{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3Y7KAXDGKDWG6TXQXLCMOOB6FS","short_pith_number":"pith:3Y7KAXDG","schema_version":"1.0","canonical_sha256":"de3ea05c6650ec6f4ef0bac4c7383e2cb964ab222ef913d7bd1bd378088d7f89","source":{"kind":"arxiv","id":"1610.02979","version":2},"attestation_state":"computed","paper":{"title":"Biased random walk on the interlacement set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fribergh, Serguei Popov","submitted_at":"2016-10-10T16:14:01Z","abstract_excerpt":"We study a biased random walk on the interlacement set of $\\mathbb{Z}^d$ for $d\\geq 3$. Although the walk is always transient, we can show, in the case $d=3$, that for any value of the bias the walk has a zero limiting speed and actually moves slower than any power."},"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":"1610.02979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-10T16:14:01Z","cross_cats_sorted":[],"title_canon_sha256":"376eb86157a4c4537ed5d1cd2f2aef91c6d5ec013a240d80d1b20d318c6f7369","abstract_canon_sha256":"9c77c5a42f0e61bf45bdb0c656cc72caba0adb0a775380ecb5acdb8fcadb1e60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:05.019286Z","signature_b64":"K6LKz654ijuwlN3frWQMZGubHbm1O6LghAHy3QJMxxZZKySx3xpZx36DlaKMCnLLzqxISHlzFtuHUuO3cbfvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de3ea05c6650ec6f4ef0bac4c7383e2cb964ab222ef913d7bd1bd378088d7f89","last_reissued_at":"2026-05-17T23:45:05.018694Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:05.018694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Biased random walk on the interlacement set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fribergh, Serguei Popov","submitted_at":"2016-10-10T16:14:01Z","abstract_excerpt":"We study a biased random walk on the interlacement set of $\\mathbb{Z}^d$ for $d\\geq 3$. Although the walk is always transient, we can show, in the case $d=3$, that for any value of the bias the walk has a zero limiting speed and actually moves slower than any power."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02979","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":"1610.02979","created_at":"2026-05-17T23:45:05.018797+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.02979v2","created_at":"2026-05-17T23:45:05.018797+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02979","created_at":"2026-05-17T23:45:05.018797+00:00"},{"alias_kind":"pith_short_12","alias_value":"3Y7KAXDGKDWG","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"3Y7KAXDGKDWG6TXQ","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"3Y7KAXDG","created_at":"2026-05-18T12:29:58.707656+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/3Y7KAXDGKDWG6TXQXLCMOOB6FS","json":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS.json","graph_json":"https://pith.science/api/pith-number/3Y7KAXDGKDWG6TXQXLCMOOB6FS/graph.json","events_json":"https://pith.science/api/pith-number/3Y7KAXDGKDWG6TXQXLCMOOB6FS/events.json","paper":"https://pith.science/paper/3Y7KAXDG"},"agent_actions":{"view_html":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS","download_json":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS.json","view_paper":"https://pith.science/paper/3Y7KAXDG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.02979&json=true","fetch_graph":"https://pith.science/api/pith-number/3Y7KAXDGKDWG6TXQXLCMOOB6FS/graph.json","fetch_events":"https://pith.science/api/pith-number/3Y7KAXDGKDWG6TXQXLCMOOB6FS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS/action/storage_attestation","attest_author":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS/action/author_attestation","sign_citation":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS/action/citation_signature","submit_replication":"https://pith.science/pith/3Y7KAXDGKDWG6TXQXLCMOOB6FS/action/replication_record"}},"created_at":"2026-05-17T23:45:05.018797+00:00","updated_at":"2026-05-17T23:45:05.018797+00:00"}