{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:N7GLZI5KLKVE26E3SOLP3JOODK","short_pith_number":"pith:N7GLZI5K","canonical_record":{"source":{"id":"1409.0688","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-02T12:52:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2f0f600cdd7c199655b544e44b22607c01e05196f9f444cbd515eba47293cce0","abstract_canon_sha256":"059a1594d700293a592c4579572c61cf53631b0deda1b32ed1644ae34b0387f0"},"schema_version":"1.0"},"canonical_sha256":"6fccbca3aa5aaa4d789b9396fda5ce1abbcafc89dbb7401d75043e83f67e8b5b","source":{"kind":"arxiv","id":"1409.0688","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0688","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0688v3","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0688","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"N7GLZI5KLKVE","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N7GLZI5KLKVE26E3","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N7GLZI5K","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:N7GLZI5KLKVE26E3SOLP3JOODK","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0688","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-02T12:52:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2f0f600cdd7c199655b544e44b22607c01e05196f9f444cbd515eba47293cce0","abstract_canon_sha256":"059a1594d700293a592c4579572c61cf53631b0deda1b32ed1644ae34b0387f0"},"schema_version":"1.0"},"canonical_sha256":"6fccbca3aa5aaa4d789b9396fda5ce1abbcafc89dbb7401d75043e83f67e8b5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:10.717236Z","signature_b64":"hnB5fqQz1rCgSzJIJLg6AZ0lyQveyZ3ACO1583kUyco9yG3XQ8/x2tTUiPDkEU0dPKAo31nj6xGSRGzDca3qAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fccbca3aa5aaa4d789b9396fda5ce1abbcafc89dbb7401d75043e83f67e8b5b","last_reissued_at":"2026-05-18T02:04:10.716432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:10.716432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0688","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CM2S7kF9Vex/2xL519RSe/h0ju142u56qAjCxPmGoM5jw+x0l+h8d8PazvhikMNLbey+e+W1dWhoTPoX8q6fDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:02.558504Z"},"content_sha256":"116fccd6212a7593a69c796af893a33c6f48978696f53f1529794fd3a193334e","schema_version":"1.0","event_id":"sha256:116fccd6212a7593a69c796af893a33c6f48978696f53f1529794fd3a193334e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:N7GLZI5KLKVE26E3SOLP3JOODK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dimensional study of the dynamical arrest in a random Lorentz gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Patrick Charbonneau, Yuliang Jin","submitted_at":"2014-09-02T12:52:42Z","abstract_excerpt":"The random Lorentz gas is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d=2-6. Comparing the results with standard mode-coupling theory reveals that the dynamical theory prediction grows increasingly worse with $d$. In an effort to clarify the origin of this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0688","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oM6fMogRfdLyVf0fShkqYZQ8Brx+gUgVoA36MOrFSKXNrtJPOdwEr3uWFnPP/Lp77MM2tsbLOp5QnpzIR3orAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:02.559176Z"},"content_sha256":"9bd03f2f153e5bdc531716728a35ca0ad775d84cdbdab28b5b7d01d10c894133","schema_version":"1.0","event_id":"sha256:9bd03f2f153e5bdc531716728a35ca0ad775d84cdbdab28b5b7d01d10c894133"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7GLZI5KLKVE26E3SOLP3JOODK/bundle.json","state_url":"https://pith.science/pith/N7GLZI5KLKVE26E3SOLP3JOODK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7GLZI5KLKVE26E3SOLP3JOODK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T11:55:02Z","links":{"resolver":"https://pith.science/pith/N7GLZI5KLKVE26E3SOLP3JOODK","bundle":"https://pith.science/pith/N7GLZI5KLKVE26E3SOLP3JOODK/bundle.json","state":"https://pith.science/pith/N7GLZI5KLKVE26E3SOLP3JOODK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7GLZI5KLKVE26E3SOLP3JOODK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N7GLZI5KLKVE26E3SOLP3JOODK","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":"059a1594d700293a592c4579572c61cf53631b0deda1b32ed1644ae34b0387f0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-02T12:52:42Z","title_canon_sha256":"2f0f600cdd7c199655b544e44b22607c01e05196f9f444cbd515eba47293cce0"},"schema_version":"1.0","source":{"id":"1409.0688","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0688","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0688v3","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0688","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"N7GLZI5KLKVE","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N7GLZI5KLKVE26E3","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N7GLZI5K","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:9bd03f2f153e5bdc531716728a35ca0ad775d84cdbdab28b5b7d01d10c894133","target":"graph","created_at":"2026-05-18T02:04:10Z","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":"The random Lorentz gas is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d=2-6. Comparing the results with standard mode-coupling theory reveals that the dynamical theory prediction grows increasingly worse with $d$. In an effort to clarify the origin of this","authors_text":"Patrick Charbonneau, Yuliang Jin","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-02T12:52:42Z","title":"Dimensional study of the dynamical arrest in a random Lorentz gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0688","kind":"arxiv","version":3},"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":"sha256:116fccd6212a7593a69c796af893a33c6f48978696f53f1529794fd3a193334e","target":"record","created_at":"2026-05-18T02:04:10Z","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":"059a1594d700293a592c4579572c61cf53631b0deda1b32ed1644ae34b0387f0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-02T12:52:42Z","title_canon_sha256":"2f0f600cdd7c199655b544e44b22607c01e05196f9f444cbd515eba47293cce0"},"schema_version":"1.0","source":{"id":"1409.0688","kind":"arxiv","version":3}},"canonical_sha256":"6fccbca3aa5aaa4d789b9396fda5ce1abbcafc89dbb7401d75043e83f67e8b5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fccbca3aa5aaa4d789b9396fda5ce1abbcafc89dbb7401d75043e83f67e8b5b","first_computed_at":"2026-05-18T02:04:10.716432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:10.716432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hnB5fqQz1rCgSzJIJLg6AZ0lyQveyZ3ACO1583kUyco9yG3XQ8/x2tTUiPDkEU0dPKAo31nj6xGSRGzDca3qAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:10.717236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0688","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:116fccd6212a7593a69c796af893a33c6f48978696f53f1529794fd3a193334e","sha256:9bd03f2f153e5bdc531716728a35ca0ad775d84cdbdab28b5b7d01d10c894133"],"state_sha256":"d54315a9e9d74f1245267b7257cb7247217e5cb47ae7b4cbcf28e19bdb6ce586"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0s05M3J/en4UOAEQYlbP5ecGp1V395W6hHj6jTU6p6HVFZ60XobXibFdwuo50rQp+K2ygNy0XB1PTEJBpkaYAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:55:02.562697Z","bundle_sha256":"474548ee6cf7322b26e7ca34427f35b01999c852b9310b0da0cb3c00401466dc"}}