{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CNBZDDZ3DWGP6KR2BRIMTMCDA7","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":"c407e5087256846fa355415d1e21039192bd5f9352824516011300d2e3f25efd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-30T12:51:43Z","title_canon_sha256":"7aead2bfc24250216cd766d6fdff6f2b46cfd77234737db3283ace2efe07e6ed"},"schema_version":"1.0","source":{"id":"1212.6709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6709","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6709v1","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6709","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"pith_short_12","alias_value":"CNBZDDZ3DWGP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CNBZDDZ3DWGP6KR2","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CNBZDDZ3","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:44ac2eb8e97eb0e8539c130c47d0ec18214226e98ffe6074e41881b4911bff24","target":"graph","created_at":"2026-05-18T03:37:31Z","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":"For the Schr\\\"odinger map problem from 2+1 dimensions into the 2-sphere we prove the existence of equivariant finite time blow up solutions that are close to a dynamically rescaled lowest energy harmonic map, the scaling parameter being given by $t^{-\\nu}$ with $\\nu>3/2$.","authors_text":"Galina Perelman (LAMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-30T12:51:43Z","title":"Blow up dynamics for equivariant critical Schr\\\"odinger maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6709","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":"sha256:3cd269d9dd959b25333ae1ce93fda9df9e27a25ebb3f56d8c4417149f58f1786","target":"record","created_at":"2026-05-18T03:37:31Z","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":"c407e5087256846fa355415d1e21039192bd5f9352824516011300d2e3f25efd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-30T12:51:43Z","title_canon_sha256":"7aead2bfc24250216cd766d6fdff6f2b46cfd77234737db3283ace2efe07e6ed"},"schema_version":"1.0","source":{"id":"1212.6709","kind":"arxiv","version":1}},"canonical_sha256":"1343918f3b1d8cff2a3a0c50c9b04307c0c0f5008c7da2c5ae73aabb37157581","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1343918f3b1d8cff2a3a0c50c9b04307c0c0f5008c7da2c5ae73aabb37157581","first_computed_at":"2026-05-18T03:37:31.139619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:31.139619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51tlVHSlu7Px1VcDPdhuArcMdXO4zw7fKQFBeRyFSYyLSGw7kexJOaciFivUiO1hjMfySOAL6+j2UEdr7XeCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:31.140407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cd269d9dd959b25333ae1ce93fda9df9e27a25ebb3f56d8c4417149f58f1786","sha256:44ac2eb8e97eb0e8539c130c47d0ec18214226e98ffe6074e41881b4911bff24"],"state_sha256":"e99bdd1bb208e01d24ab9b3ab5b65632a5cc8c9a949fbca9bb1d7bd58fc9ed0a"}