{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BQXXIEEYDPYUTD4SZJTRBHXZZQ","short_pith_number":"pith:BQXXIEEY","schema_version":"1.0","canonical_sha256":"0c2f7410981bf1498f92ca67109ef9cc012f03a57a407d9c4c80cbc49284356c","source":{"kind":"arxiv","id":"1802.05687","version":3},"attestation_state":"computed","paper":{"title":"Effect of Hilbert space truncation on Anderson localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Akshay Krishna, R. N. Bhatt","submitted_at":"2018-02-15T18:04:11Z","abstract_excerpt":"The 1-D Anderson model possesses a completely localized spectrum of eigenstates for all values of the disorder. We consider the effect of projecting the Hamiltonian to a truncated Hilbert space, destroying time reversal symmetry. We analyze the ensuing eigenstates using different measures such as inverse participation ratio and sample-averaged moments of the position operator. In addition, we examine amplitude fluctuations in detail to detect the possibility of multifractal behavior (characteristic of mobility edges) that may arise as a result of the truncation procedure."},"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":"1802.05687","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-02-15T18:04:11Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"2506f9bae554a2c583fc8bf8a9e03a63f5f9294f43817d9acc7d882eda5b1c20","abstract_canon_sha256":"fa815045590d7e479057c777047bfff5bd02672c6ae07dcbbf7a5fc12f84854a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:41.753838Z","signature_b64":"J83Y1EFjIMr+tfDbIBeo1dGuS45l5h14xYzd0ZXubla9949nCYeuZJTKimPlcBg9VhoEJ8fulyKzNU6khWx+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c2f7410981bf1498f92ca67109ef9cc012f03a57a407d9c4c80cbc49284356c","last_reissued_at":"2026-05-18T00:15:41.753333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:41.753333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of Hilbert space truncation on Anderson localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Akshay Krishna, R. N. Bhatt","submitted_at":"2018-02-15T18:04:11Z","abstract_excerpt":"The 1-D Anderson model possesses a completely localized spectrum of eigenstates for all values of the disorder. We consider the effect of projecting the Hamiltonian to a truncated Hilbert space, destroying time reversal symmetry. We analyze the ensuing eigenstates using different measures such as inverse participation ratio and sample-averaged moments of the position operator. In addition, we examine amplitude fluctuations in detail to detect the possibility of multifractal behavior (characteristic of mobility edges) that may arise as a result of the truncation procedure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05687","kind":"arxiv","version":3},"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":"1802.05687","created_at":"2026-05-18T00:15:41.753413+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.05687v3","created_at":"2026-05-18T00:15:41.753413+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05687","created_at":"2026-05-18T00:15:41.753413+00:00"},{"alias_kind":"pith_short_12","alias_value":"BQXXIEEYDPYU","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"BQXXIEEYDPYUTD4S","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"BQXXIEEY","created_at":"2026-05-18T12:32:16.446611+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/BQXXIEEYDPYUTD4SZJTRBHXZZQ","json":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ.json","graph_json":"https://pith.science/api/pith-number/BQXXIEEYDPYUTD4SZJTRBHXZZQ/graph.json","events_json":"https://pith.science/api/pith-number/BQXXIEEYDPYUTD4SZJTRBHXZZQ/events.json","paper":"https://pith.science/paper/BQXXIEEY"},"agent_actions":{"view_html":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ","download_json":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ.json","view_paper":"https://pith.science/paper/BQXXIEEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.05687&json=true","fetch_graph":"https://pith.science/api/pith-number/BQXXIEEYDPYUTD4SZJTRBHXZZQ/graph.json","fetch_events":"https://pith.science/api/pith-number/BQXXIEEYDPYUTD4SZJTRBHXZZQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ/action/storage_attestation","attest_author":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ/action/author_attestation","sign_citation":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ/action/citation_signature","submit_replication":"https://pith.science/pith/BQXXIEEYDPYUTD4SZJTRBHXZZQ/action/replication_record"}},"created_at":"2026-05-18T00:15:41.753413+00:00","updated_at":"2026-05-18T00:15:41.753413+00:00"}