{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3Y7KAXDGKDWG6TXQXLCMOOB6FS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9c77c5a42f0e61bf45bdb0c656cc72caba0adb0a775380ecb5acdb8fcadb1e60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-10T16:14:01Z","title_canon_sha256":"376eb86157a4c4537ed5d1cd2f2aef91c6d5ec013a240d80d1b20d318c6f7369"},"schema_version":"1.0","source":{"id":"1610.02979","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02979","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02979v2","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02979","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"3Y7KAXDGKDWG","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3Y7KAXDGKDWG6TXQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3Y7KAXDG","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:c4335ae0fc0de482fb89f133a163d1eadc0e262d85438ddfb0bbfd6fecb864d7","target":"graph","created_at":"2026-05-17T23:45:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Alexander Fribergh, Serguei Popov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-10T16:14:01Z","title":"Biased random walk on the interlacement set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02979","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:38025f373e4b634a163a1a165e8c0521fb09e7a7ce89210def2bfa9a426e5f6a","target":"record","created_at":"2026-05-17T23:45:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9c77c5a42f0e61bf45bdb0c656cc72caba0adb0a775380ecb5acdb8fcadb1e60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-10T16:14:01Z","title_canon_sha256":"376eb86157a4c4537ed5d1cd2f2aef91c6d5ec013a240d80d1b20d318c6f7369"},"schema_version":"1.0","source":{"id":"1610.02979","kind":"arxiv","version":2}},"canonical_sha256":"de3ea05c6650ec6f4ef0bac4c7383e2cb964ab222ef913d7bd1bd378088d7f89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de3ea05c6650ec6f4ef0bac4c7383e2cb964ab222ef913d7bd1bd378088d7f89","first_computed_at":"2026-05-17T23:45:05.018694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:05.018694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6LKz654ijuwlN3frWQMZGubHbm1O6LghAHy3QJMxxZZKySx3xpZx36DlaKMCnLLzqxISHlzFtuHUuO3cbfvCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:05.019286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02979","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38025f373e4b634a163a1a165e8c0521fb09e7a7ce89210def2bfa9a426e5f6a","sha256:c4335ae0fc0de482fb89f133a163d1eadc0e262d85438ddfb0bbfd6fecb864d7"],"state_sha256":"820bbebebc503b8b7c8caa0c13926ca6c4015e42fb0df1c0b48e0c91929287b0"}