{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JSLNMNWIR6NA54X6HUZJSYENS7","short_pith_number":"pith:JSLNMNWI","schema_version":"1.0","canonical_sha256":"4c96d636c88f9a0ef2fe3d3299608d97d32ce9e129f27156f2d8599f09a3f456","source":{"kind":"arxiv","id":"1104.1321","version":1},"attestation_state":"computed","paper":{"title":"Multiple geodesics with the same direction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"David Coupier","submitted_at":"2011-04-07T12:49:41Z","abstract_excerpt":"The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \\cite{FP}. In particular, using a recent result of \\cite{CH2} and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1."},"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":"1104.1321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-07T12:49:41Z","cross_cats_sorted":[],"title_canon_sha256":"fe6a14432efe10615c2660b1dc8be744e8c138313e593364a184358f6cd6c884","abstract_canon_sha256":"ffe2857d14b959cfed8e0d80ac7a7b91adbb3a1069ea6663b812e1c5093fd171"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:52.450306Z","signature_b64":"Y4jIFzvEKB4+DhkHPQQddB+HVDSd+InZGOARuNU2NOD95nD/CSDLhKSd7g9373v8beg7stWIrqnSwO0bnDH5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c96d636c88f9a0ef2fe3d3299608d97d32ce9e129f27156f2d8599f09a3f456","last_reissued_at":"2026-05-18T04:24:52.449828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:52.449828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple geodesics with the same direction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"David Coupier","submitted_at":"2011-04-07T12:49:41Z","abstract_excerpt":"The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \\cite{FP}. In particular, using a recent result of \\cite{CH2} and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1321","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":""},"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":"1104.1321","created_at":"2026-05-18T04:24:52.449901+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.1321v1","created_at":"2026-05-18T04:24:52.449901+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1321","created_at":"2026-05-18T04:24:52.449901+00:00"},{"alias_kind":"pith_short_12","alias_value":"JSLNMNWIR6NA","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JSLNMNWIR6NA54X6","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JSLNMNWI","created_at":"2026-05-18T12:26:32.869790+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/JSLNMNWIR6NA54X6HUZJSYENS7","json":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7.json","graph_json":"https://pith.science/api/pith-number/JSLNMNWIR6NA54X6HUZJSYENS7/graph.json","events_json":"https://pith.science/api/pith-number/JSLNMNWIR6NA54X6HUZJSYENS7/events.json","paper":"https://pith.science/paper/JSLNMNWI"},"agent_actions":{"view_html":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7","download_json":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7.json","view_paper":"https://pith.science/paper/JSLNMNWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.1321&json=true","fetch_graph":"https://pith.science/api/pith-number/JSLNMNWIR6NA54X6HUZJSYENS7/graph.json","fetch_events":"https://pith.science/api/pith-number/JSLNMNWIR6NA54X6HUZJSYENS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7/action/storage_attestation","attest_author":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7/action/author_attestation","sign_citation":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7/action/citation_signature","submit_replication":"https://pith.science/pith/JSLNMNWIR6NA54X6HUZJSYENS7/action/replication_record"}},"created_at":"2026-05-18T04:24:52.449901+00:00","updated_at":"2026-05-18T04:24:52.449901+00:00"}