{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RI6C5VXZXBK57MLCHME5TSFF6C","short_pith_number":"pith:RI6C5VXZ","canonical_record":{"source":{"id":"1212.2566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-11T18:04:24Z","cross_cats_sorted":[],"title_canon_sha256":"735e8131f7a838d106210b171f039479ee9b30444359bb3564c71b83b704e7b6","abstract_canon_sha256":"5f3b9a5b9d3ff7c5902e718a6fa6f24dd6e972c4a1750553fa3ee34469f70cf9"},"schema_version":"1.0"},"canonical_sha256":"8a3c2ed6f9b855dfb1623b09d9c8a5f0af14737927e77d3bfd1152fb23bcf74b","source":{"kind":"arxiv","id":"1212.2566","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2566","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2566v1","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2566","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"RI6C5VXZXBK5","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RI6C5VXZXBK57MLC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RI6C5VXZ","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RI6C5VXZXBK57MLCHME5TSFF6C","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-11T18:04:24Z","cross_cats_sorted":[],"title_canon_sha256":"735e8131f7a838d106210b171f039479ee9b30444359bb3564c71b83b704e7b6","abstract_canon_sha256":"5f3b9a5b9d3ff7c5902e718a6fa6f24dd6e972c4a1750553fa3ee34469f70cf9"},"schema_version":"1.0"},"canonical_sha256":"8a3c2ed6f9b855dfb1623b09d9c8a5f0af14737927e77d3bfd1152fb23bcf74b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:53.420418Z","signature_b64":"urnxRxW05yrxMt8MkY5hDBuGrO4XqkUXIXAtt7pejKKay/ZTddqGm6p+SV5p2SWrJX3xRI8qtsWIIyKrp3bJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a3c2ed6f9b855dfb1623b09d9c8a5f0af14737927e77d3bfd1152fb23bcf74b","last_reissued_at":"2026-05-18T01:12:53.420008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:53.420008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2566","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aG5Ljy5R4Z//GIq0V4dvrA88xV1WOfOEF8u1jRNgf6j5rHz/X3QXU7uU+XepLiKEBc5hWhekvAgVtUSwR6wgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:58:18.899995Z"},"content_sha256":"a4f87f37b848cc59ffd72410850f99e94f60dbd336555aecacf3efaaa8743670","schema_version":"1.0","event_id":"sha256:a4f87f37b848cc59ffd72410850f99e94f60dbd336555aecacf3efaaa8743670"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RI6C5VXZXBK57MLCHME5TSFF6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivariant Schr\\\"odinger Maps in two spatial dimensions: the $\\H^2$ target","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexandru Ionescu, Carlos E. Kenig, Daniel Tataru, Ioan Bejenaru","submitted_at":"2012-12-11T18:04:24Z","abstract_excerpt":"We consider equivariant solutions for the Schr\\\"odinger map problem from $\\R^{2+1}$ to $\\H^2$ with finite energy and show that they are global in time and scatter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2566","kind":"arxiv","version":1},"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":"2026-05-18T01:12:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"75vlKZqOzV1R6hIvO1OnxecQ3Fmev3DvICojwgJ5h+mDK5P/HQAyZSNOgIUrLQqZRYQo/BMncugJ3ek0qj6jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:58:18.900655Z"},"content_sha256":"c5614237ca823dbead446864501b348cf2f0c89e6505bd5889e3b5de237fb3d8","schema_version":"1.0","event_id":"sha256:c5614237ca823dbead446864501b348cf2f0c89e6505bd5889e3b5de237fb3d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RI6C5VXZXBK57MLCHME5TSFF6C/bundle.json","state_url":"https://pith.science/pith/RI6C5VXZXBK57MLCHME5TSFF6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RI6C5VXZXBK57MLCHME5TSFF6C/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":"2026-05-26T10:58:18Z","links":{"resolver":"https://pith.science/pith/RI6C5VXZXBK57MLCHME5TSFF6C","bundle":"https://pith.science/pith/RI6C5VXZXBK57MLCHME5TSFF6C/bundle.json","state":"https://pith.science/pith/RI6C5VXZXBK57MLCHME5TSFF6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RI6C5VXZXBK57MLCHME5TSFF6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RI6C5VXZXBK57MLCHME5TSFF6C","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":"5f3b9a5b9d3ff7c5902e718a6fa6f24dd6e972c4a1750553fa3ee34469f70cf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-11T18:04:24Z","title_canon_sha256":"735e8131f7a838d106210b171f039479ee9b30444359bb3564c71b83b704e7b6"},"schema_version":"1.0","source":{"id":"1212.2566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2566","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2566v1","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2566","created_at":"2026-05-18T01:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"RI6C5VXZXBK5","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RI6C5VXZXBK57MLC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RI6C5VXZ","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:c5614237ca823dbead446864501b348cf2f0c89e6505bd5889e3b5de237fb3d8","target":"graph","created_at":"2026-05-18T01:12:53Z","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 consider equivariant solutions for the Schr\\\"odinger map problem from $\\R^{2+1}$ to $\\H^2$ with finite energy and show that they are global in time and scatter.","authors_text":"Alexandru Ionescu, Carlos E. Kenig, Daniel Tataru, Ioan Bejenaru","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-11T18:04:24Z","title":"Equivariant Schr\\\"odinger Maps in two spatial dimensions: the $\\H^2$ target"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2566","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:a4f87f37b848cc59ffd72410850f99e94f60dbd336555aecacf3efaaa8743670","target":"record","created_at":"2026-05-18T01:12:53Z","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":"5f3b9a5b9d3ff7c5902e718a6fa6f24dd6e972c4a1750553fa3ee34469f70cf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-11T18:04:24Z","title_canon_sha256":"735e8131f7a838d106210b171f039479ee9b30444359bb3564c71b83b704e7b6"},"schema_version":"1.0","source":{"id":"1212.2566","kind":"arxiv","version":1}},"canonical_sha256":"8a3c2ed6f9b855dfb1623b09d9c8a5f0af14737927e77d3bfd1152fb23bcf74b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a3c2ed6f9b855dfb1623b09d9c8a5f0af14737927e77d3bfd1152fb23bcf74b","first_computed_at":"2026-05-18T01:12:53.420008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:53.420008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"urnxRxW05yrxMt8MkY5hDBuGrO4XqkUXIXAtt7pejKKay/ZTddqGm6p+SV5p2SWrJX3xRI8qtsWIIyKrp3bJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:53.420418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4f87f37b848cc59ffd72410850f99e94f60dbd336555aecacf3efaaa8743670","sha256:c5614237ca823dbead446864501b348cf2f0c89e6505bd5889e3b5de237fb3d8"],"state_sha256":"89d395c61bb13a5b1eb8facfe6bdffe4d8e0de0b6ce8d669b1ee2ba4808f6ca3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZ+aKMPdatUA6bsXcZVl1XlKuYieXLvnWN85u/UFtf5ucWJAq4bG0FKBBkDUzCp760GuDxgsxyo9MOFpm5f1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:58:18.904264Z","bundle_sha256":"3ec33ef6c2961f6745fbf5c7bd07e2feaaa1f0d7dfcb5fc78e424472b7aa1252"}}