{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:MWCDA44J6NSRBI22HVNQZNLYRC","short_pith_number":"pith:MWCDA44J","schema_version":"1.0","canonical_sha256":"6584307389f36510a35a3d5b0cb578889b4ac9732fe9859900a054481d228f1f","source":{"kind":"arxiv","id":"0802.2491","version":2},"attestation_state":"computed","paper":{"title":"Ballot theorems for random walks with finite variance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"B.A. Reed, L. Addario-Berry","submitted_at":"2008-02-18T14:18:13Z","abstract_excerpt":"We prove an analogue of the classical ballot theorem that holds for any random walk in the range of attraction of the normal distribution. Our result is best possible: we exhibit examples demonstrating that if any of our hypotheses are removed, our conclusions may no longer hold."},"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":"0802.2491","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-02-18T14:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"61482892984efcd8bd3b1574b7a77c4f95abfbbddb93dd67190367eda0ecd35e","abstract_canon_sha256":"e494e819f0fa8487ba6143f7f0d6147d3399cd31fe22567ed3afeb0bef581dcd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:09:51.160813Z","signature_b64":"T/oN7Nyx2YqRt9pwCYbYwVKf+cPma6J90yyfDiwoNczz2tQ5XaWelYzWFg0iV5qO8R3Vq6UeXd7kfFEf3j38Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6584307389f36510a35a3d5b0cb578889b4ac9732fe9859900a054481d228f1f","last_reissued_at":"2026-07-04T15:09:51.160431Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:09:51.160431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ballot theorems for random walks with finite variance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"B.A. Reed, L. Addario-Berry","submitted_at":"2008-02-18T14:18:13Z","abstract_excerpt":"We prove an analogue of the classical ballot theorem that holds for any random walk in the range of attraction of the normal distribution. Our result is best possible: we exhibit examples demonstrating that if any of our hypotheses are removed, our conclusions may no longer hold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2491","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0802.2491/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":"0802.2491","created_at":"2026-07-04T15:09:51.160498+00:00"},{"alias_kind":"arxiv_version","alias_value":"0802.2491v2","created_at":"2026-07-04T15:09:51.160498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2491","created_at":"2026-07-04T15:09:51.160498+00:00"},{"alias_kind":"pith_short_12","alias_value":"MWCDA44J6NSR","created_at":"2026-07-04T15:09:51.160498+00:00"},{"alias_kind":"pith_short_16","alias_value":"MWCDA44J6NSRBI22","created_at":"2026-07-04T15:09:51.160498+00:00"},{"alias_kind":"pith_short_8","alias_value":"MWCDA44J","created_at":"2026-07-04T15:09:51.160498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.10384","citing_title":"Scaling limit and tail bounds for a random walk model of SOS level lines","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC","json":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC.json","graph_json":"https://pith.science/api/pith-number/MWCDA44J6NSRBI22HVNQZNLYRC/graph.json","events_json":"https://pith.science/api/pith-number/MWCDA44J6NSRBI22HVNQZNLYRC/events.json","paper":"https://pith.science/paper/MWCDA44J"},"agent_actions":{"view_html":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC","download_json":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC.json","view_paper":"https://pith.science/paper/MWCDA44J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0802.2491&json=true","fetch_graph":"https://pith.science/api/pith-number/MWCDA44J6NSRBI22HVNQZNLYRC/graph.json","fetch_events":"https://pith.science/api/pith-number/MWCDA44J6NSRBI22HVNQZNLYRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC/action/storage_attestation","attest_author":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC/action/author_attestation","sign_citation":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC/action/citation_signature","submit_replication":"https://pith.science/pith/MWCDA44J6NSRBI22HVNQZNLYRC/action/replication_record"}},"created_at":"2026-07-04T15:09:51.160498+00:00","updated_at":"2026-07-04T15:09:51.160498+00:00"}