{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EW3P6O2SDXNQ4UVBQC4AOPG44R","short_pith_number":"pith:EW3P6O2S","schema_version":"1.0","canonical_sha256":"25b6ff3b521ddb0e52a180b8073cdce44188f87150047dcea16630a91dc73fef","source":{"kind":"arxiv","id":"2502.10384","version":1},"attestation_state":"computed","paper":{"title":"Scaling limit and tail bounds for a random walk model of SOS level lines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christian Serio, Milind Hegde, Yujin H. Kim","submitted_at":"2025-02-14T18:58:02Z","abstract_excerpt":"This paper analyzes a random walk model for the level lines appearing in the entropic repulsion phenomena of three-dimensional discrete random interfaces above a hard wall; we are particularly motivated by the low-temperature (2+1)D solid-on-solid (SOS) model, where the emergence of these level lines has been rigorously established. The model we consider is a line ensemble of non-crossing random walk bridges above a wall with geometrically growing area tilts. Our main result, which in particular resolves a question of Caputo, Ioffe, and Wachtel (2019), is an edge 1:2:3 scaling limit for this e"},"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":"2502.10384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-02-14T18:58:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6fb4b067b2769aee717776a9039f2e51991437be6fab5da429823f0bf18d9f8c","abstract_canon_sha256":"44e766c31d52ef97e24887690ef291b3c27a8414a90dc6892b9e3b06849aeda9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:33.201667Z","signature_b64":"A6Lro3h5xTsA10xsMIrtZkvOAWUa39H/TDap7dJpkAAZBp/vQIAhn09C+QkgYGGr8oQcZx1UjvdTJxLBxJNfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25b6ff3b521ddb0e52a180b8073cdce44188f87150047dcea16630a91dc73fef","last_reissued_at":"2026-07-05T10:14:33.201181Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:33.201181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling limit and tail bounds for a random walk model of SOS level lines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christian Serio, Milind Hegde, Yujin H. Kim","submitted_at":"2025-02-14T18:58:02Z","abstract_excerpt":"This paper analyzes a random walk model for the level lines appearing in the entropic repulsion phenomena of three-dimensional discrete random interfaces above a hard wall; we are particularly motivated by the low-temperature (2+1)D solid-on-solid (SOS) model, where the emergence of these level lines has been rigorously established. The model we consider is a line ensemble of non-crossing random walk bridges above a wall with geometrically growing area tilts. Our main result, which in particular resolves a question of Caputo, Ioffe, and Wachtel (2019), is an edge 1:2:3 scaling limit for this e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10384","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.10384/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2502.10384","created_at":"2026-07-05T10:14:33.201237+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.10384v1","created_at":"2026-07-05T10:14:33.201237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10384","created_at":"2026-07-05T10:14:33.201237+00:00"},{"alias_kind":"pith_short_12","alias_value":"EW3P6O2SDXNQ","created_at":"2026-07-05T10:14:33.201237+00:00"},{"alias_kind":"pith_short_16","alias_value":"EW3P6O2SDXNQ4UVB","created_at":"2026-07-05T10:14:33.201237+00:00"},{"alias_kind":"pith_short_8","alias_value":"EW3P6O2S","created_at":"2026-07-05T10:14:33.201237+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.06612","citing_title":"The limit shape and emergence of the Discrete Gaussian level lines","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R","json":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R.json","graph_json":"https://pith.science/api/pith-number/EW3P6O2SDXNQ4UVBQC4AOPG44R/graph.json","events_json":"https://pith.science/api/pith-number/EW3P6O2SDXNQ4UVBQC4AOPG44R/events.json","paper":"https://pith.science/paper/EW3P6O2S"},"agent_actions":{"view_html":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R","download_json":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R.json","view_paper":"https://pith.science/paper/EW3P6O2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.10384&json=true","fetch_graph":"https://pith.science/api/pith-number/EW3P6O2SDXNQ4UVBQC4AOPG44R/graph.json","fetch_events":"https://pith.science/api/pith-number/EW3P6O2SDXNQ4UVBQC4AOPG44R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R/action/storage_attestation","attest_author":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R/action/author_attestation","sign_citation":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R/action/citation_signature","submit_replication":"https://pith.science/pith/EW3P6O2SDXNQ4UVBQC4AOPG44R/action/replication_record"}},"created_at":"2026-07-05T10:14:33.201237+00:00","updated_at":"2026-07-05T10:14:33.201237+00:00"}