{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SKSZ44BRBSLATRJSXAJNSN2MXC","short_pith_number":"pith:SKSZ44BR","schema_version":"1.0","canonical_sha256":"92a59e70310c9609c532b812d9374cb8a69617c3f24551096c79a93e45c3f53a","source":{"kind":"arxiv","id":"1505.05889","version":2},"attestation_state":"computed","paper":{"title":"Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical Points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Joel E. Moore, Romain Vasseur","submitted_at":"2015-05-21T20:02:25Z","abstract_excerpt":"We study the response of random singlet quantum critical points to local perturbations. Despite being insulating, these systems are dramatically affected by a local cut in the system, so that the overlap $G=\\left|\\langle \\Psi_B |\\Psi_A \\rangle\\right|$ of the groundstate wave functions with and without a cut vanishes algebraically in the thermodynamic limit. We analyze this Anderson orthogonality catastrophe in detail using a real-space renormalization group approach. We show that both the typical value of the overlap G and the disorder average of $G^\\alpha$ with $\\alpha>0$ decay as power-laws "},"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":"1505.05889","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-05-21T20:02:25Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"b5c2cfbfac248b0dba7ff93fad79a25b7d62800643d79a18fcd3b612ce99ce5a","abstract_canon_sha256":"d43cd8c5c0ff34cb581ccc797c6774690f2de5ad1cf8a985549a76e231efc12c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:15.920065Z","signature_b64":"9mKEzwMRpvEPynhQs4oqPtxcG68oMRPB3ExYLsKycwM50N4EeE46QNfPGmWDcryROmjdA70Lxoj0gbL73+stBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92a59e70310c9609c532b812d9374cb8a69617c3f24551096c79a93e45c3f53a","last_reissued_at":"2026-05-18T01:35:15.919561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:15.919561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical Points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Joel E. Moore, Romain Vasseur","submitted_at":"2015-05-21T20:02:25Z","abstract_excerpt":"We study the response of random singlet quantum critical points to local perturbations. Despite being insulating, these systems are dramatically affected by a local cut in the system, so that the overlap $G=\\left|\\langle \\Psi_B |\\Psi_A \\rangle\\right|$ of the groundstate wave functions with and without a cut vanishes algebraically in the thermodynamic limit. We analyze this Anderson orthogonality catastrophe in detail using a real-space renormalization group approach. We show that both the typical value of the overlap G and the disorder average of $G^\\alpha$ with $\\alpha>0$ decay as power-laws "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05889","kind":"arxiv","version":2},"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":"1505.05889","created_at":"2026-05-18T01:35:15.919637+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.05889v2","created_at":"2026-05-18T01:35:15.919637+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05889","created_at":"2026-05-18T01:35:15.919637+00:00"},{"alias_kind":"pith_short_12","alias_value":"SKSZ44BRBSLA","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SKSZ44BRBSLATRJS","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SKSZ44BR","created_at":"2026-05-18T12:29:42.218222+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/SKSZ44BRBSLATRJSXAJNSN2MXC","json":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC.json","graph_json":"https://pith.science/api/pith-number/SKSZ44BRBSLATRJSXAJNSN2MXC/graph.json","events_json":"https://pith.science/api/pith-number/SKSZ44BRBSLATRJSXAJNSN2MXC/events.json","paper":"https://pith.science/paper/SKSZ44BR"},"agent_actions":{"view_html":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC","download_json":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC.json","view_paper":"https://pith.science/paper/SKSZ44BR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.05889&json=true","fetch_graph":"https://pith.science/api/pith-number/SKSZ44BRBSLATRJSXAJNSN2MXC/graph.json","fetch_events":"https://pith.science/api/pith-number/SKSZ44BRBSLATRJSXAJNSN2MXC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC/action/storage_attestation","attest_author":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC/action/author_attestation","sign_citation":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC/action/citation_signature","submit_replication":"https://pith.science/pith/SKSZ44BRBSLATRJSXAJNSN2MXC/action/replication_record"}},"created_at":"2026-05-18T01:35:15.919637+00:00","updated_at":"2026-05-18T01:35:15.919637+00:00"}