{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CK2KXYZER7ZHROAZBIRM7TCIL7","short_pith_number":"pith:CK2KXYZE","canonical_record":{"source":{"id":"1003.2918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-03-15T13:09:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f3d03937eb5f0e7f7b256cce6de3a171bca6bb7230e8b56e51191605f0836a74","abstract_canon_sha256":"baa56d624cafc31a5c26e0ea46d6e554f3b61d918cafdd41af0ec1622f47aaf9"},"schema_version":"1.0"},"canonical_sha256":"12b4abe3248ff278b8190a22cfcc485fe33f3e94e82da9de9debbc9dbc729cad","source":{"kind":"arxiv","id":"1003.2918","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2918","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2918v1","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2918","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"CK2KXYZER7ZH","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CK2KXYZER7ZHROAZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CK2KXYZE","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CK2KXYZER7ZHROAZBIRM7TCIL7","target":"record","payload":{"canonical_record":{"source":{"id":"1003.2918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-03-15T13:09:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f3d03937eb5f0e7f7b256cce6de3a171bca6bb7230e8b56e51191605f0836a74","abstract_canon_sha256":"baa56d624cafc31a5c26e0ea46d6e554f3b61d918cafdd41af0ec1622f47aaf9"},"schema_version":"1.0"},"canonical_sha256":"12b4abe3248ff278b8190a22cfcc485fe33f3e94e82da9de9debbc9dbc729cad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:46.894627Z","signature_b64":"eaKep5P5FbGX+t4R/8mCMSvbIODf+LlbwLr3lsco41sYL6x7JD3lYszGDET2HX108JwYCF+83N6JnZlCRixSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12b4abe3248ff278b8190a22cfcc485fe33f3e94e82da9de9debbc9dbc729cad","last_reissued_at":"2026-05-18T04:35:46.894174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:46.894174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.2918","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XAMqGbzRiI3tI8S8PCAgicg8MvdfTP6jUMH5jrSD4yIE7K0HIGkJ00Xscs+5/lh+BjmRfw2nU2ee0GaMUcR+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:34.399785Z"},"content_sha256":"60b0cf19be50b36144819bdd7b7a094dcd2596527016aa647b0ccfcd113c61a9","schema_version":"1.0","event_id":"sha256:60b0cf19be50b36144819bdd7b7a094dcd2596527016aa647b0ccfcd113c61a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CK2KXYZER7ZHROAZBIRM7TCIL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Localization Transition of the Two-Dimensional Lorentz Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Erwin Frey, Felix H\\\"ofling, Teresa Bauer, Thomas Franosch, Tobias Munk","submitted_at":"2010-03-15T13:09:02Z","abstract_excerpt":"We investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over many decades in time, which is rationalized in terms of an underlying percolation transition of the void space. In the vicinity of this critical density the dynamics follows the anomalous one up to a crossover time scale where the motion becomes either diffusive or localized. We analyze the scaling behavior of the time-dependent diffusion coefficient D(t) inc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2918","kind":"arxiv","version":1},"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":"2026-05-18T04:35:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jcNQ2q221bBUoLyIxy+mxULKNRFoKp4b5t+HXi2wXXHqobayPAtC+5tBirazgvvoaiQLnI8plEzu9i1ZXDNqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:34.400138Z"},"content_sha256":"fa2e6f10ad2ae68d05165e36bae7633ccbace23c1491298859edf0141231ea5e","schema_version":"1.0","event_id":"sha256:fa2e6f10ad2ae68d05165e36bae7633ccbace23c1491298859edf0141231ea5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/bundle.json","state_url":"https://pith.science/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/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":"2026-06-03T16:34:34Z","links":{"resolver":"https://pith.science/pith/CK2KXYZER7ZHROAZBIRM7TCIL7","bundle":"https://pith.science/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/bundle.json","state":"https://pith.science/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CK2KXYZER7ZHROAZBIRM7TCIL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CK2KXYZER7ZHROAZBIRM7TCIL7","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":"baa56d624cafc31a5c26e0ea46d6e554f3b61d918cafdd41af0ec1622f47aaf9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-03-15T13:09:02Z","title_canon_sha256":"f3d03937eb5f0e7f7b256cce6de3a171bca6bb7230e8b56e51191605f0836a74"},"schema_version":"1.0","source":{"id":"1003.2918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2918","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2918v1","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2918","created_at":"2026-05-18T04:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"CK2KXYZER7ZH","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CK2KXYZER7ZHROAZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CK2KXYZE","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:fa2e6f10ad2ae68d05165e36bae7633ccbace23c1491298859edf0141231ea5e","target":"graph","created_at":"2026-05-18T04:35:46Z","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 investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over many decades in time, which is rationalized in terms of an underlying percolation transition of the void space. In the vicinity of this critical density the dynamics follows the anomalous one up to a crossover time scale where the motion becomes either diffusive or localized. We analyze the scaling behavior of the time-dependent diffusion coefficient D(t) inc","authors_text":"Erwin Frey, Felix H\\\"ofling, Teresa Bauer, Thomas Franosch, Tobias Munk","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-03-15T13:09:02Z","title":"The Localization Transition of the Two-Dimensional Lorentz Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2918","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":"sha256:60b0cf19be50b36144819bdd7b7a094dcd2596527016aa647b0ccfcd113c61a9","target":"record","created_at":"2026-05-18T04:35:46Z","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":"baa56d624cafc31a5c26e0ea46d6e554f3b61d918cafdd41af0ec1622f47aaf9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-03-15T13:09:02Z","title_canon_sha256":"f3d03937eb5f0e7f7b256cce6de3a171bca6bb7230e8b56e51191605f0836a74"},"schema_version":"1.0","source":{"id":"1003.2918","kind":"arxiv","version":1}},"canonical_sha256":"12b4abe3248ff278b8190a22cfcc485fe33f3e94e82da9de9debbc9dbc729cad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12b4abe3248ff278b8190a22cfcc485fe33f3e94e82da9de9debbc9dbc729cad","first_computed_at":"2026-05-18T04:35:46.894174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:46.894174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eaKep5P5FbGX+t4R/8mCMSvbIODf+LlbwLr3lsco41sYL6x7JD3lYszGDET2HX108JwYCF+83N6JnZlCRixSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:46.894627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60b0cf19be50b36144819bdd7b7a094dcd2596527016aa647b0ccfcd113c61a9","sha256:fa2e6f10ad2ae68d05165e36bae7633ccbace23c1491298859edf0141231ea5e"],"state_sha256":"2351d41d1c48c302e5679d529dffdb987d4d78361c3c1900914db54076c4b75e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIPbf7AggyunEqL5E2Hm+xJi0WFN8231b9cVRMszaK7KMeJxGvfbLfA+yN6vo4l3tiUAFWJ/RkERUUZQKTL6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:34:34.402311Z","bundle_sha256":"e4fe7e31064fa9a29c04c41f77b34c061f334e8c0a2396fb578fba912273bb49"}}