{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XH5C7JC7IMEGCF26D6KELLP6DT","short_pith_number":"pith:XH5C7JC7","schema_version":"1.0","canonical_sha256":"b9fa2fa45f430861175e1f9445adfe1cfa86727df3da7a0c41364fbe1164ba16","source":{"kind":"arxiv","id":"1202.5189","version":1},"attestation_state":"computed","paper":{"title":"On exponentially shaped Josephson junctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Monica De Angelis","submitted_at":"2012-02-23T14:22:27Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1202.5189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-23T14:22:27Z","cross_cats_sorted":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"title_canon_sha256":"08ddb82a5a2bbc7c326416d497079bd9aea266942ea90d05404864ca524d3141","abstract_canon_sha256":"aeb3d9f7cd6332d2d2030028fff49c80c1df63a8419b85f858fbeefdf948c407"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:38.934373Z","signature_b64":"JmnZuSEx6J27lX3iX8xIMAgOO+AfVVQhU7TQti1dQtAtHGneF3ZQX867wUCqLdtyG81mmkNwu/43g2DdcqmSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9fa2fa45f430861175e1f9445adfe1cfa86727df3da7a0c41364fbe1164ba16","last_reissued_at":"2026-05-18T04:00:38.933775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:38.933775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On exponentially shaped Josephson junctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Monica De Angelis","submitted_at":"2012-02-23T14:22:27Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5189","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1202.5189","created_at":"2026-05-18T04:00:38.933859+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5189v1","created_at":"2026-05-18T04:00:38.933859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5189","created_at":"2026-05-18T04:00:38.933859+00:00"},{"alias_kind":"pith_short_12","alias_value":"XH5C7JC7IMEG","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XH5C7JC7IMEGCF26","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XH5C7JC7","created_at":"2026-05-18T12:27:27.928770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT","json":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT.json","graph_json":"https://pith.science/api/pith-number/XH5C7JC7IMEGCF26D6KELLP6DT/graph.json","events_json":"https://pith.science/api/pith-number/XH5C7JC7IMEGCF26D6KELLP6DT/events.json","paper":"https://pith.science/paper/XH5C7JC7"},"agent_actions":{"view_html":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT","download_json":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT.json","view_paper":"https://pith.science/paper/XH5C7JC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5189&json=true","fetch_graph":"https://pith.science/api/pith-number/XH5C7JC7IMEGCF26D6KELLP6DT/graph.json","fetch_events":"https://pith.science/api/pith-number/XH5C7JC7IMEGCF26D6KELLP6DT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT/action/storage_attestation","attest_author":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT/action/author_attestation","sign_citation":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT/action/citation_signature","submit_replication":"https://pith.science/pith/XH5C7JC7IMEGCF26D6KELLP6DT/action/replication_record"}},"created_at":"2026-05-18T04:00:38.933859+00:00","updated_at":"2026-05-18T04:00:38.933859+00:00"}