{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NWRE4522RFESQER7P7TNI4XSOG","short_pith_number":"pith:NWRE4522","canonical_record":{"source":{"id":"1805.04275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-11T08:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"7b4927b92bb7bd5e79ab394ec8bbf5e126149b1eb08ac33eda4232d7bf49af77","abstract_canon_sha256":"0842a174502f60b661db2694c34fd21f5629cf445a96ace371b39ee9d0901081"},"schema_version":"1.0"},"canonical_sha256":"6da24e775a894928123f7fe6d472f2719c463cc4b4453cf6b8c19c61b6450860","source":{"kind":"arxiv","id":"1805.04275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04275","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04275v1","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04275","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"NWRE4522RFES","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NWRE4522RFESQER7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NWRE4522","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NWRE4522RFESQER7P7TNI4XSOG","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-11T08:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"7b4927b92bb7bd5e79ab394ec8bbf5e126149b1eb08ac33eda4232d7bf49af77","abstract_canon_sha256":"0842a174502f60b661db2694c34fd21f5629cf445a96ace371b39ee9d0901081"},"schema_version":"1.0"},"canonical_sha256":"6da24e775a894928123f7fe6d472f2719c463cc4b4453cf6b8c19c61b6450860","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:12.994475Z","signature_b64":"PtJQsRTotTlhy6HOR+3u8OgluamkkD3QwLowZ18O4IQvEDNEqRR0cSW47YMrMQQvA51VB0K2WL/B8h1dDLiJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6da24e775a894928123f7fe6d472f2719c463cc4b4453cf6b8c19c61b6450860","last_reissued_at":"2026-05-18T00:16:12.993829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:12.993829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04275","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":"2026-05-18T00:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CMIMc1LhWczV9wbfSj4I3zyJcs/Zop0glcQBffQfHZAA3WISoYS6Vte4hXnnR44uFnX49tz+guYLWwkdAg4SAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:35:14.591152Z"},"content_sha256":"e13a9696fbfd9f61b90529abdeac12e3d1369cbc5ff5c8fb1e443731a77af79b","schema_version":"1.0","event_id":"sha256:e13a9696fbfd9f61b90529abdeac12e3d1369cbc5ff5c8fb1e443731a77af79b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NWRE4522RFESQER7P7TNI4XSOG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local well-posedness of the complex Ginzburg-Landau equation in bounded domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mitsuharu \\^Otani, Takanori Kuroda","submitted_at":"2018-05-11T08:40:25Z","abstract_excerpt":"In this paper, we are concerned with the local well-posedness of the initial-boundary value problem for complex Ginzburg-Landau (CGL) equations in bounded domains. There are many studies for the case where the real part of its nonlinear term plays as dissipation. This dissipative case is intensively studied and it is shown that (CGL) admits a global solution when parameters appearing in (CGL) belong to the so-called CGL-region. This paper deals with the non-dissipative case. We regard (CGL) as a parabolic equation perturbed by monotone and non-monotone perturbations and follows the basic strat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04275","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":"2026-05-18T00:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+48d/n53I8O94P577htH+Pfz3lyp7qfhJhZr6bwBzxtGuBbAcd4u91pwQIY0nisk2IiL+L26Q/PilKaj15i4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:35:14.591511Z"},"content_sha256":"023429f686f47fee6fdacb1105777d6429fbd2f8ede228c67c6e2ad55d7b44a4","schema_version":"1.0","event_id":"sha256:023429f686f47fee6fdacb1105777d6429fbd2f8ede228c67c6e2ad55d7b44a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NWRE4522RFESQER7P7TNI4XSOG/bundle.json","state_url":"https://pith.science/pith/NWRE4522RFESQER7P7TNI4XSOG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NWRE4522RFESQER7P7TNI4XSOG/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":"2026-06-11T13:35:14Z","links":{"resolver":"https://pith.science/pith/NWRE4522RFESQER7P7TNI4XSOG","bundle":"https://pith.science/pith/NWRE4522RFESQER7P7TNI4XSOG/bundle.json","state":"https://pith.science/pith/NWRE4522RFESQER7P7TNI4XSOG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NWRE4522RFESQER7P7TNI4XSOG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NWRE4522RFESQER7P7TNI4XSOG","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":"0842a174502f60b661db2694c34fd21f5629cf445a96ace371b39ee9d0901081","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-11T08:40:25Z","title_canon_sha256":"7b4927b92bb7bd5e79ab394ec8bbf5e126149b1eb08ac33eda4232d7bf49af77"},"schema_version":"1.0","source":{"id":"1805.04275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04275","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04275v1","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04275","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"NWRE4522RFES","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NWRE4522RFESQER7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NWRE4522","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:023429f686f47fee6fdacb1105777d6429fbd2f8ede228c67c6e2ad55d7b44a4","target":"graph","created_at":"2026-05-18T00:16:12Z","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 paper, we are concerned with the local well-posedness of the initial-boundary value problem for complex Ginzburg-Landau (CGL) equations in bounded domains. There are many studies for the case where the real part of its nonlinear term plays as dissipation. This dissipative case is intensively studied and it is shown that (CGL) admits a global solution when parameters appearing in (CGL) belong to the so-called CGL-region. This paper deals with the non-dissipative case. We regard (CGL) as a parabolic equation perturbed by monotone and non-monotone perturbations and follows the basic strat","authors_text":"Mitsuharu \\^Otani, Takanori Kuroda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-11T08:40:25Z","title":"Local well-posedness of the complex Ginzburg-Landau equation in bounded domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04275","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:e13a9696fbfd9f61b90529abdeac12e3d1369cbc5ff5c8fb1e443731a77af79b","target":"record","created_at":"2026-05-18T00:16:12Z","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":"0842a174502f60b661db2694c34fd21f5629cf445a96ace371b39ee9d0901081","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-11T08:40:25Z","title_canon_sha256":"7b4927b92bb7bd5e79ab394ec8bbf5e126149b1eb08ac33eda4232d7bf49af77"},"schema_version":"1.0","source":{"id":"1805.04275","kind":"arxiv","version":1}},"canonical_sha256":"6da24e775a894928123f7fe6d472f2719c463cc4b4453cf6b8c19c61b6450860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6da24e775a894928123f7fe6d472f2719c463cc4b4453cf6b8c19c61b6450860","first_computed_at":"2026-05-18T00:16:12.993829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:12.993829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PtJQsRTotTlhy6HOR+3u8OgluamkkD3QwLowZ18O4IQvEDNEqRR0cSW47YMrMQQvA51VB0K2WL/B8h1dDLiJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:12.994475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e13a9696fbfd9f61b90529abdeac12e3d1369cbc5ff5c8fb1e443731a77af79b","sha256:023429f686f47fee6fdacb1105777d6429fbd2f8ede228c67c6e2ad55d7b44a4"],"state_sha256":"9750900cc1d37b2432c7794bab5ff1e64aa3eaeaeb6b5b3089366b4b2c30983c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrtAENKOqv1V+jHOHo5WG66Om8V/Gz0SN+8pXVZ4HLIqTqwMxrnDAmW2cqn68oDt6s8GWAWWrTvn/3NmW1DSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:35:14.593464Z","bundle_sha256":"f0a2e745a4abcfcf5c21f061ca6c8aa7ceedc0ec5308f60c177b4f9c486bae7f"}}