{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FGVPKNRUDG2LG2SB4YYNB32AAG","short_pith_number":"pith:FGVPKNRU","schema_version":"1.0","canonical_sha256":"29aaf5363419b4b36a41e630d0ef4001a62410dc5d9fa7149d7eabbcb5a1ee87","source":{"kind":"arxiv","id":"1611.01264","version":1},"attestation_state":"computed","paper":{"title":"Wave propagation in non-centrosymmetric beam-lattices with lumped masses: discrete and micropolar modelling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Andrea Bacigalupo, Luigi Gambarotta","submitted_at":"2016-11-04T05:36:43Z","abstract_excerpt":"The in-plane acoustic behavior of non-centrosymmetric lattices having nodes endowed with mass and gyroscopic inertia and connected by massless ligaments with asymmetric elastic properties has been analysed through a discrete model and a continuum micropolar model. In the first case the propagation of harmonic waves and the dispersion functions have been obtained by the discrete Floquet-Bloch approach. It is shown that the optical branch departs from a critical point with vanishing group velocity and for the considered cases this branch is decreasing for increasing the norm of the wave vector f"},"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":"1611.01264","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-11-04T05:36:43Z","cross_cats_sorted":[],"title_canon_sha256":"8969db73496f264d3660f26351ff6af6e8e14d7757d54d0c73ce4e3ebfcccdeb","abstract_canon_sha256":"ff0d3d17ea536a099409785144e843666e50a92d42339107e6b5f9ef3f72dd33"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:11.546392Z","signature_b64":"vvL2nQrBomst18zOsVGFsk1+/VEXrIQqhRnMKJuNu4grzUAIw8uLxVRFNemiVdGJoBTAle/bJXCA+q/GpMRYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29aaf5363419b4b36a41e630d0ef4001a62410dc5d9fa7149d7eabbcb5a1ee87","last_reissued_at":"2026-05-18T01:00:11.545772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:11.545772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wave propagation in non-centrosymmetric beam-lattices with lumped masses: discrete and micropolar modelling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Andrea Bacigalupo, Luigi Gambarotta","submitted_at":"2016-11-04T05:36:43Z","abstract_excerpt":"The in-plane acoustic behavior of non-centrosymmetric lattices having nodes endowed with mass and gyroscopic inertia and connected by massless ligaments with asymmetric elastic properties has been analysed through a discrete model and a continuum micropolar model. In the first case the propagation of harmonic waves and the dispersion functions have been obtained by the discrete Floquet-Bloch approach. It is shown that the optical branch departs from a critical point with vanishing group velocity and for the considered cases this branch is decreasing for increasing the norm of the wave vector f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01264","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":"1611.01264","created_at":"2026-05-18T01:00:11.545860+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01264v1","created_at":"2026-05-18T01:00:11.545860+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01264","created_at":"2026-05-18T01:00:11.545860+00:00"},{"alias_kind":"pith_short_12","alias_value":"FGVPKNRUDG2L","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FGVPKNRUDG2LG2SB","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FGVPKNRU","created_at":"2026-05-18T12:30:15.759754+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/FGVPKNRUDG2LG2SB4YYNB32AAG","json":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG.json","graph_json":"https://pith.science/api/pith-number/FGVPKNRUDG2LG2SB4YYNB32AAG/graph.json","events_json":"https://pith.science/api/pith-number/FGVPKNRUDG2LG2SB4YYNB32AAG/events.json","paper":"https://pith.science/paper/FGVPKNRU"},"agent_actions":{"view_html":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG","download_json":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG.json","view_paper":"https://pith.science/paper/FGVPKNRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01264&json=true","fetch_graph":"https://pith.science/api/pith-number/FGVPKNRUDG2LG2SB4YYNB32AAG/graph.json","fetch_events":"https://pith.science/api/pith-number/FGVPKNRUDG2LG2SB4YYNB32AAG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG/action/storage_attestation","attest_author":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG/action/author_attestation","sign_citation":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG/action/citation_signature","submit_replication":"https://pith.science/pith/FGVPKNRUDG2LG2SB4YYNB32AAG/action/replication_record"}},"created_at":"2026-05-18T01:00:11.545860+00:00","updated_at":"2026-05-18T01:00:11.545860+00:00"}