{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:UPVJZZWI2BLKQPBO5PSHCS6IHK","short_pith_number":"pith:UPVJZZWI","schema_version":"1.0","canonical_sha256":"a3ea9ce6c8d056a83c2eebe4714bc83aa6cfce94f939d2313b90c6cd15a6da45","source":{"kind":"arxiv","id":"1406.5088","version":2},"attestation_state":"computed","paper":{"title":"The continuum disordered pinning model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Francesco Caravenna, Nikos Zygouras, Rongfeng Sun","submitted_at":"2014-06-19T15:50:08Z","abstract_excerpt":"Any renewal processes on $\\mathbb{N}$ with a polynomial tail, with exponent $\\alpha \\in (0,1)$, has a non-trivial scaling limit, known as the $\\alpha$-stable regenerative set. In this paper we consider Gibbs transformations of such renewal processes in an i.i.d. random environment, called disordered pinning models. We show that for $\\alpha \\in (1/2, 1)$ these models have a universal scaling limit, which we call the continuum disordered pinning model (CDPM). This is a random closed subset of $\\mathbb{R}$ in a white noise random environment, with subtle features:\n  -Any fixed a.s. property of th"},"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":"1406.5088","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-06-19T15:50:08Z","cross_cats_sorted":[],"title_canon_sha256":"9b11823cbb7e80644e6d874c29a654965252144c721350a1904a0134242ef260","abstract_canon_sha256":"26a35921085128abf25d2a45c197fc3846c8aaddfffbf4c04c508a5096faa918"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:22.238246Z","signature_b64":"1SgRsGnUPNtNmQuFxgvCC4vkSxXt6lFipmorjSehwo4qXPQY6IZvTVIT50T7/s08CjjzaDiTrOcqwWIhp6f5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3ea9ce6c8d056a83c2eebe4714bc83aa6cfce94f939d2313b90c6cd15a6da45","last_reissued_at":"2026-05-18T02:32:22.237885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:22.237885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The continuum disordered pinning model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Francesco Caravenna, Nikos Zygouras, Rongfeng Sun","submitted_at":"2014-06-19T15:50:08Z","abstract_excerpt":"Any renewal processes on $\\mathbb{N}$ with a polynomial tail, with exponent $\\alpha \\in (0,1)$, has a non-trivial scaling limit, known as the $\\alpha$-stable regenerative set. In this paper we consider Gibbs transformations of such renewal processes in an i.i.d. random environment, called disordered pinning models. We show that for $\\alpha \\in (1/2, 1)$ these models have a universal scaling limit, which we call the continuum disordered pinning model (CDPM). This is a random closed subset of $\\mathbb{R}$ in a white noise random environment, with subtle features:\n  -Any fixed a.s. property of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5088","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":"1406.5088","created_at":"2026-05-18T02:32:22.237941+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.5088v2","created_at":"2026-05-18T02:32:22.237941+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5088","created_at":"2026-05-18T02:32:22.237941+00:00"},{"alias_kind":"pith_short_12","alias_value":"UPVJZZWI2BLK","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"UPVJZZWI2BLKQPBO","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"UPVJZZWI","created_at":"2026-05-18T12:28:52.271510+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/UPVJZZWI2BLKQPBO5PSHCS6IHK","json":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK.json","graph_json":"https://pith.science/api/pith-number/UPVJZZWI2BLKQPBO5PSHCS6IHK/graph.json","events_json":"https://pith.science/api/pith-number/UPVJZZWI2BLKQPBO5PSHCS6IHK/events.json","paper":"https://pith.science/paper/UPVJZZWI"},"agent_actions":{"view_html":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK","download_json":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK.json","view_paper":"https://pith.science/paper/UPVJZZWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.5088&json=true","fetch_graph":"https://pith.science/api/pith-number/UPVJZZWI2BLKQPBO5PSHCS6IHK/graph.json","fetch_events":"https://pith.science/api/pith-number/UPVJZZWI2BLKQPBO5PSHCS6IHK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK/action/storage_attestation","attest_author":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK/action/author_attestation","sign_citation":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK/action/citation_signature","submit_replication":"https://pith.science/pith/UPVJZZWI2BLKQPBO5PSHCS6IHK/action/replication_record"}},"created_at":"2026-05-18T02:32:22.237941+00:00","updated_at":"2026-05-18T02:32:22.237941+00:00"}