{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QUL2AXEN6NXAX3E7OIEKKRZPVD","short_pith_number":"pith:QUL2AXEN","schema_version":"1.0","canonical_sha256":"8517a05c8df36e0bec9f7208a5472fa8f4aede6810e0405d483012c35cf7e644","source":{"kind":"arxiv","id":"1805.06472","version":4},"attestation_state":"computed","paper":{"title":"Survival probability in Generalized Rosenzweig-Porter random matrix ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"G. De Tomasi, I. M. Khaymovich, M. Amini, S. Bera, V. E. Kravtsov","submitted_at":"2018-05-16T18:00:22Z","abstract_excerpt":"We study analytically and numerically the dynamics of the generalized Rosenzweig-Porter model, which is known to possess three distinct phases: ergodic, multifractal and localized phases. Our focus is on the survival probability $R(t)$, the probability of finding the initial state after time $t$. In particular, if the system is initially prepared in a highly-excited non-stationary state (wave packet) confined in space and containing a fixed fraction of all eigenstates, we show that $R(t)$ can be used as a dynamical indicator to distinguish these three phases. Three main aspects are identified "},"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":"1805.06472","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-05-16T18:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"afc1fc03bc87957c2f75452bad3e605abc752dd48904f71147dc56370fb81f42","abstract_canon_sha256":"aa57ecd9c3a92ed72c8c4cab328ba6f0d862a615a707c8aa8051b7a2c049c215"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:14.582169Z","signature_b64":"Vm/HC2eFUsosQQHOkBY10LNsSYpITc+NSWtuqrsbExBbzGlgOKsT+0Hob2YGtYkL/gHn9AbdBAUN+Ek5Wf06Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8517a05c8df36e0bec9f7208a5472fa8f4aede6810e0405d483012c35cf7e644","last_reissued_at":"2026-05-17T23:55:14.581693Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:14.581693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Survival probability in Generalized Rosenzweig-Porter random matrix ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"G. De Tomasi, I. M. Khaymovich, M. Amini, S. Bera, V. E. Kravtsov","submitted_at":"2018-05-16T18:00:22Z","abstract_excerpt":"We study analytically and numerically the dynamics of the generalized Rosenzweig-Porter model, which is known to possess three distinct phases: ergodic, multifractal and localized phases. Our focus is on the survival probability $R(t)$, the probability of finding the initial state after time $t$. In particular, if the system is initially prepared in a highly-excited non-stationary state (wave packet) confined in space and containing a fixed fraction of all eigenstates, we show that $R(t)$ can be used as a dynamical indicator to distinguish these three phases. Three main aspects are identified "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06472","kind":"arxiv","version":4},"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":"1805.06472","created_at":"2026-05-17T23:55:14.581761+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.06472v4","created_at":"2026-05-17T23:55:14.581761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06472","created_at":"2026-05-17T23:55:14.581761+00:00"},{"alias_kind":"pith_short_12","alias_value":"QUL2AXEN6NXA","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QUL2AXEN6NXAX3E7","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QUL2AXEN","created_at":"2026-05-18T12:32:46.962924+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/QUL2AXEN6NXAX3E7OIEKKRZPVD","json":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD.json","graph_json":"https://pith.science/api/pith-number/QUL2AXEN6NXAX3E7OIEKKRZPVD/graph.json","events_json":"https://pith.science/api/pith-number/QUL2AXEN6NXAX3E7OIEKKRZPVD/events.json","paper":"https://pith.science/paper/QUL2AXEN"},"agent_actions":{"view_html":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD","download_json":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD.json","view_paper":"https://pith.science/paper/QUL2AXEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.06472&json=true","fetch_graph":"https://pith.science/api/pith-number/QUL2AXEN6NXAX3E7OIEKKRZPVD/graph.json","fetch_events":"https://pith.science/api/pith-number/QUL2AXEN6NXAX3E7OIEKKRZPVD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD/action/storage_attestation","attest_author":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD/action/author_attestation","sign_citation":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD/action/citation_signature","submit_replication":"https://pith.science/pith/QUL2AXEN6NXAX3E7OIEKKRZPVD/action/replication_record"}},"created_at":"2026-05-17T23:55:14.581761+00:00","updated_at":"2026-05-17T23:55:14.581761+00:00"}