{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HMVCD5BUPJABP4QQ4NWS2E3ZHO","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":"ebef6d23410a38b04ab3b8d1907f11f37854cc7f81a4f010e0a8b27107c4ad19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-08T11:19:03Z","title_canon_sha256":"57e584f2e5351e4ae172f8b5029e8406a8d4276074892068dd7a10bf2d9632b3"},"schema_version":"1.0","source":{"id":"1907.03516","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03516","created_at":"2026-05-17T23:41:14Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03516v1","created_at":"2026-05-17T23:41:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03516","created_at":"2026-05-17T23:41:14Z"},{"alias_kind":"pith_short_12","alias_value":"HMVCD5BUPJAB","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HMVCD5BUPJABP4QQ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HMVCD5BU","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:1647b25d499e703945d4d5e1abceee290c64590894d6c211ef8d6a82438fe96d","target":"graph","created_at":"2026-05-17T23:41:14Z","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":"In this article we will prove the global existence of a type of wave-Klein-Gordon system in $2+1$ spacetime dimension. Some technical tools such as conformal energy estimate on hyperboloid, normal form transform on Klein-Gordon equations will be adapted to this $2+1$ dimensional case.","authors_text":"Yue Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-08T11:19:03Z","title":"Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03516","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":"sha256:94fd35e3f496c4772f443a7ca72b62ca8056c2fb6fc936d69987b6d1cad487f5","target":"record","created_at":"2026-05-17T23:41:14Z","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":"ebef6d23410a38b04ab3b8d1907f11f37854cc7f81a4f010e0a8b27107c4ad19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-08T11:19:03Z","title_canon_sha256":"57e584f2e5351e4ae172f8b5029e8406a8d4276074892068dd7a10bf2d9632b3"},"schema_version":"1.0","source":{"id":"1907.03516","kind":"arxiv","version":1}},"canonical_sha256":"3b2a21f4347a4017f210e36d2d13793ba2f7f9c72ff40c5222605ecd9bd76248","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b2a21f4347a4017f210e36d2d13793ba2f7f9c72ff40c5222605ecd9bd76248","first_computed_at":"2026-05-17T23:41:14.410926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:14.410926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WHxZeE/1ylZjOtfYp4ssLddI8CDDuwvozX1TNAr8xUKxnSR7MkmZr3TGahvNcol+qTe4Nksn3pUYWbzpDfCVBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:14.411273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03516","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94fd35e3f496c4772f443a7ca72b62ca8056c2fb6fc936d69987b6d1cad487f5","sha256:1647b25d499e703945d4d5e1abceee290c64590894d6c211ef8d6a82438fe96d"],"state_sha256":"9f379e9b9dfef1f2e933aae8c5861f382c2007ec746bb639387f9617fa20302f"}