{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KNW5EQ3TEV3NEWL7QT7OAPKVTA","short_pith_number":"pith:KNW5EQ3T","schema_version":"1.0","canonical_sha256":"536dd243732576d2597f84fee03d55983db81365b5c8e676c3a5c566b71e2bb3","source":{"kind":"arxiv","id":"1702.01088","version":2},"attestation_state":"computed","paper":{"title":"Relaxation of p-growth integral functionals under space-dependent differential constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Davoli, Irene Fonseca","submitted_at":"2017-02-03T17:35:22Z","abstract_excerpt":"A representation formula for the relaxation of integral energies $$(u,v)\\mapsto\\int_{\\Omega} f(x,u(x),v(x))\\,dx,$$ is obtained, where $f$ satisfies $p$-growth assumptions, $1<p<+\\infty$, and the fields $v$ are subjected to space-dependent first order linear differential constraints in the framework of $\\mathscr{A}$-quasiconvexity with variable coefficients."},"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":"1702.01088","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-03T17:35:22Z","cross_cats_sorted":[],"title_canon_sha256":"abcf958e7ba42050febbfb891832e0c9b8806948a003bf86580f2809219bba7d","abstract_canon_sha256":"7435a46b02a9335f2423342fc23af82bd4822224b457c9552f3eae5329c3103d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:11.463738Z","signature_b64":"lRzoeyk8cR3uEcTo/HcdX/BzJFGMKJZpivOC2R328M9oiJ7npGd/Gpor+i+xGJSUgtUj0dxn4ZtVz4cCdV2gAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"536dd243732576d2597f84fee03d55983db81365b5c8e676c3a5c566b71e2bb3","last_reissued_at":"2026-05-18T00:51:11.463039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:11.463039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relaxation of p-growth integral functionals under space-dependent differential constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Davoli, Irene Fonseca","submitted_at":"2017-02-03T17:35:22Z","abstract_excerpt":"A representation formula for the relaxation of integral energies $$(u,v)\\mapsto\\int_{\\Omega} f(x,u(x),v(x))\\,dx,$$ is obtained, where $f$ satisfies $p$-growth assumptions, $1<p<+\\infty$, and the fields $v$ are subjected to space-dependent first order linear differential constraints in the framework of $\\mathscr{A}$-quasiconvexity with variable coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01088","kind":"arxiv","version":2},"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":"1702.01088","created_at":"2026-05-18T00:51:11.463150+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.01088v2","created_at":"2026-05-18T00:51:11.463150+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01088","created_at":"2026-05-18T00:51:11.463150+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNW5EQ3TEV3N","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNW5EQ3TEV3NEWL7","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNW5EQ3T","created_at":"2026-05-18T12:31:24.725408+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/KNW5EQ3TEV3NEWL7QT7OAPKVTA","json":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA.json","graph_json":"https://pith.science/api/pith-number/KNW5EQ3TEV3NEWL7QT7OAPKVTA/graph.json","events_json":"https://pith.science/api/pith-number/KNW5EQ3TEV3NEWL7QT7OAPKVTA/events.json","paper":"https://pith.science/paper/KNW5EQ3T"},"agent_actions":{"view_html":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA","download_json":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA.json","view_paper":"https://pith.science/paper/KNW5EQ3T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.01088&json=true","fetch_graph":"https://pith.science/api/pith-number/KNW5EQ3TEV3NEWL7QT7OAPKVTA/graph.json","fetch_events":"https://pith.science/api/pith-number/KNW5EQ3TEV3NEWL7QT7OAPKVTA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA/action/storage_attestation","attest_author":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA/action/author_attestation","sign_citation":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA/action/citation_signature","submit_replication":"https://pith.science/pith/KNW5EQ3TEV3NEWL7QT7OAPKVTA/action/replication_record"}},"created_at":"2026-05-18T00:51:11.463150+00:00","updated_at":"2026-05-18T00:51:11.463150+00:00"}