{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JCKXSWKE47TOZBEC2IUCXI3ELH","short_pith_number":"pith:JCKXSWKE","schema_version":"1.0","canonical_sha256":"4895795944e7e6ec8482d2282ba36459de550e76b515f14af9d98c6d22ca446e","source":{"kind":"arxiv","id":"1708.05614","version":2},"attestation_state":"computed","paper":{"title":"Localization transition induced by learning in random searches","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Falc\\'on-Cort\\'es, Denis Boyer, Luca Giuggioli, Satya N. Majumdar","submitted_at":"2017-08-18T13:56:02Z","abstract_excerpt":"We solve an adaptive search model where a random walker or L\\'evy flight stochastically resets to previously visited sites on a $d$-dimensional lattice containing one trapping site. Due to reinforcement, a phase transition occurs when the resetting rate crosses a threshold above which non-diffusive stationary states emerge, localized around the inhomogeneity. The threshold depends on the trapping strength and on the walker's return probability in the memoryless case. The transition belongs to the same class as the self-consistent theory of Anderson localization. These results show that similar"},"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":"1708.05614","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-08-18T13:56:02Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"7c7a9738e61cf7bcf6666642fbaed1b896ea9923636ca6f37bebf0316c2a3c5c","abstract_canon_sha256":"9bb88ec96fce3da97d1c742049d6be71f748f96f19ccf64f4b38a10d710ee45e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:07.645757Z","signature_b64":"z/WrQGQCxmqRk9Pq0aogoWi+nwlYQZdIO0rY2JJ2gc1igQ1U+tn7Yq4ykXA7HwRchGvZckSeA6GGXeK73GQrCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4895795944e7e6ec8482d2282ba36459de550e76b515f14af9d98c6d22ca446e","last_reissued_at":"2026-05-18T00:33:07.645140Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:07.645140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localization transition induced by learning in random searches","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Falc\\'on-Cort\\'es, Denis Boyer, Luca Giuggioli, Satya N. Majumdar","submitted_at":"2017-08-18T13:56:02Z","abstract_excerpt":"We solve an adaptive search model where a random walker or L\\'evy flight stochastically resets to previously visited sites on a $d$-dimensional lattice containing one trapping site. Due to reinforcement, a phase transition occurs when the resetting rate crosses a threshold above which non-diffusive stationary states emerge, localized around the inhomogeneity. The threshold depends on the trapping strength and on the walker's return probability in the memoryless case. The transition belongs to the same class as the self-consistent theory of Anderson localization. These results show that similar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05614","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":"1708.05614","created_at":"2026-05-18T00:33:07.645227+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05614v2","created_at":"2026-05-18T00:33:07.645227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05614","created_at":"2026-05-18T00:33:07.645227+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCKXSWKE47TO","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCKXSWKE47TOZBEC","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCKXSWKE","created_at":"2026-05-18T12:31:21.493067+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/JCKXSWKE47TOZBEC2IUCXI3ELH","json":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH.json","graph_json":"https://pith.science/api/pith-number/JCKXSWKE47TOZBEC2IUCXI3ELH/graph.json","events_json":"https://pith.science/api/pith-number/JCKXSWKE47TOZBEC2IUCXI3ELH/events.json","paper":"https://pith.science/paper/JCKXSWKE"},"agent_actions":{"view_html":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH","download_json":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH.json","view_paper":"https://pith.science/paper/JCKXSWKE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05614&json=true","fetch_graph":"https://pith.science/api/pith-number/JCKXSWKE47TOZBEC2IUCXI3ELH/graph.json","fetch_events":"https://pith.science/api/pith-number/JCKXSWKE47TOZBEC2IUCXI3ELH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH/action/storage_attestation","attest_author":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH/action/author_attestation","sign_citation":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH/action/citation_signature","submit_replication":"https://pith.science/pith/JCKXSWKE47TOZBEC2IUCXI3ELH/action/replication_record"}},"created_at":"2026-05-18T00:33:07.645227+00:00","updated_at":"2026-05-18T00:33:07.645227+00:00"}