{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:V2U6LE2A5WDX3P3OPQJLDO26CG","short_pith_number":"pith:V2U6LE2A","schema_version":"1.0","canonical_sha256":"aea9e59340ed877dbf6e7c12b1bb5e118c467361c2252450ba6ea948633fcf7c","source":{"kind":"arxiv","id":"math/0509464","version":3},"attestation_state":"computed","paper":{"title":"Excited random walk against a wall","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Gady Kozma, Gideon Amir, Itai Benjamini","submitted_at":"2005-09-21T01:23:36Z","abstract_excerpt":"We analyze random walk in the upper half of a three dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurrent with an expected number of returns of square-root log n."},"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":"math/0509464","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2005-09-21T01:23:36Z","cross_cats_sorted":[],"title_canon_sha256":"86fd71c4848b07b9f7c13641ef4784faac8d9a228ee059b08b2550f9c0c5ff87","abstract_canon_sha256":"44e763f403ea6c42efb32c8edcad00b08abe5154c6f94e60d6b6af97cc60f273"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:50:38.437892Z","signature_b64":"186DN1RpwiT6AUvEeTDE0aCPFtrmoyPIkieMQwOXZEmNC0ZNENenJ6/YcAaxnjTFGSuXutS+uUXEqdWEhBVgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aea9e59340ed877dbf6e7c12b1bb5e118c467361c2252450ba6ea948633fcf7c","last_reissued_at":"2026-07-04T14:50:38.437367Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:50:38.437367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Excited random walk against a wall","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Gady Kozma, Gideon Amir, Itai Benjamini","submitted_at":"2005-09-21T01:23:36Z","abstract_excerpt":"We analyze random walk in the upper half of a three dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurrent with an expected number of returns of square-root log n."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509464","kind":"arxiv","version":3},"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/math/0509464/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":"math/0509464","created_at":"2026-07-04T14:50:38.437448+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0509464v3","created_at":"2026-07-04T14:50:38.437448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0509464","created_at":"2026-07-04T14:50:38.437448+00:00"},{"alias_kind":"pith_short_12","alias_value":"V2U6LE2A5WDX","created_at":"2026-07-04T14:50:38.437448+00:00"},{"alias_kind":"pith_short_16","alias_value":"V2U6LE2A5WDX3P3O","created_at":"2026-07-04T14:50:38.437448+00:00"},{"alias_kind":"pith_short_8","alias_value":"V2U6LE2A","created_at":"2026-07-04T14:50:38.437448+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/V2U6LE2A5WDX3P3OPQJLDO26CG","json":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG.json","graph_json":"https://pith.science/api/pith-number/V2U6LE2A5WDX3P3OPQJLDO26CG/graph.json","events_json":"https://pith.science/api/pith-number/V2U6LE2A5WDX3P3OPQJLDO26CG/events.json","paper":"https://pith.science/paper/V2U6LE2A"},"agent_actions":{"view_html":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG","download_json":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG.json","view_paper":"https://pith.science/paper/V2U6LE2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0509464&json=true","fetch_graph":"https://pith.science/api/pith-number/V2U6LE2A5WDX3P3OPQJLDO26CG/graph.json","fetch_events":"https://pith.science/api/pith-number/V2U6LE2A5WDX3P3OPQJLDO26CG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG/action/storage_attestation","attest_author":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG/action/author_attestation","sign_citation":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG/action/citation_signature","submit_replication":"https://pith.science/pith/V2U6LE2A5WDX3P3OPQJLDO26CG/action/replication_record"}},"created_at":"2026-07-04T14:50:38.437448+00:00","updated_at":"2026-07-04T14:50:38.437448+00:00"}