{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:M54HY46JZUOP2YRCDTIU3WEKRT","short_pith_number":"pith:M54HY46J","schema_version":"1.0","canonical_sha256":"67787c73c9cd1cfd62221cd14dd88a8ce515ea8d155ceb497669fa55d5e97065","source":{"kind":"arxiv","id":"1011.2193","version":1},"attestation_state":"computed","paper":{"title":"Building and Destroying Symmetry in 1-D Elastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"A. D\\'iaz-de-Anda, A. Morales, G. Monsivais, J. Flores, L. Guti\\'errez, P. Mora, R. A. M\\'endez-S\\'anchez","submitted_at":"2010-11-09T20:31:53Z","abstract_excerpt":"Locally periodic rods, which show approximate invariance with respect to translations, are constructed by joining $N$ unit cells. The spectrum then shows a band spectrum. We then break the local periodicity by including one or more defects in the system. When the defects follow a certain definite prescription, an analog of the Wannier-Stark ladders is gotten; when the defects are random, an elastic rod showing Anderson localization is obtained. In all cases experimental values match the theoretical predictions."},"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":"1011.2193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-11-09T20:31:53Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"2c6fa31e9aabced6715b73b793afe48ee2b2cd32d781a4957fd508bfa805dbaa","abstract_canon_sha256":"d89659a5adf5df6ffd386b23fbc6ed90d09a2dbc2ccd18fc3c676327d2d9a961"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:49.599272Z","signature_b64":"B6A71pptleG5hOEWIdPkH63Tm1FMagiGP5TyFAqpRg74kMcPvxMM7Q9ka3AoFPpTJr3O/IHSgbeq28EJNti/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67787c73c9cd1cfd62221cd14dd88a8ce515ea8d155ceb497669fa55d5e97065","last_reissued_at":"2026-05-18T02:04:49.598709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:49.598709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Building and Destroying Symmetry in 1-D Elastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"A. D\\'iaz-de-Anda, A. Morales, G. Monsivais, J. Flores, L. Guti\\'errez, P. Mora, R. A. M\\'endez-S\\'anchez","submitted_at":"2010-11-09T20:31:53Z","abstract_excerpt":"Locally periodic rods, which show approximate invariance with respect to translations, are constructed by joining $N$ unit cells. The spectrum then shows a band spectrum. We then break the local periodicity by including one or more defects in the system. When the defects follow a certain definite prescription, an analog of the Wannier-Stark ladders is gotten; when the defects are random, an elastic rod showing Anderson localization is obtained. In all cases experimental values match the theoretical predictions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2193","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":"1011.2193","created_at":"2026-05-18T02:04:49.598790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2193v1","created_at":"2026-05-18T02:04:49.598790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2193","created_at":"2026-05-18T02:04:49.598790+00:00"},{"alias_kind":"pith_short_12","alias_value":"M54HY46JZUOP","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"M54HY46JZUOP2YRC","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"M54HY46J","created_at":"2026-05-18T12:26:10.704358+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/M54HY46JZUOP2YRCDTIU3WEKRT","json":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT.json","graph_json":"https://pith.science/api/pith-number/M54HY46JZUOP2YRCDTIU3WEKRT/graph.json","events_json":"https://pith.science/api/pith-number/M54HY46JZUOP2YRCDTIU3WEKRT/events.json","paper":"https://pith.science/paper/M54HY46J"},"agent_actions":{"view_html":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT","download_json":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT.json","view_paper":"https://pith.science/paper/M54HY46J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2193&json=true","fetch_graph":"https://pith.science/api/pith-number/M54HY46JZUOP2YRCDTIU3WEKRT/graph.json","fetch_events":"https://pith.science/api/pith-number/M54HY46JZUOP2YRCDTIU3WEKRT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT/action/storage_attestation","attest_author":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT/action/author_attestation","sign_citation":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT/action/citation_signature","submit_replication":"https://pith.science/pith/M54HY46JZUOP2YRCDTIU3WEKRT/action/replication_record"}},"created_at":"2026-05-18T02:04:49.598790+00:00","updated_at":"2026-05-18T02:04:49.598790+00:00"}