{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5CVM622BJ4UPG2OULQEVSP6CFI","short_pith_number":"pith:5CVM622B","schema_version":"1.0","canonical_sha256":"e8aacf6b414f28f369d45c09593fc22a305ee9c2cfe06fc7beb8dcd3435b6e75","source":{"kind":"arxiv","id":"1008.2323","version":1},"attestation_state":"computed","paper":{"title":"Renewal-anomalous-heterogeneous files","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.SC"],"primary_cat":"cond-mat.soft","authors_text":"Ophir Flomenbom","submitted_at":"2010-08-13T14:16:32Z","abstract_excerpt":"Renewal-anomalous-heterogeneous files are solved. A simple file is made of Brownian hard spheres that diffuse stochastically in an effective 1D channel. Generally, Brownian files are heterogeneous: the spheres' diffusion coefficients are distributed and the initial spheres' density is non-uniform. In renewal-anomalous files, the distribution of waiting times for individual jumps is exponential as in Brownian files, yet obeys: {\\psi}_{\\alpha} (t)~t^(-1-{\\alpha}), 0<{\\alpha}<1. The file is renewal as all the particles attempt to jump at the same time. It is shown that the mean square displacemen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1008.2323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-08-13T14:16:32Z","cross_cats_sorted":["q-bio.SC"],"title_canon_sha256":"4c218a3a247fbee7ff4234e0de44207e41b07d25dde7799f40861e01c944f332","abstract_canon_sha256":"e69f0e8eedf32a6183b0c803eebc490cfe7444adeccfcb6370d8e69303a6469c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:48.575080Z","signature_b64":"TJTSCXEyYOFJdv+sMaxubfu0a+jVRO9+TISDYJ5iBDMkKrZAmatwGojZPExPVRVP/g3c6uNsJKm/awAIlHU5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8aacf6b414f28f369d45c09593fc22a305ee9c2cfe06fc7beb8dcd3435b6e75","last_reissued_at":"2026-05-18T02:05:48.574373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:48.574373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renewal-anomalous-heterogeneous files","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.SC"],"primary_cat":"cond-mat.soft","authors_text":"Ophir Flomenbom","submitted_at":"2010-08-13T14:16:32Z","abstract_excerpt":"Renewal-anomalous-heterogeneous files are solved. A simple file is made of Brownian hard spheres that diffuse stochastically in an effective 1D channel. Generally, Brownian files are heterogeneous: the spheres' diffusion coefficients are distributed and the initial spheres' density is non-uniform. In renewal-anomalous files, the distribution of waiting times for individual jumps is exponential as in Brownian files, yet obeys: {\\psi}_{\\alpha} (t)~t^(-1-{\\alpha}), 0<{\\alpha}<1. The file is renewal as all the particles attempt to jump at the same time. It is shown that the mean square displacemen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2323","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.2323","created_at":"2026-05-18T02:05:48.574486+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2323v1","created_at":"2026-05-18T02:05:48.574486+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2323","created_at":"2026-05-18T02:05:48.574486+00:00"},{"alias_kind":"pith_short_12","alias_value":"5CVM622BJ4UP","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5CVM622BJ4UPG2OU","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5CVM622B","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI","json":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI.json","graph_json":"https://pith.science/api/pith-number/5CVM622BJ4UPG2OULQEVSP6CFI/graph.json","events_json":"https://pith.science/api/pith-number/5CVM622BJ4UPG2OULQEVSP6CFI/events.json","paper":"https://pith.science/paper/5CVM622B"},"agent_actions":{"view_html":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI","download_json":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI.json","view_paper":"https://pith.science/paper/5CVM622B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2323&json=true","fetch_graph":"https://pith.science/api/pith-number/5CVM622BJ4UPG2OULQEVSP6CFI/graph.json","fetch_events":"https://pith.science/api/pith-number/5CVM622BJ4UPG2OULQEVSP6CFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI/action/storage_attestation","attest_author":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI/action/author_attestation","sign_citation":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI/action/citation_signature","submit_replication":"https://pith.science/pith/5CVM622BJ4UPG2OULQEVSP6CFI/action/replication_record"}},"created_at":"2026-05-18T02:05:48.574486+00:00","updated_at":"2026-05-18T02:05:48.574486+00:00"}