{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:RGZM5ENBAFIV4G7O4R7WCPWKMN","short_pith_number":"pith:RGZM5ENB","schema_version":"1.0","canonical_sha256":"89b2ce91a101515e1beee47f613eca63485c2b354e4bdad8e14f86a4b853356d","source":{"kind":"arxiv","id":"2308.04456","version":1},"attestation_state":"computed","paper":{"title":"Multifield asymptotic homogenization scheme for periodic Cauchy materials in non-standard thermoelasticity","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"(2) University of Genova, Andrea Bacigalupo (2) ((1) University of Chieti-Pescara, Department DICCA, Department INGEO, Genova, Italy, Italy), Marcello Vasta (1), Maria Laura De Bellis (1), Pescara, Rosaria Del Toro (1)","submitted_at":"2023-08-06T13:12:30Z","abstract_excerpt":"This article presents a multifield asymptotic homogenization scheme for the analysis of Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the Green-Linsdsay theory that accounts for two relaxation times. The procedure involves several steps. Firstly, an asymptotic expansion of the micro-fields is performed, considering the characteristic size of the microstructure. By utilizing the derived microscale field equations and asymptotic expansions, a series of recursive differential problems are solved within the repetitive unit cell Q. These problems are then ex"},"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":"2308.04456","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math-ph","submitted_at":"2023-08-06T13:12:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"156738c87961d4a206a092641d2e0896f847863c858341a1fd0efdc73f3dca91","abstract_canon_sha256":"b3759111a2f7b0457266f4ed11c7006111bdd27f09888afbbaa426c57b3d1c44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:39:38.164424Z","signature_b64":"yCDvHGWcwS2YNP5P3YWDuqQbWLWzD6gqy24HV01ynvKPiv1p9xfIQO7EaI/jlkKGGkQMITakx7ceF6ZhGIxOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89b2ce91a101515e1beee47f613eca63485c2b354e4bdad8e14f86a4b853356d","last_reissued_at":"2026-07-05T06:39:38.163933Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:39:38.163933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multifield asymptotic homogenization scheme for periodic Cauchy materials in non-standard thermoelasticity","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"(2) University of Genova, Andrea Bacigalupo (2) ((1) University of Chieti-Pescara, Department DICCA, Department INGEO, Genova, Italy, Italy), Marcello Vasta (1), Maria Laura De Bellis (1), Pescara, Rosaria Del Toro (1)","submitted_at":"2023-08-06T13:12:30Z","abstract_excerpt":"This article presents a multifield asymptotic homogenization scheme for the analysis of Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the Green-Linsdsay theory that accounts for two relaxation times. The procedure involves several steps. Firstly, an asymptotic expansion of the micro-fields is performed, considering the characteristic size of the microstructure. By utilizing the derived microscale field equations and asymptotic expansions, a series of recursive differential problems are solved within the repetitive unit cell Q. These problems are then ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04456","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.04456/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2308.04456","created_at":"2026-07-05T06:39:38.163991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.04456v1","created_at":"2026-07-05T06:39:38.163991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04456","created_at":"2026-07-05T06:39:38.163991+00:00"},{"alias_kind":"pith_short_12","alias_value":"RGZM5ENBAFIV","created_at":"2026-07-05T06:39:38.163991+00:00"},{"alias_kind":"pith_short_16","alias_value":"RGZM5ENBAFIV4G7O","created_at":"2026-07-05T06:39:38.163991+00:00"},{"alias_kind":"pith_short_8","alias_value":"RGZM5ENB","created_at":"2026-07-05T06:39:38.163991+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/RGZM5ENBAFIV4G7O4R7WCPWKMN","json":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN.json","graph_json":"https://pith.science/api/pith-number/RGZM5ENBAFIV4G7O4R7WCPWKMN/graph.json","events_json":"https://pith.science/api/pith-number/RGZM5ENBAFIV4G7O4R7WCPWKMN/events.json","paper":"https://pith.science/paper/RGZM5ENB"},"agent_actions":{"view_html":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN","download_json":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN.json","view_paper":"https://pith.science/paper/RGZM5ENB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.04456&json=true","fetch_graph":"https://pith.science/api/pith-number/RGZM5ENBAFIV4G7O4R7WCPWKMN/graph.json","fetch_events":"https://pith.science/api/pith-number/RGZM5ENBAFIV4G7O4R7WCPWKMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN/action/storage_attestation","attest_author":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN/action/author_attestation","sign_citation":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN/action/citation_signature","submit_replication":"https://pith.science/pith/RGZM5ENBAFIV4G7O4R7WCPWKMN/action/replication_record"}},"created_at":"2026-07-05T06:39:38.163991+00:00","updated_at":"2026-07-05T06:39:38.163991+00:00"}