{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:D2CCUYN25XBQC57LX2DAHHAHL6","short_pith_number":"pith:D2CCUYN2","schema_version":"1.0","canonical_sha256":"1e842a61baedc30177ebbe86039c075fa09b9aebd89522ff33da87ca0acdf33f","source":{"kind":"arxiv","id":"1610.03296","version":1},"attestation_state":"computed","paper":{"title":"A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Angela Madeo, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Marco Valerio D'Agostino, Patrizio Neff","submitted_at":"2016-10-11T12:09:38Z","abstract_excerpt":"We consider the weighted isotropic relaxed micromorphic model and provide an in depth investigation of the characteristic dispersion curves when the constitutive parameters of the model are varied. The weighted relaxed micromorphic model generalizes the classical relaxed micromorphic model previously introduced by the authors, since it features the Cartan-Lie decomposition of the tensors $P_{,t}$ and Curl $P$ in their dev, dev sym, skew and spheric part. It is shown that the split of the tensor $P_{,t}$ in the micro-inertia provide an independent control of the cut-offs of the optic benches. T"},"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":"1610.03296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-11T12:09:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c1bb415f87b1768c8c4b62f8d0a4c2758aeb4258f34be8b5a6d1e9b2e8adc029","abstract_canon_sha256":"6c4fa420e22c27182270bbb81513e3230179b6b6c0200a9ecda2206063dc2243"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:31.864667Z","signature_b64":"z/JaD3vsvm33G04zriQkIrko6Sc+qXenMltX+Ssn1Y/jZcjnVPKhRQBtV+76wJlM9E7AB+tZsQEUpXgRtzv+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e842a61baedc30177ebbe86039c075fa09b9aebd89522ff33da87ca0acdf33f","last_reissued_at":"2026-05-18T01:02:31.864047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:31.864047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Angela Madeo, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Marco Valerio D'Agostino, Patrizio Neff","submitted_at":"2016-10-11T12:09:38Z","abstract_excerpt":"We consider the weighted isotropic relaxed micromorphic model and provide an in depth investigation of the characteristic dispersion curves when the constitutive parameters of the model are varied. The weighted relaxed micromorphic model generalizes the classical relaxed micromorphic model previously introduced by the authors, since it features the Cartan-Lie decomposition of the tensors $P_{,t}$ and Curl $P$ in their dev, dev sym, skew and spheric part. It is shown that the split of the tensor $P_{,t}$ in the micro-inertia provide an independent control of the cut-offs of the optic benches. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03296","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":"1610.03296","created_at":"2026-05-18T01:02:31.864146+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.03296v1","created_at":"2026-05-18T01:02:31.864146+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03296","created_at":"2026-05-18T01:02:31.864146+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2CCUYN25XBQ","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2CCUYN25XBQC57L","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2CCUYN2","created_at":"2026-05-18T12:30:09.641336+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/D2CCUYN25XBQC57LX2DAHHAHL6","json":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6.json","graph_json":"https://pith.science/api/pith-number/D2CCUYN25XBQC57LX2DAHHAHL6/graph.json","events_json":"https://pith.science/api/pith-number/D2CCUYN25XBQC57LX2DAHHAHL6/events.json","paper":"https://pith.science/paper/D2CCUYN2"},"agent_actions":{"view_html":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6","download_json":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6.json","view_paper":"https://pith.science/paper/D2CCUYN2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.03296&json=true","fetch_graph":"https://pith.science/api/pith-number/D2CCUYN25XBQC57LX2DAHHAHL6/graph.json","fetch_events":"https://pith.science/api/pith-number/D2CCUYN25XBQC57LX2DAHHAHL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6/action/storage_attestation","attest_author":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6/action/author_attestation","sign_citation":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6/action/citation_signature","submit_replication":"https://pith.science/pith/D2CCUYN25XBQC57LX2DAHHAHL6/action/replication_record"}},"created_at":"2026-05-18T01:02:31.864146+00:00","updated_at":"2026-05-18T01:02:31.864146+00:00"}