{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JGCLZGVTAT2UWYIWNXYY5OECLH","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":"985a593a2343c0cd5aa108836eca9e05bf95aa2be33eb0281c0647bef9854018","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-02T00:15:31Z","title_canon_sha256":"1d4cf011879d2ee14f8f1c1d724bb7e491b089570dd9a7bb753967262d1e2932"},"schema_version":"1.0","source":{"id":"1511.00340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00340","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00340v1","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00340","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"JGCLZGVTAT2U","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JGCLZGVTAT2UWYIW","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JGCLZGVT","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:639efa88e449b8ddc1f196976d7c49a71c72b0fa7f8e075501422f028fb61abf","target":"graph","created_at":"2026-05-18T01:24:45Z","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 the structure of quasiperiodic Lorentz gases, i.e., particles bouncing elastically off fixed obstacles arranged in quasiperiodic lattices. By employing a construction to embed such structures into a higher dimensional periodic hyperlattice, we give a simple and efficient algorithm for numerical simulation of the dynamics of these systems. This same construction shows that quasiperiodic Lorentz gases generically exhibit a regime with infinite horizon, that is, empty channels through which the particles move without colliding, when the obstacles are small enough; in this case, the distr","authors_text":"Atahualpa S. Kraemer, David P. Sanders, Michael Schmiedeberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-02T00:15:31Z","title":"Horizons and free path distributions in quasiperiodic Lorentz gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00340","kind":"arxiv","version":1},"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":"sha256:16a47e15d4105020f98c29ff8e34662b53f66ea19fea0fef1acd4d1c974fa92b","target":"record","created_at":"2026-05-18T01:24:45Z","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":"985a593a2343c0cd5aa108836eca9e05bf95aa2be33eb0281c0647bef9854018","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-11-02T00:15:31Z","title_canon_sha256":"1d4cf011879d2ee14f8f1c1d724bb7e491b089570dd9a7bb753967262d1e2932"},"schema_version":"1.0","source":{"id":"1511.00340","kind":"arxiv","version":1}},"canonical_sha256":"4984bc9ab304f54b61166df18eb88259c02c5fdfc6b5cc94452cc01479335315","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4984bc9ab304f54b61166df18eb88259c02c5fdfc6b5cc94452cc01479335315","first_computed_at":"2026-05-18T01:24:45.993126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:45.993126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ktAP3qXRZd0DIMx9pKES3hp/xUqy0wn6sxKvgjmp0r/Psc6FozAwnaApxTgtVrR4FuCOmJhVWiJz879488NDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:45.993747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16a47e15d4105020f98c29ff8e34662b53f66ea19fea0fef1acd4d1c974fa92b","sha256:639efa88e449b8ddc1f196976d7c49a71c72b0fa7f8e075501422f028fb61abf"],"state_sha256":"3a8355a2f922cab62a0caf531c30c034f3e243edad4323eb53573a626f972beb"}