z0Fv1HpjQmLZSvqXTxZltU87jhJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:38.916029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3738","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c25647f8f7290927630786858367bd66ddc971d564a59f22cd22888a529860b","sha256:3fc416befeab8800cd1a3e85f1098d7a3263e8be94f1fcc4b1696f4670456250"],"state_sha256":"905d0b7f0880f16bf7cce413b9154122e23646e2262b8b04e1c99500028c2b13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ljk9/geWcZ1WtCpQfIsncYbmwU/6DABvrW7wzHSYFH0pKsxC/z7/DMQpXVBIXlqSHebPCG1rMYxIogVkykbBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:17:53.401529Z","bundle_sha256":"f652a47c45b126f103c6da226a86ab09f830881e492dd3c8f3dea24e17fd90b2"}}