{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:PHOIOSDRXXBDPFGP2KT5MHGAVS","short_pith_number":"pith:PHOIOSDR","schema_version":"1.0","canonical_sha256":"79dc874871bdc23794cfd2a7d61cc0aca200d924e832a6e7121291e345f3b393","source":{"kind":"arxiv","id":"1007.2529","version":2},"attestation_state":"computed","paper":{"title":"Diffusion-limited reactions in crowded environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. De Michele, F. Piazza, G. Foffi, N. Dorsaz, P. De Los Rios","submitted_at":"2010-07-15T10:40:10Z","abstract_excerpt":"Diffusion-limited reactions (DLR) are usually described within the Smoluchowski theory, which neglects interactions between the diffusing components. We propose a first extension of such frame- work that incorporates excluded-volume effects, considering hard diffusing agents in the presence of an absorbing sink. For large values of the absorber-to-diffuser size ratio Rs, the encounter rate obtained from the simulations is in very good agreement with a simple generalization of the Smolu- chowski equation at high densities. Reducing Rs, the rate gets substantially depressed at interme- diate pac"},"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":"1007.2529","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-15T10:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"bca29b8a965f06da2847c77bc68af40b91c7061e2f7359ce1a2d3d842952148e","abstract_canon_sha256":"509f78ba260f32497d8132fbb50d88d102c5329b470321063157f9edfa8e45d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:55.235518Z","signature_b64":"ybcQM2vlPZ9WlbwRRTuRfvRS13q5SHCkMJbfSelpyyvNeOlYmcnUSNwOtQbAftSL0xiknUfxGrKNZYsIGNr1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79dc874871bdc23794cfd2a7d61cc0aca200d924e832a6e7121291e345f3b393","last_reissued_at":"2026-05-18T04:34:55.235029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:55.235029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion-limited reactions in crowded environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. De Michele, F. Piazza, G. Foffi, N. Dorsaz, P. De Los Rios","submitted_at":"2010-07-15T10:40:10Z","abstract_excerpt":"Diffusion-limited reactions (DLR) are usually described within the Smoluchowski theory, which neglects interactions between the diffusing components. We propose a first extension of such frame- work that incorporates excluded-volume effects, considering hard diffusing agents in the presence of an absorbing sink. For large values of the absorber-to-diffuser size ratio Rs, the encounter rate obtained from the simulations is in very good agreement with a simple generalization of the Smolu- chowski equation at high densities. Reducing Rs, the rate gets substantially depressed at interme- diate pac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2529","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":"1007.2529","created_at":"2026-05-18T04:34:55.235089+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.2529v2","created_at":"2026-05-18T04:34:55.235089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2529","created_at":"2026-05-18T04:34:55.235089+00:00"},{"alias_kind":"pith_short_12","alias_value":"PHOIOSDRXXBD","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"PHOIOSDRXXBDPFGP","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"PHOIOSDR","created_at":"2026-05-18T12:26:12.377268+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/PHOIOSDRXXBDPFGP2KT5MHGAVS","json":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS.json","graph_json":"https://pith.science/api/pith-number/PHOIOSDRXXBDPFGP2KT5MHGAVS/graph.json","events_json":"https://pith.science/api/pith-number/PHOIOSDRXXBDPFGP2KT5MHGAVS/events.json","paper":"https://pith.science/paper/PHOIOSDR"},"agent_actions":{"view_html":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS","download_json":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS.json","view_paper":"https://pith.science/paper/PHOIOSDR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.2529&json=true","fetch_graph":"https://pith.science/api/pith-number/PHOIOSDRXXBDPFGP2KT5MHGAVS/graph.json","fetch_events":"https://pith.science/api/pith-number/PHOIOSDRXXBDPFGP2KT5MHGAVS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS/action/storage_attestation","attest_author":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS/action/author_attestation","sign_citation":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS/action/citation_signature","submit_replication":"https://pith.science/pith/PHOIOSDRXXBDPFGP2KT5MHGAVS/action/replication_record"}},"created_at":"2026-05-18T04:34:55.235089+00:00","updated_at":"2026-05-18T04:34:55.235089+00:00"}