{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XH5C7JC7IMEGCF26D6KELLP6DT","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":"aeb3d9f7cd6332d2d2030028fff49c80c1df63a8419b85f858fbeefdf948c407","cross_cats_sorted":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-23T14:22:27Z","title_canon_sha256":"08ddb82a5a2bbc7c326416d497079bd9aea266942ea90d05404864ca524d3141"},"schema_version":"1.0","source":{"id":"1202.5189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5189","created_at":"2026-05-18T04:00:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5189v1","created_at":"2026-05-18T04:00:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5189","created_at":"2026-05-18T04:00:38Z"},{"alias_kind":"pith_short_12","alias_value":"XH5C7JC7IMEG","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XH5C7JC7IMEGCF26","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XH5C7JC7","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:5696f1ff466cf50b70c2e1c649f5fbe45eba8a370e3652037cb45bd4ec70b9b2","target":"graph","created_at":"2026-05-18T04:00:38Z","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":"The paper deals with a third order semilinear equation which char- acterizes exponentially shaped Josephson junctions in superconductivity. The initial-boundary problem with Dirichlet conditions is analyzed. When the source term F is a linear function, the problem is explicitly solved by means of a Fourier series with properties of rapid convergence. When F is nonlin- ear, appropriate estimates of this series allow to deduce a priori estimates, continuous dependence and asymptotic behaviour of the solution.","authors_text":"Monica De Angelis","cross_cats":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-23T14:22:27Z","title":"On exponentially shaped Josephson junctions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5189","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":"sha256:6f4337bf5e8ba0659aa76c70e144684312ec815634b24bf32cd6a548608866f9","target":"record","created_at":"2026-05-18T04:00:38Z","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":"aeb3d9f7cd6332d2d2030028fff49c80c1df63a8419b85f858fbeefdf948c407","cross_cats_sorted":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-23T14:22:27Z","title_canon_sha256":"08ddb82a5a2bbc7c326416d497079bd9aea266942ea90d05404864ca524d3141"},"schema_version":"1.0","source":{"id":"1202.5189","kind":"arxiv","version":1}},"canonical_sha256":"b9fa2fa45f430861175e1f9445adfe1cfa86727df3da7a0c41364fbe1164ba16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9fa2fa45f430861175e1f9445adfe1cfa86727df3da7a0c41364fbe1164ba16","first_computed_at":"2026-05-18T04:00:38.933775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:38.933775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JmnZuSEx6J27lX3iX8xIMAgOO+AfVVQhU7TQti1dQtAtHGneF3ZQX867wUCqLdtyG81mmkNwu/43g2DdcqmSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:38.934373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f4337bf5e8ba0659aa76c70e144684312ec815634b24bf32cd6a548608866f9","sha256:5696f1ff466cf50b70c2e1c649f5fbe45eba8a370e3652037cb45bd4ec70b9b2"],"state_sha256":"1cae6ee6f0d441c841e22121555ea28c68e47d4a4aaf8b0f7dd17e812736594f"}