{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YSCMEQLY6VXWATCJA4AQT4J7J2","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":"cca20cfe3fb0f044fd22a7e6098e7380dc1e0cad9d63619ac965b8379df330aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-07T07:43:16Z","title_canon_sha256":"5fad336f30aadcb1be192a5ace4837c830ccc19661e731710a19ce7990794bf7"},"schema_version":"1.0","source":{"id":"1505.01611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01611","created_at":"2026-05-18T02:16:40Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01611v1","created_at":"2026-05-18T02:16:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01611","created_at":"2026-05-18T02:16:40Z"},{"alias_kind":"pith_short_12","alias_value":"YSCMEQLY6VXW","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YSCMEQLY6VXWATCJ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YSCMEQLY","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:44dd62314fb7bcbdaac1b6b522160662f3f904ec2f1b2cc4f7bfb140fcb683f1","target":"graph","created_at":"2026-05-18T02:16:40Z","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 introduce a class of rotationally invariant manifolds, which we call \\emph{admissible}, on which the wave flow satisfies smoothing and Strichartz estimates. We deduce the global existence of equivariant wave maps from admissible manifolds to general targets, for small initial data of critical regularity $H^{\\frac n2}$. The class of admissible manifolds includes in particular asymptotically flat manifolds and perturbations of real hyperbolic spaces $\\mathbb{H}^{n}$ for $n\\ge3$.","authors_text":"Piero D'Ancona, Qidi Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-07T07:43:16Z","title":"Global existence of small equivariant wave maps on rotationally symmetric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01611","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":"sha256:91c571d1f8fc1a408e4f20d1f6f946e79033e049e9208c037f8ba26846980183","target":"record","created_at":"2026-05-18T02:16:40Z","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":"cca20cfe3fb0f044fd22a7e6098e7380dc1e0cad9d63619ac965b8379df330aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-07T07:43:16Z","title_canon_sha256":"5fad336f30aadcb1be192a5ace4837c830ccc19661e731710a19ce7990794bf7"},"schema_version":"1.0","source":{"id":"1505.01611","kind":"arxiv","version":1}},"canonical_sha256":"c484c24178f56f604c49070109f13f4e92678465dd3e36ebd995a7e44593fe4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c484c24178f56f604c49070109f13f4e92678465dd3e36ebd995a7e44593fe4c","first_computed_at":"2026-05-18T02:16:40.528559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:40.528559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIyf9ezMq0wkr3HMprhNNmebaQLHUHwvaxjh7Pf4LPCHxwjE/g0NdOfPSXnD/ctBaQgKZ5VkTu1Rjww38GyBCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:40.529306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91c571d1f8fc1a408e4f20d1f6f946e79033e049e9208c037f8ba26846980183","sha256:44dd62314fb7bcbdaac1b6b522160662f3f904ec2f1b2cc4f7bfb140fcb683f1"],"state_sha256":"2c5901192f1321156e7f2b0384b79dd69bec82321cd06246912ca5a8dda0bffd"}