{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UUNQB5CAHIDYKT3HGX45JPUKWG","short_pith_number":"pith:UUNQB5CA","schema_version":"1.0","canonical_sha256":"a51b00f4403a07854f6735f9d4be8ab1a376688be60d1b52414996faca096880","source":{"kind":"arxiv","id":"1507.01635","version":2},"attestation_state":"computed","paper":{"title":"A criterion for many-body localization-delocalization phase transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Dmitry A. Abanin, Maksym Serbyn, Z. Papi\\'c","submitted_at":"2015-07-06T22:19:59Z","abstract_excerpt":"We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's eigenstates, finding a qualitatively different behaviour in the many-body localized (MBL) and ergodic phases. To characterize how strongly a local perturbation modifies the eigenstates, we introduce the parameter ${\\cal G}(L)=\\langle \\ln (V_{nm}/\\delta) \\rangle$, which represents a disorder-averaged ratio of a typical matrix element of a local operator $V$ to the ener"},"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":"1507.01635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-07-06T22:19:59Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"1b6b644bbe43da4fe236d01e38cf489487187d57100f5e74b1508664effbf4b4","abstract_canon_sha256":"7c05c0f843c891125459dab0a10a2d9c56d164617aefb5136635ffb4937155ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:48.246994Z","signature_b64":"xVh2Lg+O4Aj0Vgy7pCeVbjCnQlrhV7viYCw84S59Ovn4m3cRE/SuV1DwH/FEAEVu0dFFUlDapGNljTiKmwD3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a51b00f4403a07854f6735f9d4be8ab1a376688be60d1b52414996faca096880","last_reissued_at":"2026-05-18T01:23:48.246372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:48.246372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A criterion for many-body localization-delocalization phase transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Dmitry A. Abanin, Maksym Serbyn, Z. Papi\\'c","submitted_at":"2015-07-06T22:19:59Z","abstract_excerpt":"We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's eigenstates, finding a qualitatively different behaviour in the many-body localized (MBL) and ergodic phases. To characterize how strongly a local perturbation modifies the eigenstates, we introduce the parameter ${\\cal G}(L)=\\langle \\ln (V_{nm}/\\delta) \\rangle$, which represents a disorder-averaged ratio of a typical matrix element of a local operator $V$ to the ener"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01635","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":"1507.01635","created_at":"2026-05-18T01:23:48.246489+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.01635v2","created_at":"2026-05-18T01:23:48.246489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01635","created_at":"2026-05-18T01:23:48.246489+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUNQB5CAHIDY","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUNQB5CAHIDYKT3H","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUNQB5CA","created_at":"2026-05-18T12:29:44.643036+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/UUNQB5CAHIDYKT3HGX45JPUKWG","json":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG.json","graph_json":"https://pith.science/api/pith-number/UUNQB5CAHIDYKT3HGX45JPUKWG/graph.json","events_json":"https://pith.science/api/pith-number/UUNQB5CAHIDYKT3HGX45JPUKWG/events.json","paper":"https://pith.science/paper/UUNQB5CA"},"agent_actions":{"view_html":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG","download_json":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG.json","view_paper":"https://pith.science/paper/UUNQB5CA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.01635&json=true","fetch_graph":"https://pith.science/api/pith-number/UUNQB5CAHIDYKT3HGX45JPUKWG/graph.json","fetch_events":"https://pith.science/api/pith-number/UUNQB5CAHIDYKT3HGX45JPUKWG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG/action/storage_attestation","attest_author":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG/action/author_attestation","sign_citation":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG/action/citation_signature","submit_replication":"https://pith.science/pith/UUNQB5CAHIDYKT3HGX45JPUKWG/action/replication_record"}},"created_at":"2026-05-18T01:23:48.246489+00:00","updated_at":"2026-05-18T01:23:48.246489+00:00"}