{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TO4WZDNJFAKJNMAFSOOYC4RHJZ","short_pith_number":"pith:TO4WZDNJ","schema_version":"1.0","canonical_sha256":"9bb96c8da9281496b005939d8172274e77901ff5463c477b807cc5dc2faab4fb","source":{"kind":"arxiv","id":"1308.1916","version":2},"attestation_state":"computed","paper":{"title":"Universal behavior beyond multifractality in quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"David J. Luitz, Fabien Alet, Nicolas Laflorencie","submitted_at":"2013-08-08T17:58:23Z","abstract_excerpt":"How many states of a configuration space contribute to a wave-function? Attempts to answer this ubiquitous question have a long history in physics and chemistry, and are keys to understand e.g. localization phenomena. Quantifying this aspect has often been overlooked for interacting many-body quantum systems, mainly due to the exponential growth of the configuration (Hilbert) space. Here, we introduce two Monte Carlo schemes to calculate Shannon-Renyi entropies for ground-states of large quantum many-body systems that are out of reach for any other exact method. Our simulations reveal that the"},"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":"1308.1916","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-08-08T17:58:23Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"0816f9cf9298d2e533d60836af5e388df5a5de025a598ecb11442d3c35e04fe3","abstract_canon_sha256":"4d07f2226c9f785388e2997585c9b8e5a68ead693232ecc87d988c4646e39553"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:47.817025Z","signature_b64":"GlDAOsLXYKVUQMMhSTXplHI5RAQ2i7DzXrvpike8Ir/pKj7IljE5JzwcGJrBWE/Ts6nhLQCFywjDDMXK9zR8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bb96c8da9281496b005939d8172274e77901ff5463c477b807cc5dc2faab4fb","last_reissued_at":"2026-05-18T02:59:47.816104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:47.816104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal behavior beyond multifractality in quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"David J. Luitz, Fabien Alet, Nicolas Laflorencie","submitted_at":"2013-08-08T17:58:23Z","abstract_excerpt":"How many states of a configuration space contribute to a wave-function? Attempts to answer this ubiquitous question have a long history in physics and chemistry, and are keys to understand e.g. localization phenomena. Quantifying this aspect has often been overlooked for interacting many-body quantum systems, mainly due to the exponential growth of the configuration (Hilbert) space. Here, we introduce two Monte Carlo schemes to calculate Shannon-Renyi entropies for ground-states of large quantum many-body systems that are out of reach for any other exact method. Our simulations reveal that the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1916","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":"1308.1916","created_at":"2026-05-18T02:59:47.816268+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1916v2","created_at":"2026-05-18T02:59:47.816268+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1916","created_at":"2026-05-18T02:59:47.816268+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO4WZDNJFAKJ","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO4WZDNJFAKJNMAF","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO4WZDNJ","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.04075","citing_title":"Complexity of Quadratic Quantum Chaos","ref_index":72,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ","json":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ.json","graph_json":"https://pith.science/api/pith-number/TO4WZDNJFAKJNMAFSOOYC4RHJZ/graph.json","events_json":"https://pith.science/api/pith-number/TO4WZDNJFAKJNMAFSOOYC4RHJZ/events.json","paper":"https://pith.science/paper/TO4WZDNJ"},"agent_actions":{"view_html":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ","download_json":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ.json","view_paper":"https://pith.science/paper/TO4WZDNJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1916&json=true","fetch_graph":"https://pith.science/api/pith-number/TO4WZDNJFAKJNMAFSOOYC4RHJZ/graph.json","fetch_events":"https://pith.science/api/pith-number/TO4WZDNJFAKJNMAFSOOYC4RHJZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ/action/storage_attestation","attest_author":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ/action/author_attestation","sign_citation":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ/action/citation_signature","submit_replication":"https://pith.science/pith/TO4WZDNJFAKJNMAFSOOYC4RHJZ/action/replication_record"}},"created_at":"2026-05-18T02:59:47.816268+00:00","updated_at":"2026-05-18T02:59:47.816268+00:00"}