{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:EBGTQPHQIUDFDZI2WSDFCBCADV","short_pith_number":"pith:EBGTQPHQ","schema_version":"1.0","canonical_sha256":"204d383cf0450651e51ab4865104401d65b825bb3804258dbce95ec49eafa43b","source":{"kind":"arxiv","id":"2003.11847","version":2},"attestation_state":"computed","paper":{"title":"The Many-Body localization transition in the Hilbert space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Marco Tarzia","submitted_at":"2020-03-26T11:46:04Z","abstract_excerpt":"In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of tunneling rates between many-body states separated by an extensive number of spin flips at the lowest order in perturbation theory starting from the insulator, and determine the scaling of their typical amplitude with the number of accessible states in the Hilbert space. By using an analogy with the Rosenzweig-Porter random matrix ensemble, we propose an ergodicity"},"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":"2003.11847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-26T11:46:04Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"d16607ecaba0b183e8968c6247d7f7cb7ec2824f9d2c6af5939b923d9de79522","abstract_canon_sha256":"4f5f6638de6d8a23ad5ad3ae3739f237b430cfb71438f8351ee5d41d1152fec7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:24:32.877890Z","signature_b64":"MNjhz06SZyiiQNEvpubZb2NYOan/OGWFSgE8CBmrba/6WkivuzyoPRSgJhdjnhThCTHNi597EED0QbUSFNsUAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204d383cf0450651e51ab4865104401d65b825bb3804258dbce95ec49eafa43b","last_reissued_at":"2026-07-05T01:24:32.877390Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:24:32.877390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Many-Body localization transition in the Hilbert space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Marco Tarzia","submitted_at":"2020-03-26T11:46:04Z","abstract_excerpt":"In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of tunneling rates between many-body states separated by an extensive number of spin flips at the lowest order in perturbation theory starting from the insulator, and determine the scaling of their typical amplitude with the number of accessible states in the Hilbert space. By using an analogy with the Rosenzweig-Porter random matrix ensemble, we propose an ergodicity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11847","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.11847/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":"2003.11847","created_at":"2026-07-05T01:24:32.877453+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.11847v2","created_at":"2026-07-05T01:24:32.877453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11847","created_at":"2026-07-05T01:24:32.877453+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBGTQPHQIUDF","created_at":"2026-07-05T01:24:32.877453+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBGTQPHQIUDFDZI2","created_at":"2026-07-05T01:24:32.877453+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBGTQPHQ","created_at":"2026-07-05T01:24:32.877453+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/EBGTQPHQIUDFDZI2WSDFCBCADV","json":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV.json","graph_json":"https://pith.science/api/pith-number/EBGTQPHQIUDFDZI2WSDFCBCADV/graph.json","events_json":"https://pith.science/api/pith-number/EBGTQPHQIUDFDZI2WSDFCBCADV/events.json","paper":"https://pith.science/paper/EBGTQPHQ"},"agent_actions":{"view_html":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV","download_json":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV.json","view_paper":"https://pith.science/paper/EBGTQPHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.11847&json=true","fetch_graph":"https://pith.science/api/pith-number/EBGTQPHQIUDFDZI2WSDFCBCADV/graph.json","fetch_events":"https://pith.science/api/pith-number/EBGTQPHQIUDFDZI2WSDFCBCADV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV/action/storage_attestation","attest_author":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV/action/author_attestation","sign_citation":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV/action/citation_signature","submit_replication":"https://pith.science/pith/EBGTQPHQIUDFDZI2WSDFCBCADV/action/replication_record"}},"created_at":"2026-07-05T01:24:32.877453+00:00","updated_at":"2026-07-05T01:24:32.877453+00:00"}