{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ORKQVULIYELXJ5GWJXNXOMMSBR","short_pith_number":"pith:ORKQVULI","canonical_record":{"source":{"id":"1107.0606","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-04T12:35:20Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"6b23d0622ab5d96b573bf4c2372e3eca0ac4a379b221fd0518be507768d8fbfe","abstract_canon_sha256":"2f80c655365ced9245882dec0ad8f9989ae2134701764ff109d73af5d0e00c8d"},"schema_version":"1.0"},"canonical_sha256":"74550ad168c11774f4d64ddb7731920c75fab94722b02a5c3fa50acdbdd8cbb6","source":{"kind":"arxiv","id":"1107.0606","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0606","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0606v3","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0606","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"ORKQVULIYELX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ORKQVULIYELXJ5GW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ORKQVULI","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ORKQVULIYELXJ5GWJXNXOMMSBR","target":"record","payload":{"canonical_record":{"source":{"id":"1107.0606","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-04T12:35:20Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"6b23d0622ab5d96b573bf4c2372e3eca0ac4a379b221fd0518be507768d8fbfe","abstract_canon_sha256":"2f80c655365ced9245882dec0ad8f9989ae2134701764ff109d73af5d0e00c8d"},"schema_version":"1.0"},"canonical_sha256":"74550ad168c11774f4d64ddb7731920c75fab94722b02a5c3fa50acdbdd8cbb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:54.827748Z","signature_b64":"wRVGhbAq11Ms50GwqVYL1uF35AYsixeC4XFOGm2XRHcvNWOOB1lTBOIyx4LAInHuFaHbsnrhYtEF9MXOY3oQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74550ad168c11774f4d64ddb7731920c75fab94722b02a5c3fa50acdbdd8cbb6","last_reissued_at":"2026-05-18T04:14:54.827038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:54.827038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.0606","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":"2026-05-18T04:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VPFfU8/OVGVSwKUeYGteIQh3CnE2Cye56k4WHx85o+fWcyNW4wfcD4Vo6uszwXQ+Zqxov3EA63hdbRi3n1bbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:54:11.283683Z"},"content_sha256":"b2389293069bedc92ce53a7467e6e52162dbde33bdf1fd9ecd5ab67b70facd49","schema_version":"1.0","event_id":"sha256:b2389293069bedc92ce53a7467e6e52162dbde33bdf1fd9ecd5ab67b70facd49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ORKQVULIYELXJ5GWJXNXOMMSBR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How to produce a Ricci Flow via Cheeger-Gromoll exhaustion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Burkhard Wilking, Esther Cabezas-Rivas","submitted_at":"2011-07-04T12:35:20Z","abstract_excerpt":"We prove short time existence for the Ricci flow on open manifolds of nonnegative complex sectional curvature. We do not require upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger-Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with nonnegative complex sectional curvature which subconverge to a solution of the Ricci flow on the open manifold. Furthermore, we find an optimal volume growth condition which guarantees long time exi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0606","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":"2026-05-18T04:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZX2YAEThwJYEbtYL0xYQ+wIsNDMQ07Unpk5vXem69gF+0fggcGTZHzXTZq7IEo8Rzea3kw+wTreLN56m0swdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:54:11.284029Z"},"content_sha256":"569ad99ea61f6fe62b53433ef013c82ddf3d3921e825ecef324a27c702ecaa7d","schema_version":"1.0","event_id":"sha256:569ad99ea61f6fe62b53433ef013c82ddf3d3921e825ecef324a27c702ecaa7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/bundle.json","state_url":"https://pith.science/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/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":"2026-06-26T01:54:11Z","links":{"resolver":"https://pith.science/pith/ORKQVULIYELXJ5GWJXNXOMMSBR","bundle":"https://pith.science/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/bundle.json","state":"https://pith.science/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORKQVULIYELXJ5GWJXNXOMMSBR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ORKQVULIYELXJ5GWJXNXOMMSBR","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":"2f80c655365ced9245882dec0ad8f9989ae2134701764ff109d73af5d0e00c8d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-04T12:35:20Z","title_canon_sha256":"6b23d0622ab5d96b573bf4c2372e3eca0ac4a379b221fd0518be507768d8fbfe"},"schema_version":"1.0","source":{"id":"1107.0606","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0606","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0606v3","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0606","created_at":"2026-05-18T04:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"ORKQVULIYELX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ORKQVULIYELXJ5GW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ORKQVULI","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:569ad99ea61f6fe62b53433ef013c82ddf3d3921e825ecef324a27c702ecaa7d","target":"graph","created_at":"2026-05-18T04:14:54Z","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 prove short time existence for the Ricci flow on open manifolds of nonnegative complex sectional curvature. We do not require upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger-Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with nonnegative complex sectional curvature which subconverge to a solution of the Ricci flow on the open manifold. Furthermore, we find an optimal volume growth condition which guarantees long time exi","authors_text":"Burkhard Wilking, Esther Cabezas-Rivas","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-04T12:35:20Z","title":"How to produce a Ricci Flow via Cheeger-Gromoll exhaustion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0606","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:b2389293069bedc92ce53a7467e6e52162dbde33bdf1fd9ecd5ab67b70facd49","target":"record","created_at":"2026-05-18T04:14:54Z","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":"2f80c655365ced9245882dec0ad8f9989ae2134701764ff109d73af5d0e00c8d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-04T12:35:20Z","title_canon_sha256":"6b23d0622ab5d96b573bf4c2372e3eca0ac4a379b221fd0518be507768d8fbfe"},"schema_version":"1.0","source":{"id":"1107.0606","kind":"arxiv","version":3}},"canonical_sha256":"74550ad168c11774f4d64ddb7731920c75fab94722b02a5c3fa50acdbdd8cbb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74550ad168c11774f4d64ddb7731920c75fab94722b02a5c3fa50acdbdd8cbb6","first_computed_at":"2026-05-18T04:14:54.827038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:54.827038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wRVGhbAq11Ms50GwqVYL1uF35AYsixeC4XFOGm2XRHcvNWOOB1lTBOIyx4LAInHuFaHbsnrhYtEF9MXOY3oQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:54.827748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0606","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2389293069bedc92ce53a7467e6e52162dbde33bdf1fd9ecd5ab67b70facd49","sha256:569ad99ea61f6fe62b53433ef013c82ddf3d3921e825ecef324a27c702ecaa7d"],"state_sha256":"c6a28479e70002fa8a1ae14653ccd5808d6354c29187879fa3fae15ff3da9cde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JXRyNAa6rljFUe3A8x/284opHsRn6LNHcdzQiUnK842CnEd4W/l/RMlgEwDAoqX61nHwah6IJfdg1mxkBtOQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:54:11.286048Z","bundle_sha256":"f3ca62d04b8b357d3c94628018b64e2645cbdf42ec339fdf4fbe1b3c00ff7eb8"}}