{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:D47A6JPHMKUZHDEF6SVXIBEYEQ","short_pith_number":"pith:D47A6JPH","canonical_record":{"source":{"id":"1012.0470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-02T16:06:14Z","cross_cats_sorted":[],"title_canon_sha256":"2fb9fe392929fccc100dd0a7c13eded952f569711fe4cc583a3aee41cc74073a","abstract_canon_sha256":"01bf86b642ea8b126a163f61d4c6072c7d410fd8a8f4ff2fa801d5cc2d874541"},"schema_version":"1.0"},"canonical_sha256":"1f3e0f25e762a9938c85f4ab740498242fc90c3b4fe1c783da7fb5bcf8f1e8fc","source":{"kind":"arxiv","id":"1012.0470","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0470","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0470v1","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0470","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"D47A6JPHMKUZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D47A6JPHMKUZHDEF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D47A6JPH","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:D47A6JPHMKUZHDEF6SVXIBEYEQ","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-02T16:06:14Z","cross_cats_sorted":[],"title_canon_sha256":"2fb9fe392929fccc100dd0a7c13eded952f569711fe4cc583a3aee41cc74073a","abstract_canon_sha256":"01bf86b642ea8b126a163f61d4c6072c7d410fd8a8f4ff2fa801d5cc2d874541"},"schema_version":"1.0"},"canonical_sha256":"1f3e0f25e762a9938c85f4ab740498242fc90c3b4fe1c783da7fb5bcf8f1e8fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:16.723241Z","signature_b64":"tzKKsIhcYNh2cwo5CX1pbNzpfJ/7H66RB0pVsE7TsfKravjXEinTmZRSQ7seT5pqMUCsxinbYmvipcm7qcSgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f3e0f25e762a9938c85f4ab740498242fc90c3b4fe1c783da7fb5bcf8f1e8fc","last_reissued_at":"2026-05-18T02:23:16.722809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:16.722809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0470","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTwFtENB2CpzgT66M5O1kBGVWmJIANYnAOOTN9egJto9ttT+Ing1spNflgzYFuBIJW4TJ9+BFdYUev8rb0E6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:54:17.276728Z"},"content_sha256":"7b9ae1cedbfcb64d96bc1d0f702b6e5e40963a27084cf6b2983249d91097c16b","schema_version":"1.0","event_id":"sha256:7b9ae1cedbfcb64d96bc1d0f702b6e5e40963a27084cf6b2983249d91097c16b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:D47A6JPHMKUZHDEF6SVXIBEYEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous transport of a tracer on percolating clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Felix H\\\"ofling, Gerd Schr\\\"oder-Turk, Klaus Mecke, Markus Spanner, Thomas Franosch","submitted_at":"2010-12-02T16:06:14Z","abstract_excerpt":"We investigate the dynamics of a single tracer exploring a course of fixed obstacles in the vicinity of the percolation transition for particles confined to the infinite cluster. The mean-square displacement displays anomalous transport, which extends to infinite times precisely at the critical obstacle density. The slowing down of the diffusion coefficient exhibits power-law behavior for densities close to the critical point and we show that the mean-square displacement fulfills a scaling hypothesis. Furthermore, we calculate the dynamic conductivity as response to an alternating electric fie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0470","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"beYNMj5Qne1cj1+O0Lo0e65iEGHYstCLStrdbLzupl5kjbDN3lVpSqPpMlIHAjxGA/v1D5W+n5QYt7SIvUNPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:54:17.277091Z"},"content_sha256":"b7e3202b94fa93a0c9c3455907c5213d482a6305db1900168f281f4609ea95a6","schema_version":"1.0","event_id":"sha256:b7e3202b94fa93a0c9c3455907c5213d482a6305db1900168f281f4609ea95a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/bundle.json","state_url":"https://pith.science/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/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":"2026-05-27T02:54:17Z","links":{"resolver":"https://pith.science/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ","bundle":"https://pith.science/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/bundle.json","state":"https://pith.science/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D47A6JPHMKUZHDEF6SVXIBEYEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:D47A6JPHMKUZHDEF6SVXIBEYEQ","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":"01bf86b642ea8b126a163f61d4c6072c7d410fd8a8f4ff2fa801d5cc2d874541","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-02T16:06:14Z","title_canon_sha256":"2fb9fe392929fccc100dd0a7c13eded952f569711fe4cc583a3aee41cc74073a"},"schema_version":"1.0","source":{"id":"1012.0470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0470","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0470v1","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0470","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"D47A6JPHMKUZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D47A6JPHMKUZHDEF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D47A6JPH","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:b7e3202b94fa93a0c9c3455907c5213d482a6305db1900168f281f4609ea95a6","target":"graph","created_at":"2026-05-18T02:23:16Z","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 exploring a course of fixed obstacles in the vicinity of the percolation transition for particles confined to the infinite cluster. The mean-square displacement displays anomalous transport, which extends to infinite times precisely at the critical obstacle density. The slowing down of the diffusion coefficient exhibits power-law behavior for densities close to the critical point and we show that the mean-square displacement fulfills a scaling hypothesis. Furthermore, we calculate the dynamic conductivity as response to an alternating electric fie","authors_text":"Felix H\\\"ofling, Gerd Schr\\\"oder-Turk, Klaus Mecke, Markus Spanner, Thomas Franosch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-02T16:06:14Z","title":"Anomalous transport of a tracer on percolating clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0470","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":"sha256:7b9ae1cedbfcb64d96bc1d0f702b6e5e40963a27084cf6b2983249d91097c16b","target":"record","created_at":"2026-05-18T02:23:16Z","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":"01bf86b642ea8b126a163f61d4c6072c7d410fd8a8f4ff2fa801d5cc2d874541","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-02T16:06:14Z","title_canon_sha256":"2fb9fe392929fccc100dd0a7c13eded952f569711fe4cc583a3aee41cc74073a"},"schema_version":"1.0","source":{"id":"1012.0470","kind":"arxiv","version":1}},"canonical_sha256":"1f3e0f25e762a9938c85f4ab740498242fc90c3b4fe1c783da7fb5bcf8f1e8fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f3e0f25e762a9938c85f4ab740498242fc90c3b4fe1c783da7fb5bcf8f1e8fc","first_computed_at":"2026-05-18T02:23:16.722809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:16.722809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzKKsIhcYNh2cwo5CX1pbNzpfJ/7H66RB0pVsE7TsfKravjXEinTmZRSQ7seT5pqMUCsxinbYmvipcm7qcSgBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:16.723241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b9ae1cedbfcb64d96bc1d0f702b6e5e40963a27084cf6b2983249d91097c16b","sha256:b7e3202b94fa93a0c9c3455907c5213d482a6305db1900168f281f4609ea95a6"],"state_sha256":"f87293b4e1b84484363570db78c7033feaefc973a4930a77970770baf3aa9025"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H+jcBg3X8GgLMWRsmB/4EFa/BfgbsSz2Em9qi95wcTgjZ5yo7aLmFxvMC24/JLu6JUiEazX2XuBkXVEiGW+BCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:54:17.279311Z","bundle_sha256":"6b35d6a48c1f33bc46258f4ca2052555276dd146746ced3f991dd130307da80b"}}