{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:56VKLP425CCVMQJFQOMR75GDYH","short_pith_number":"pith:56VKLP42","schema_version":"1.0","canonical_sha256":"efaaa5bf9ae88556412583991ff4c3c1fba480a51e3f6be310394e657d109369","source":{"kind":"arxiv","id":"1503.00521","version":1},"attestation_state":"computed","paper":{"title":"A Lagrangian Approach to Weakly Coupled Hamilton-Jacobi Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Siconolfi, H. Mitake, H.V. Tran, N. Yamada","submitted_at":"2015-03-02T13:37:10Z","abstract_excerpt":"We study a class of weakly coupled Hamilton-Jacobi systems with a specific aim to perform a qualitative analysis in the spirit of weak KAM theory. Our main achievement is the definition of a family of related action functionals containing the Lagrangians obtained by duality from the Hamiltonians of the system. We use them to characterize, by means of a suitable estimate, all the subsolutions of the system, and to explicitly represent some subsolutions enjoying an additional maximality property. A crucial step for our analysis is to put the problem in a suitable random frame. Only some basic kn"},"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":"1503.00521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-02T13:37:10Z","cross_cats_sorted":[],"title_canon_sha256":"9e25f1027daa230554b2500b6b2efb77862a5b2eb0ae039cb870976b99db628a","abstract_canon_sha256":"31cd854e52eaf1731262bb1a08bd17470e21e74ef7ccdf9778d0f81adc444c38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:54.292550Z","signature_b64":"I3Y8VzBOdfL8hwBUa1RExFVDLnH5A/JCepcDfy0pbGxQ8JuUH1VL1rIJRl1wuCZxv4U1bJ9Oqm7OhNwyVolxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efaaa5bf9ae88556412583991ff4c3c1fba480a51e3f6be310394e657d109369","last_reissued_at":"2026-05-18T02:25:54.292151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:54.292151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Lagrangian Approach to Weakly Coupled Hamilton-Jacobi Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Siconolfi, H. Mitake, H.V. Tran, N. Yamada","submitted_at":"2015-03-02T13:37:10Z","abstract_excerpt":"We study a class of weakly coupled Hamilton-Jacobi systems with a specific aim to perform a qualitative analysis in the spirit of weak KAM theory. Our main achievement is the definition of a family of related action functionals containing the Lagrangians obtained by duality from the Hamiltonians of the system. We use them to characterize, by means of a suitable estimate, all the subsolutions of the system, and to explicitly represent some subsolutions enjoying an additional maximality property. A crucial step for our analysis is to put the problem in a suitable random frame. Only some basic kn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00521","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":"1503.00521","created_at":"2026-05-18T02:25:54.292206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.00521v1","created_at":"2026-05-18T02:25:54.292206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00521","created_at":"2026-05-18T02:25:54.292206+00:00"},{"alias_kind":"pith_short_12","alias_value":"56VKLP425CCV","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"56VKLP425CCVMQJF","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"56VKLP42","created_at":"2026-05-18T12:29:05.191682+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/56VKLP425CCVMQJFQOMR75GDYH","json":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH.json","graph_json":"https://pith.science/api/pith-number/56VKLP425CCVMQJFQOMR75GDYH/graph.json","events_json":"https://pith.science/api/pith-number/56VKLP425CCVMQJFQOMR75GDYH/events.json","paper":"https://pith.science/paper/56VKLP42"},"agent_actions":{"view_html":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH","download_json":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH.json","view_paper":"https://pith.science/paper/56VKLP42","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.00521&json=true","fetch_graph":"https://pith.science/api/pith-number/56VKLP425CCVMQJFQOMR75GDYH/graph.json","fetch_events":"https://pith.science/api/pith-number/56VKLP425CCVMQJFQOMR75GDYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH/action/storage_attestation","attest_author":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH/action/author_attestation","sign_citation":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH/action/citation_signature","submit_replication":"https://pith.science/pith/56VKLP425CCVMQJFQOMR75GDYH/action/replication_record"}},"created_at":"2026-05-18T02:25:54.292206+00:00","updated_at":"2026-05-18T02:25:54.292206+00:00"}