{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:3KDCRPPLEIH2UWHGUOCDYPGYKH","short_pith_number":"pith:3KDCRPPL","schema_version":"1.0","canonical_sha256":"da8628bdeb220faa58e6a3843c3cd851e1044cd517e02dadcd000929d6140eb7","source":{"kind":"arxiv","id":"1011.1452","version":1},"attestation_state":"computed","paper":{"title":"Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Davar Khoshnevisan, Marc Wouts, Yueyun Hu","submitted_at":"2010-11-05T16:40:31Z","abstract_excerpt":"We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperature, the polymer is delocalized in the sense that: (1) The rescaled trajectory of the polymer converges to the Brownian path; and (2) The partition function remains bounded. At the critical inverse temperature, we show that the maximum time spent at points jumps discontinuously from 0 to a positive fraction of the number of monomers, in the limit as the number of monomers tends to infinity. Finally,"},"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":"1011.1452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-05T16:40:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"924cc42fabda1b3aa06ff99f9da7fea9e05ac72055f2609a0a35b1b4f9231aa7","abstract_canon_sha256":"863958337cc83b63e05563fd263d8b1a2cac3542b0c26925476a0363913c7fad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:50.960790Z","signature_b64":"cVbCIdQEBFKa6ISMCPk1pBFpEMqAxjnowa/iYmPSvKnGJBCHGZd8iRuHyS1TMY5wtu3zxIU87Olq/N0/T7muBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da8628bdeb220faa58e6a3843c3cd851e1044cd517e02dadcd000929d6140eb7","last_reissued_at":"2026-05-18T02:04:50.960217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:50.960217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Davar Khoshnevisan, Marc Wouts, Yueyun Hu","submitted_at":"2010-11-05T16:40:31Z","abstract_excerpt":"We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperature, the polymer is delocalized in the sense that: (1) The rescaled trajectory of the polymer converges to the Brownian path; and (2) The partition function remains bounded. At the critical inverse temperature, we show that the maximum time spent at points jumps discontinuously from 0 to a positive fraction of the number of monomers, in the limit as the number of monomers tends to infinity. Finally,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1452","kind":"arxiv","version":1},"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":"1011.1452","created_at":"2026-05-18T02:04:50.960330+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.1452v1","created_at":"2026-05-18T02:04:50.960330+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1452","created_at":"2026-05-18T02:04:50.960330+00:00"},{"alias_kind":"pith_short_12","alias_value":"3KDCRPPLEIH2","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"3KDCRPPLEIH2UWHG","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"3KDCRPPL","created_at":"2026-05-18T12:26:03.138858+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/3KDCRPPLEIH2UWHGUOCDYPGYKH","json":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH.json","graph_json":"https://pith.science/api/pith-number/3KDCRPPLEIH2UWHGUOCDYPGYKH/graph.json","events_json":"https://pith.science/api/pith-number/3KDCRPPLEIH2UWHGUOCDYPGYKH/events.json","paper":"https://pith.science/paper/3KDCRPPL"},"agent_actions":{"view_html":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH","download_json":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH.json","view_paper":"https://pith.science/paper/3KDCRPPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.1452&json=true","fetch_graph":"https://pith.science/api/pith-number/3KDCRPPLEIH2UWHGUOCDYPGYKH/graph.json","fetch_events":"https://pith.science/api/pith-number/3KDCRPPLEIH2UWHGUOCDYPGYKH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH/action/storage_attestation","attest_author":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH/action/author_attestation","sign_citation":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH/action/citation_signature","submit_replication":"https://pith.science/pith/3KDCRPPLEIH2UWHGUOCDYPGYKH/action/replication_record"}},"created_at":"2026-05-18T02:04:50.960330+00:00","updated_at":"2026-05-18T02:04:50.960330+00:00"}