{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:THBQ44JQOAEPEVJ3LH6WBWVZ33","short_pith_number":"pith:THBQ44JQ","schema_version":"1.0","canonical_sha256":"99c30e71307008f2553b59fd60dab9ded0e072a18a448a17024777f8a2989ce7","source":{"kind":"arxiv","id":"1608.03264","version":2},"attestation_state":"computed","paper":{"title":"Conditioned random walks and interaction-driven condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Juraj Szavits-Nossan, Martin R. Evans, Satya N. Majumdar","submitted_at":"2016-08-10T19:38:47Z","abstract_excerpt":"We consider a discrete-time continuous-space random walk under the constraints that the number of returns to the origin (local time) and the total area under the walk are fixed. We first compute the joint probability of an excursion having area $a$ and returning to the origin for the first time after time $\\tau$. We then show how condensation occurs when the total area constraint is increased: an excursion containing a finite fraction of the area emerges. Finally we show how the phenomena generalises previously studied cases of condensation induced by several constraints and how it is related "},"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":"1608.03264","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-08-10T19:38:47Z","cross_cats_sorted":[],"title_canon_sha256":"924eafb1b4bce82bc8efe40f184c6f0ae51f013b79251acf3a2faa572689c6ff","abstract_canon_sha256":"e1611e1afb7d9b5978e369ca4e4f4108a4fe2b390fa7d77d55101e4c862d1912"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:20.894098Z","signature_b64":"+ik8Mna+EmCsn6JuJ+Y17D4ExFiKZ8Fw114w5n977ATHBxycWzrtTa/H27qkUsqglUBZeNnJGeNCfSIo+NTbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99c30e71307008f2553b59fd60dab9ded0e072a18a448a17024777f8a2989ce7","last_reissued_at":"2026-05-18T00:55:20.893389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:20.893389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditioned random walks and interaction-driven condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Juraj Szavits-Nossan, Martin R. Evans, Satya N. Majumdar","submitted_at":"2016-08-10T19:38:47Z","abstract_excerpt":"We consider a discrete-time continuous-space random walk under the constraints that the number of returns to the origin (local time) and the total area under the walk are fixed. We first compute the joint probability of an excursion having area $a$ and returning to the origin for the first time after time $\\tau$. We then show how condensation occurs when the total area constraint is increased: an excursion containing a finite fraction of the area emerges. Finally we show how the phenomena generalises previously studied cases of condensation induced by several constraints and how it is related "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03264","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":"1608.03264","created_at":"2026-05-18T00:55:20.893504+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.03264v2","created_at":"2026-05-18T00:55:20.893504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03264","created_at":"2026-05-18T00:55:20.893504+00:00"},{"alias_kind":"pith_short_12","alias_value":"THBQ44JQOAEP","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"THBQ44JQOAEPEVJ3","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"THBQ44JQ","created_at":"2026-05-18T12:30:44.179134+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/THBQ44JQOAEPEVJ3LH6WBWVZ33","json":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33.json","graph_json":"https://pith.science/api/pith-number/THBQ44JQOAEPEVJ3LH6WBWVZ33/graph.json","events_json":"https://pith.science/api/pith-number/THBQ44JQOAEPEVJ3LH6WBWVZ33/events.json","paper":"https://pith.science/paper/THBQ44JQ"},"agent_actions":{"view_html":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33","download_json":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33.json","view_paper":"https://pith.science/paper/THBQ44JQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.03264&json=true","fetch_graph":"https://pith.science/api/pith-number/THBQ44JQOAEPEVJ3LH6WBWVZ33/graph.json","fetch_events":"https://pith.science/api/pith-number/THBQ44JQOAEPEVJ3LH6WBWVZ33/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33/action/timestamp_anchor","attest_storage":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33/action/storage_attestation","attest_author":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33/action/author_attestation","sign_citation":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33/action/citation_signature","submit_replication":"https://pith.science/pith/THBQ44JQOAEPEVJ3LH6WBWVZ33/action/replication_record"}},"created_at":"2026-05-18T00:55:20.893504+00:00","updated_at":"2026-05-18T00:55:20.893504+00:00"}