{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RRWJ2RTKEUNR7Y6KMQYPY7P2EG","short_pith_number":"pith:RRWJ2RTK","schema_version":"1.0","canonical_sha256":"8c6c9d466a251b1fe3ca6430fc7dfa2191c23c7ecf1351ea2b1641605b453e2e","source":{"kind":"arxiv","id":"1306.1197","version":2},"attestation_state":"computed","paper":{"title":"Sublinear variance in first-passage percolation for general distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jack Hanson, Michael Damron, Philippe Sosoe","submitted_at":"2013-06-05T18:04:28Z","abstract_excerpt":"We prove that the variance of the passage time from the origin to a point x in first-passage percolation on Z^d is sublinear in the distance to x when d \\geq 2, obeying the bound Cx/(log x), under minimal assumptions on the edge-weight distribution. The proof applies equally to absolutely continuous, discrete and singular continuous distributions and mixtures thereof, and requires only 2+log moments. The main result extends work of Benjamini-Kalai-Schramm and Benaim-Rossignol."},"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":"1306.1197","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-05T18:04:28Z","cross_cats_sorted":[],"title_canon_sha256":"389770b4ba328149e35c8b6fe4ef7df178347ad43efcf25027a81342d02f71c9","abstract_canon_sha256":"0bd6814d28ef7aea94ebdc8cf1a06c9f60fcca3ff4521e214bc7151c52985db3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:44.569934Z","signature_b64":"jNSa91g4mQ4FuXuzSVZfqyhAP67rdfiVV0pq1szJ7Y5LFtzgeLTzVfaDivn294pUH9dd12lI4/YSmUMU37HhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c6c9d466a251b1fe3ca6430fc7dfa2191c23c7ecf1351ea2b1641605b453e2e","last_reissued_at":"2026-05-18T00:57:44.569342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:44.569342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sublinear variance in first-passage percolation for general distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jack Hanson, Michael Damron, Philippe Sosoe","submitted_at":"2013-06-05T18:04:28Z","abstract_excerpt":"We prove that the variance of the passage time from the origin to a point x in first-passage percolation on Z^d is sublinear in the distance to x when d \\geq 2, obeying the bound Cx/(log x), under minimal assumptions on the edge-weight distribution. The proof applies equally to absolutely continuous, discrete and singular continuous distributions and mixtures thereof, and requires only 2+log moments. The main result extends work of Benjamini-Kalai-Schramm and Benaim-Rossignol."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1197","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":"1306.1197","created_at":"2026-05-18T00:57:44.569441+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.1197v2","created_at":"2026-05-18T00:57:44.569441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1197","created_at":"2026-05-18T00:57:44.569441+00:00"},{"alias_kind":"pith_short_12","alias_value":"RRWJ2RTKEUNR","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"RRWJ2RTKEUNR7Y6K","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"RRWJ2RTK","created_at":"2026-05-18T12:27:59.945178+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/RRWJ2RTKEUNR7Y6KMQYPY7P2EG","json":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG.json","graph_json":"https://pith.science/api/pith-number/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/graph.json","events_json":"https://pith.science/api/pith-number/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/events.json","paper":"https://pith.science/paper/RRWJ2RTK"},"agent_actions":{"view_html":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG","download_json":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG.json","view_paper":"https://pith.science/paper/RRWJ2RTK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.1197&json=true","fetch_graph":"https://pith.science/api/pith-number/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/graph.json","fetch_events":"https://pith.science/api/pith-number/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/action/storage_attestation","attest_author":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/action/author_attestation","sign_citation":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/action/citation_signature","submit_replication":"https://pith.science/pith/RRWJ2RTKEUNR7Y6KMQYPY7P2EG/action/replication_record"}},"created_at":"2026-05-18T00:57:44.569441+00:00","updated_at":"2026-05-18T00:57:44.569441+00:00"}