{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:35N3C6IRLWX2YCKA7UNJUB6FC6","short_pith_number":"pith:35N3C6IR","schema_version":"1.0","canonical_sha256":"df5bb179115dafac0940fd1a9a07c5179641f77b935f3a64d9988b6fb347191a","source":{"kind":"arxiv","id":"0805.4054","version":2},"attestation_state":"computed","paper":{"title":"The rule for a subdiffusive particle in an extremely diverse environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Ophir Flomenbom","submitted_at":"2008-05-27T17:57:52Z","abstract_excerpt":"The dynamics of a subdiffusive continuous time random walker in an inhomogeneous environment is analyzed. In each microscopic jump, a random time is drawn from a waiting time probability density function (WT-PDF) that decays as a power law: phi(t;k)~k/(1+kt)^(1+beta), 0<beta<1. The parameter k, which is the diffusion coefficient for the jump, is a random quantity also; in each jump, it is drawn from a PDF, p(k)~1/k^gamma (0<gamma<1). We show that this system exhibits a transition in the scaling law of its effective WT-PDF, psi(t), which is obtained when averaging phi(t;k) with p(k). psi(t) dec"},"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":"0805.4054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-05-27T17:57:52Z","cross_cats_sorted":[],"title_canon_sha256":"aee78ceea75d3093858612953d0d2e820899bb89166bb5009d69b9101c7758af","abstract_canon_sha256":"f94e9b792a4c1c6de9c65639ad0ac5a5d86e090f10837a1c0cfbe0d8af9d6522"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:14.742693Z","signature_b64":"JWk0KHl/xGeqTnFEo5yvMrEiXotcH4jE5+1GDRrWN1mpdQkYcGMWQBDsq4TThqsHFs5Gs9/fWajRANR+NkvEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df5bb179115dafac0940fd1a9a07c5179641f77b935f3a64d9988b6fb347191a","last_reissued_at":"2026-05-18T04:42:14.742218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:14.742218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The rule for a subdiffusive particle in an extremely diverse environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Ophir Flomenbom","submitted_at":"2008-05-27T17:57:52Z","abstract_excerpt":"The dynamics of a subdiffusive continuous time random walker in an inhomogeneous environment is analyzed. In each microscopic jump, a random time is drawn from a waiting time probability density function (WT-PDF) that decays as a power law: phi(t;k)~k/(1+kt)^(1+beta), 0<beta<1. The parameter k, which is the diffusion coefficient for the jump, is a random quantity also; in each jump, it is drawn from a PDF, p(k)~1/k^gamma (0<gamma<1). We show that this system exhibits a transition in the scaling law of its effective WT-PDF, psi(t), which is obtained when averaging phi(t;k) with p(k). psi(t) dec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4054","kind":"arxiv","version":2},"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":"0805.4054","created_at":"2026-05-18T04:42:14.742292+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.4054v2","created_at":"2026-05-18T04:42:14.742292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4054","created_at":"2026-05-18T04:42:14.742292+00:00"},{"alias_kind":"pith_short_12","alias_value":"35N3C6IRLWX2","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"35N3C6IRLWX2YCKA","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"35N3C6IR","created_at":"2026-05-18T12:25:56.245647+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/35N3C6IRLWX2YCKA7UNJUB6FC6","json":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6.json","graph_json":"https://pith.science/api/pith-number/35N3C6IRLWX2YCKA7UNJUB6FC6/graph.json","events_json":"https://pith.science/api/pith-number/35N3C6IRLWX2YCKA7UNJUB6FC6/events.json","paper":"https://pith.science/paper/35N3C6IR"},"agent_actions":{"view_html":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6","download_json":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6.json","view_paper":"https://pith.science/paper/35N3C6IR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.4054&json=true","fetch_graph":"https://pith.science/api/pith-number/35N3C6IRLWX2YCKA7UNJUB6FC6/graph.json","fetch_events":"https://pith.science/api/pith-number/35N3C6IRLWX2YCKA7UNJUB6FC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6/action/storage_attestation","attest_author":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6/action/author_attestation","sign_citation":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6/action/citation_signature","submit_replication":"https://pith.science/pith/35N3C6IRLWX2YCKA7UNJUB6FC6/action/replication_record"}},"created_at":"2026-05-18T04:42:14.742292+00:00","updated_at":"2026-05-18T04:42:14.742292+00:00"}