{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RUPFE6NDOPIU6X7N63DD6IDVNC","short_pith_number":"pith:RUPFE6ND","schema_version":"1.0","canonical_sha256":"8d1e5279a373d14f5fedf6c63f20756896a2fada2f02a033324d920cbe35d543","source":{"kind":"arxiv","id":"1610.04801","version":1},"attestation_state":"computed","paper":{"title":"Random walks with fractally correlated traps: Stretched exponential and power law survival kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alex V. Plyukhin, Dan Plyukhin","submitted_at":"2016-10-16T00:18:02Z","abstract_excerpt":"We consider the survival probability $f(t)$ of a random walk with a constant hopping rate $w$ on a host lattice of fractal dimension $d$ and spectral dimension $d_s\\le 2$, with spatially correlated traps. The traps form a sublattice with fractal dimension $d_a<d$ and are characterized by the absorption rate $w_a$ which may be finite (imperfect traps) or infinite (perfect traps). Initial coordinates are chosen randomly at or within a fixed distance of a trap. For weakly absorbing traps ($w_a\\ll w$), we find that $f(t)$ can be closely approximated by a stretched exponential function over the ini"},"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":"1610.04801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-16T00:18:02Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"ada58c2f4d25a21419d4547340626adc86e76c20a4db7559b116be6cbb6d681e","abstract_canon_sha256":"f3f002454be25956ac7d17025845aeae6cbb367c678d7492640b8f6729b591a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:25.539769Z","signature_b64":"mmRXB4qg2w9sKFPyMRf/evg9QpZvlQae/2D0gzE6hNs9IJuFMjw69+lafeDaDg6U4JDDfY2U5ZD6nKcTh7NcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d1e5279a373d14f5fedf6c63f20756896a2fada2f02a033324d920cbe35d543","last_reissued_at":"2026-05-18T00:57:25.539208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:25.539208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random walks with fractally correlated traps: Stretched exponential and power law survival kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alex V. Plyukhin, Dan Plyukhin","submitted_at":"2016-10-16T00:18:02Z","abstract_excerpt":"We consider the survival probability $f(t)$ of a random walk with a constant hopping rate $w$ on a host lattice of fractal dimension $d$ and spectral dimension $d_s\\le 2$, with spatially correlated traps. The traps form a sublattice with fractal dimension $d_a<d$ and are characterized by the absorption rate $w_a$ which may be finite (imperfect traps) or infinite (perfect traps). Initial coordinates are chosen randomly at or within a fixed distance of a trap. For weakly absorbing traps ($w_a\\ll w$), we find that $f(t)$ can be closely approximated by a stretched exponential function over the ini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04801","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":"1610.04801","created_at":"2026-05-18T00:57:25.539298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.04801v1","created_at":"2026-05-18T00:57:25.539298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04801","created_at":"2026-05-18T00:57:25.539298+00:00"},{"alias_kind":"pith_short_12","alias_value":"RUPFE6NDOPIU","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RUPFE6NDOPIU6X7N","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RUPFE6ND","created_at":"2026-05-18T12:30:41.710351+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/RUPFE6NDOPIU6X7N63DD6IDVNC","json":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC.json","graph_json":"https://pith.science/api/pith-number/RUPFE6NDOPIU6X7N63DD6IDVNC/graph.json","events_json":"https://pith.science/api/pith-number/RUPFE6NDOPIU6X7N63DD6IDVNC/events.json","paper":"https://pith.science/paper/RUPFE6ND"},"agent_actions":{"view_html":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC","download_json":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC.json","view_paper":"https://pith.science/paper/RUPFE6ND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.04801&json=true","fetch_graph":"https://pith.science/api/pith-number/RUPFE6NDOPIU6X7N63DD6IDVNC/graph.json","fetch_events":"https://pith.science/api/pith-number/RUPFE6NDOPIU6X7N63DD6IDVNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC/action/storage_attestation","attest_author":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC/action/author_attestation","sign_citation":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC/action/citation_signature","submit_replication":"https://pith.science/pith/RUPFE6NDOPIU6X7N63DD6IDVNC/action/replication_record"}},"created_at":"2026-05-18T00:57:25.539298+00:00","updated_at":"2026-05-18T00:57:25.539298+00:00"}