{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:A3V77FUWBC3IST3MRSCHVRNAVL","short_pith_number":"pith:A3V77FUW","schema_version":"1.0","canonical_sha256":"06ebff969608b6894f6c8c847ac5a0aaca9052c18d519c92534fbaf4ab6c9475","source":{"kind":"arxiv","id":"1709.06899","version":2},"attestation_state":"computed","paper":{"title":"The random pinning model with correlated disorder given by a renewal set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dimitris Cheliotis, Julien Poisat (CEREMADE), Yuki Chino","submitted_at":"2017-09-20T14:25:32Z","abstract_excerpt":"We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent $\\alpha$ > 0, when the correlated sequence is given by another independent renewal set with loop exponent $\\alpha$ > 0. Using the renewal structure of the disorder sequence, we compute the annealed critical point and exponent. Then, using a smoothing inequality for the quenched free energy and second moment estimates for the quenched partition function, combined with decoupling inequalities, we prove that in the case $\\alpha$ > 2 (summable correlations), disorder i"},"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":"1709.06899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-20T14:25:32Z","cross_cats_sorted":[],"title_canon_sha256":"4311d0e48edf0f1823ccd528d6c5c822b866207662c4d53b4ef7f423a290373e","abstract_canon_sha256":"bc622cabdf170db8ff40a654991bb8ec4a443616755c2ea43fb1a5427a739ab3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:37.280190Z","signature_b64":"HngmBawnioejV7DuZrgRDAIz6sIuMAvaOsN3njbr6s8tQK/gebW9pSmAC7FGmVTfJ9v/t6tFm33OeqMXMtZtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06ebff969608b6894f6c8c847ac5a0aaca9052c18d519c92534fbaf4ab6c9475","last_reissued_at":"2026-05-17T23:39:37.279626Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:37.279626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The random pinning model with correlated disorder given by a renewal set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dimitris Cheliotis, Julien Poisat (CEREMADE), Yuki Chino","submitted_at":"2017-09-20T14:25:32Z","abstract_excerpt":"We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent $\\alpha$ > 0, when the correlated sequence is given by another independent renewal set with loop exponent $\\alpha$ > 0. Using the renewal structure of the disorder sequence, we compute the annealed critical point and exponent. Then, using a smoothing inequality for the quenched free energy and second moment estimates for the quenched partition function, combined with decoupling inequalities, we prove that in the case $\\alpha$ > 2 (summable correlations), disorder i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06899","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":"1709.06899","created_at":"2026-05-17T23:39:37.279712+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.06899v2","created_at":"2026-05-17T23:39:37.279712+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06899","created_at":"2026-05-17T23:39:37.279712+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3V77FUWBC3I","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3V77FUWBC3IST3M","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3V77FUW","created_at":"2026-05-18T12:31:05.417338+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/A3V77FUWBC3IST3MRSCHVRNAVL","json":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL.json","graph_json":"https://pith.science/api/pith-number/A3V77FUWBC3IST3MRSCHVRNAVL/graph.json","events_json":"https://pith.science/api/pith-number/A3V77FUWBC3IST3MRSCHVRNAVL/events.json","paper":"https://pith.science/paper/A3V77FUW"},"agent_actions":{"view_html":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL","download_json":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL.json","view_paper":"https://pith.science/paper/A3V77FUW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.06899&json=true","fetch_graph":"https://pith.science/api/pith-number/A3V77FUWBC3IST3MRSCHVRNAVL/graph.json","fetch_events":"https://pith.science/api/pith-number/A3V77FUWBC3IST3MRSCHVRNAVL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL/action/storage_attestation","attest_author":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL/action/author_attestation","sign_citation":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL/action/citation_signature","submit_replication":"https://pith.science/pith/A3V77FUWBC3IST3MRSCHVRNAVL/action/replication_record"}},"created_at":"2026-05-17T23:39:37.279712+00:00","updated_at":"2026-05-17T23:39:37.279712+00:00"}