{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TC6BH2E2D23JK2RLSKNV5K6YNV","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":"1081d352e8c95259850006861486030ed6ec945918e869256499e571b61ee4e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-12T14:58:17Z","title_canon_sha256":"d78d0bee72bf891c898911d83b2d95ce9a16b20f9b66e4839a159edbb3cb3bfc"},"schema_version":"1.0","source":{"id":"1010.2407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2407","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2407v1","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2407","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"TC6BH2E2D23J","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TC6BH2E2D23JK2RL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TC6BH2E2","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:5eac516237782975b85b4e7f770ed6d5d46591ae9d3e3d248aebc29b7feecaa1","target":"graph","created_at":"2026-05-18T04:39:28Z","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":"Nonexistence of quasi-harmonic spheres is necessary for long time existence and convergence of harmonic map heat flows. Let $(N,h)$ be a complete noncompact Riemannian manifolds. Assume the universal covering of $(N,h)$ admits a nonnegative strictly convex function with polynomial growth. Then there is no quasi-harmonic spheres $u:\\mathbb{R}^n\\ra N$ such that $$\\lim_{r\\ra\\infty}r^ne^{-\\f{r^2}{4}}\\int_{|x|\\leq r}e^{-\\f{|x|^2}{4}}|\\nabla u|^2dx=0.$$ This generalizes a result of the first named author and X. Zhu (Calc. Var., 2009). Our method is essentially the Moser iteration and thus very simpl","authors_text":"Jiayu Li, Yunyan Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-12T14:58:17Z","title":"Nonexistence of quasi-harmonic sphere with large energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2407","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:e2038a9b2a50b03cab101c179c14294be85e37b8c55542bc9450c3f86408cdf0","target":"record","created_at":"2026-05-18T04:39:28Z","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":"1081d352e8c95259850006861486030ed6ec945918e869256499e571b61ee4e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-12T14:58:17Z","title_canon_sha256":"d78d0bee72bf891c898911d83b2d95ce9a16b20f9b66e4839a159edbb3cb3bfc"},"schema_version":"1.0","source":{"id":"1010.2407","kind":"arxiv","version":1}},"canonical_sha256":"98bc13e89a1eb6956a2b929b5eabd86d78ad0b845844e72cf7a8d6622484513d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98bc13e89a1eb6956a2b929b5eabd86d78ad0b845844e72cf7a8d6622484513d","first_computed_at":"2026-05-18T04:39:28.066443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:28.066443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yxKA8j0IkKzmMBvclO24nz0B4D/GT4RG3hJr4j6ayglUvBHf1yVGbeO/UdHQk0kL4JcoDSJyz3cxSzDXy9tcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:28.067082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2038a9b2a50b03cab101c179c14294be85e37b8c55542bc9450c3f86408cdf0","sha256:5eac516237782975b85b4e7f770ed6d5d46591ae9d3e3d248aebc29b7feecaa1"],"state_sha256":"6ca0c891aa0b1845ec46ed0b5cc23d4c51d4d649dcd47eceaac07548410bfe32"}