{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WHCIIIPBRTEGISPATW6363YZMP","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":"c0f30274fd10c2bcb060f8db049a292c87202a5c0ebf698869eff326d5c5d448","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-05T09:00:31Z","title_canon_sha256":"e6f0f00ea8b3216548ba9a1867857789f2d7c7801150a9b447bd534eaa522f7f"},"schema_version":"1.0","source":{"id":"1309.1281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1281","created_at":"2026-05-18T02:26:53Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1281v1","created_at":"2026-05-18T02:26:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1281","created_at":"2026-05-18T02:26:53Z"},{"alias_kind":"pith_short_12","alias_value":"WHCIIIPBRTEG","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WHCIIIPBRTEGISPA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WHCIIIPB","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:159f73c7e9a8297e78de1c91ef56f60a612c10c49a6ade03dbf24446a4128d52","target":"graph","created_at":"2026-05-18T02:26:53Z","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 study the problem of propagation of analytic regularity for semi-linear symmetric hyperbolic systems. We adopt a global perspective and we prove that if the initial datum extends to a holomorphic function in a strip of radius (=width) \\epsilon_0, the same happens for the solution u(t,.) for a certain radius \\epsilon(t), as long as the solution exists. Our focus is on precise lower bounds on the spatial radius of analyticity \\epsilon(t) as t grows. We also get similar results for the Schroedinger equation with a real-analytic electromagnetic potential.","authors_text":"Fabio Nicola, Marco Cappiello, Piero D'Ancona","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-05T09:00:31Z","title":"On the radius of spatial analyticity for semilinear symmetric hyperbolic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1281","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":"sha256:80517df9adafe6345d0a8dfed5cf706f940ca0e9cf0cb9bd65158fd710077605","target":"record","created_at":"2026-05-18T02:26:53Z","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":"c0f30274fd10c2bcb060f8db049a292c87202a5c0ebf698869eff326d5c5d448","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-05T09:00:31Z","title_canon_sha256":"e6f0f00ea8b3216548ba9a1867857789f2d7c7801150a9b447bd534eaa522f7f"},"schema_version":"1.0","source":{"id":"1309.1281","kind":"arxiv","version":1}},"canonical_sha256":"b1c48421e18cc86449e09dbdbf6f1963caea331f69aa8c887243823958845eb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1c48421e18cc86449e09dbdbf6f1963caea331f69aa8c887243823958845eb1","first_computed_at":"2026-05-18T02:26:53.062487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:53.062487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uuhgQN956vT9Gx+RZm8qAglvCxIkZ5j2fS1vZGsk4ZARdSc7SIt/PlXGrOqjIPdTBqJUHvVCBRErkYJZ2FreAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:53.062874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80517df9adafe6345d0a8dfed5cf706f940ca0e9cf0cb9bd65158fd710077605","sha256:159f73c7e9a8297e78de1c91ef56f60a612c10c49a6ade03dbf24446a4128d52"],"state_sha256":"258ccee5289ee3343c39fb11948fd928334e2c07a77fe881b4f719d6bd6357a1"}