{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:OIX47OFPKCBETJIKBDJR7LJUMK","short_pith_number":"pith:OIX47OFP","schema_version":"1.0","canonical_sha256":"722fcfb8af508249a50a08d31fad3462affa3f4c1157ea0f229614a2e6c8a274","source":{"kind":"arxiv","id":"cond-mat/0209401","version":1},"attestation_state":"computed","paper":{"title":"Non-linear generalized elasticity of icosahedral quasicrystals","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"H.-R. Trebin, M. Ricker","submitted_at":"2002-09-17T14:46:45Z","abstract_excerpt":"Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason strains with icosahedral irreducible Gamma^4-symmetry can be obtained by phonon stress, which is impossible in linear elasticity."},"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":"cond-mat/0209401","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-09-17T14:46:45Z","cross_cats_sorted":[],"title_canon_sha256":"27792c2561434d775318f44962b21d8d4016c11e3aa6fd6f5747602cf6823f28","abstract_canon_sha256":"a5e3367513a6cedb86e4332af20b28d8a52b75ac4a19d959b92cf168a7473ff1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:32:57.582053Z","signature_b64":"u//9KNijBuO1qPPH5mc5Hkj6V9oZvN9XS3tnVDzT70ydV7Cbm3OjSO7AO119395BTINFCktQ9HCta/hxBZekCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"722fcfb8af508249a50a08d31fad3462affa3f4c1157ea0f229614a2e6c8a274","last_reissued_at":"2026-07-04T16:32:57.581608Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:32:57.581608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-linear generalized elasticity of icosahedral quasicrystals","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"H.-R. Trebin, M. Ricker","submitted_at":"2002-09-17T14:46:45Z","abstract_excerpt":"Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason strains with icosahedral irreducible Gamma^4-symmetry can be obtained by phonon stress, which is impossible in linear elasticity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209401","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/cond-mat/0209401/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":"cond-mat/0209401","created_at":"2026-07-04T16:32:57.581676+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209401v1","created_at":"2026-07-04T16:32:57.581676+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209401","created_at":"2026-07-04T16:32:57.581676+00:00"},{"alias_kind":"pith_short_12","alias_value":"OIX47OFPKCBE","created_at":"2026-07-04T16:32:57.581676+00:00"},{"alias_kind":"pith_short_16","alias_value":"OIX47OFPKCBETJIK","created_at":"2026-07-04T16:32:57.581676+00:00"},{"alias_kind":"pith_short_8","alias_value":"OIX47OFP","created_at":"2026-07-04T16:32:57.581676+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/OIX47OFPKCBETJIKBDJR7LJUMK","json":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK.json","graph_json":"https://pith.science/api/pith-number/OIX47OFPKCBETJIKBDJR7LJUMK/graph.json","events_json":"https://pith.science/api/pith-number/OIX47OFPKCBETJIKBDJR7LJUMK/events.json","paper":"https://pith.science/paper/OIX47OFP"},"agent_actions":{"view_html":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK","download_json":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK.json","view_paper":"https://pith.science/paper/OIX47OFP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0209401&json=true","fetch_graph":"https://pith.science/api/pith-number/OIX47OFPKCBETJIKBDJR7LJUMK/graph.json","fetch_events":"https://pith.science/api/pith-number/OIX47OFPKCBETJIKBDJR7LJUMK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK/action/storage_attestation","attest_author":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK/action/author_attestation","sign_citation":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK/action/citation_signature","submit_replication":"https://pith.science/pith/OIX47OFPKCBETJIKBDJR7LJUMK/action/replication_record"}},"created_at":"2026-07-04T16:32:57.581676+00:00","updated_at":"2026-07-04T16:32:57.581676+00:00"}