{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WIOYHKOIMG2PNGDJUNEUXAYH6A","short_pith_number":"pith:WIOYHKOI","schema_version":"1.0","canonical_sha256":"b21d83a9c861b4f69869a3494b8307f038be8ed7fbf7fc84f41f008b1230a44c","source":{"kind":"arxiv","id":"1809.04791","version":2},"attestation_state":"computed","paper":{"title":"Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino, Patrizio Neff, Sebastian Owczarek","submitted_at":"2018-09-13T06:11:16Z","abstract_excerpt":"We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials we focus our effort on two recent nonstandard relaxed micromorphic models including novel micro-inertia terms. These novel micro-inertia terms are needed to better capture the band-gap response. The existence proof is based on the Banach fixed point theorem."},"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":"1809.04791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-13T06:11:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5a3e12d8597ad12b0c3e637bec1fafa33a8ffa6a99e6f402fd35e02b9d1afd04","abstract_canon_sha256":"45609e9d897eea00ff212abcfc2b2254df39d49ed5778821271d30e80c5cb902"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:22.519814Z","signature_b64":"hGje63Hsf5HQmOHDdWblGao4A0ymHSIt7SSgHb/3KliuZR1wUfVaGIzumA5OTKWmnPMnaV0rh8qeBxFH1JgjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b21d83a9c861b4f69869a3494b8307f038be8ed7fbf7fc84f41f008b1230a44c","last_reissued_at":"2026-05-17T23:54:22.519373Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:22.519373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino, Patrizio Neff, Sebastian Owczarek","submitted_at":"2018-09-13T06:11:16Z","abstract_excerpt":"We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials we focus our effort on two recent nonstandard relaxed micromorphic models including novel micro-inertia terms. These novel micro-inertia terms are needed to better capture the band-gap response. The existence proof is based on the Banach fixed point theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04791","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":"1809.04791","created_at":"2026-05-17T23:54:22.519432+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.04791v2","created_at":"2026-05-17T23:54:22.519432+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04791","created_at":"2026-05-17T23:54:22.519432+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIOYHKOIMG2P","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIOYHKOIMG2PNGDJ","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIOYHKOI","created_at":"2026-05-18T12:32:59.047623+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/WIOYHKOIMG2PNGDJUNEUXAYH6A","json":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A.json","graph_json":"https://pith.science/api/pith-number/WIOYHKOIMG2PNGDJUNEUXAYH6A/graph.json","events_json":"https://pith.science/api/pith-number/WIOYHKOIMG2PNGDJUNEUXAYH6A/events.json","paper":"https://pith.science/paper/WIOYHKOI"},"agent_actions":{"view_html":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A","download_json":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A.json","view_paper":"https://pith.science/paper/WIOYHKOI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.04791&json=true","fetch_graph":"https://pith.science/api/pith-number/WIOYHKOIMG2PNGDJUNEUXAYH6A/graph.json","fetch_events":"https://pith.science/api/pith-number/WIOYHKOIMG2PNGDJUNEUXAYH6A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A/action/storage_attestation","attest_author":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A/action/author_attestation","sign_citation":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A/action/citation_signature","submit_replication":"https://pith.science/pith/WIOYHKOIMG2PNGDJUNEUXAYH6A/action/replication_record"}},"created_at":"2026-05-17T23:54:22.519432+00:00","updated_at":"2026-05-17T23:54:22.519432+00:00"}