{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZSDDTIUUS2EXYV4GTV4QFZL6ID","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":"8fdbb8e2543b0fb46511faed8a31b13c39a746e243c4d0aedddfd7653f762647","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-27T15:03:39Z","title_canon_sha256":"4b4a4195274b8cbfc8e4908b5ce460bbaeb49aecf374f218c9f2c23caf675311"},"schema_version":"1.0","source":{"id":"1709.09568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.09568","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1709.09568v1","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09568","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZSDDTIUUS2EX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZSDDTIUUS2EXYV4G","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZSDDTIUU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:3e54fb7d80cd849c6e83c666da4f3cbd72e8647f835492ccb764a15572a86b30","target":"graph","created_at":"2026-05-18T00:05:46Z","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 arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Soler-type nonlinearity and the Dirac-Klein-Gordon system in critical spaces in spatial dimension three are established.","authors_text":"Sebastian Herr, Timothy Candy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-27T15:03:39Z","title":"On the Majorana condition for nonlinear Dirac systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09568","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:fc98309483d774a6496853962ca3f4df30033d567168954c192b64cf87e9baa4","target":"record","created_at":"2026-05-18T00:05:46Z","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":"8fdbb8e2543b0fb46511faed8a31b13c39a746e243c4d0aedddfd7653f762647","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-27T15:03:39Z","title_canon_sha256":"4b4a4195274b8cbfc8e4908b5ce460bbaeb49aecf374f218c9f2c23caf675311"},"schema_version":"1.0","source":{"id":"1709.09568","kind":"arxiv","version":1}},"canonical_sha256":"cc8639a29496897c57869d7902e57e40d3fd45d749a61ab4015b69f438917964","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc8639a29496897c57869d7902e57e40d3fd45d749a61ab4015b69f438917964","first_computed_at":"2026-05-18T00:05:46.151146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:46.151146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HFsATWJJWUnTnm5y4iFrxx5tj3jsCe5WdMrB77xgXoanXMbIq1Gf6k87B4N9PQaLYlgmnaAoXdtgLE5UbcAkAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:46.151760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.09568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc98309483d774a6496853962ca3f4df30033d567168954c192b64cf87e9baa4","sha256:3e54fb7d80cd849c6e83c666da4f3cbd72e8647f835492ccb764a15572a86b30"],"state_sha256":"ebb21aecc4469b92c7040a5b0805d2905ac604edba462b682e6ecf8ad2a32ed7"}