{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:23IHO7PUF7LBFDRNIOILILMVP3","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":"0627653df0d64de86b912ea5f2200be003b469abc74bdc2ece758943a6e27d12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-23T06:06:57Z","title_canon_sha256":"213d72e14ba6e2218a618f8a2cbea0e868f4511983e6da9771a58aa03cc5ac55"},"schema_version":"1.0","source":{"id":"1808.07642","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.07642","created_at":"2026-05-18T00:07:26Z"},{"alias_kind":"arxiv_version","alias_value":"1808.07642v1","created_at":"2026-05-18T00:07:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07642","created_at":"2026-05-18T00:07:26Z"},{"alias_kind":"pith_short_12","alias_value":"23IHO7PUF7LB","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"23IHO7PUF7LBFDRN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"23IHO7PU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:7fe40112759472a4b00d24a8b6b589fc4672be7b0f8508d0cb0a5e2c1481d6f4","target":"graph","created_at":"2026-05-18T00:07:26Z","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 show the ill-posedness of the Cauchy problem for the Dirac-Klein-Gordon system in one dimension in the critical Sobolev space. From this, we finish the classification of the regularities for which this problem is well-posed or ill-posed.","authors_text":"Mamoru Okamoto, Shuji Machihara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-23T06:06:57Z","title":"Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07642","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":"sha256:4316ce8beb323144b46efa1d941206f0e580153b956c2625945c6431420543a5","target":"record","created_at":"2026-05-18T00:07:26Z","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":"0627653df0d64de86b912ea5f2200be003b469abc74bdc2ece758943a6e27d12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-23T06:06:57Z","title_canon_sha256":"213d72e14ba6e2218a618f8a2cbea0e868f4511983e6da9771a58aa03cc5ac55"},"schema_version":"1.0","source":{"id":"1808.07642","kind":"arxiv","version":1}},"canonical_sha256":"d6d0777df42fd6128e2d4390b42d957ee6854d73da25dba0b20d074a6c910a89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6d0777df42fd6128e2d4390b42d957ee6854d73da25dba0b20d074a6c910a89","first_computed_at":"2026-05-18T00:07:26.650948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:26.650948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EsLi1h6pRms7s96xRjoY2eJx7RMbgF5EBwahiSWwPIkDnFJbQ91uVZRoL1lhTsy+vg5bhtg18nosIhRED0mJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:26.651447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.07642","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4316ce8beb323144b46efa1d941206f0e580153b956c2625945c6431420543a5","sha256:7fe40112759472a4b00d24a8b6b589fc4672be7b0f8508d0cb0a5e2c1481d6f4"],"state_sha256":"325d3d35074f7ab15887488ef7e87d78e052d680d5f8545b03c942f687b43cf0"}