{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ELOHDCVMUCH4HXUOO6EYKJEPW4","short_pith_number":"pith:ELOHDCVM","schema_version":"1.0","canonical_sha256":"22dc718aaca08fc3de8e778985248fb73fac6df19a217139a87874f292d4bfb1","source":{"kind":"arxiv","id":"nlin/0602013","version":1},"attestation_state":"computed","paper":{"title":"Absorbing processes in Richardson diffusion: analytical results","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Angelo Vulpiani, Mogens H. Jensen, Simone Pigolotti","submitted_at":"2006-02-07T12:52:28Z","abstract_excerpt":"We consider the recently addressed problem of a passive particle (a predator), being the center of a ``sphere of interception'' of radius $R$ and able to absorb other passive particles (the preys) entering into the sphere. Assuming that all the particles are advected by a turbulent flow and that, in particular, the Richardson equation properly describes the relative dispersion, we calculate an analytical expression for the flux into the sphere as a function of time, assuming an initial constant density of preys outside the sphere. In the same framework, we show that the distribution of times o"},"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":"nlin/0602013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2006-02-07T12:52:28Z","cross_cats_sorted":[],"title_canon_sha256":"d3de13e7f207ae4a2c11112f53d296fc41a3fe548bfe56b7431533961c032b50","abstract_canon_sha256":"b4b62e701ab135c3a82c3e6721a232c7de9235673edc562ae895c35580c474f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:16.353225Z","signature_b64":"5wMFF4chlDSNF0+h0gxCdQhC8s8qamE2uSRmZi8nkv5Fu8qWUPGmii+OeTTZY+MfIL4r1OgzxyfH+ew3XE9lCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22dc718aaca08fc3de8e778985248fb73fac6df19a217139a87874f292d4bfb1","last_reissued_at":"2026-05-18T04:00:16.352536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:16.352536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Absorbing processes in Richardson diffusion: analytical results","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Angelo Vulpiani, Mogens H. Jensen, Simone Pigolotti","submitted_at":"2006-02-07T12:52:28Z","abstract_excerpt":"We consider the recently addressed problem of a passive particle (a predator), being the center of a ``sphere of interception'' of radius $R$ and able to absorb other passive particles (the preys) entering into the sphere. Assuming that all the particles are advected by a turbulent flow and that, in particular, the Richardson equation properly describes the relative dispersion, we calculate an analytical expression for the flux into the sphere as a function of time, assuming an initial constant density of preys outside the sphere. In the same framework, we show that the distribution of times o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0602013","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":"nlin/0602013","created_at":"2026-05-18T04:00:16.352642+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0602013v1","created_at":"2026-05-18T04:00:16.352642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0602013","created_at":"2026-05-18T04:00:16.352642+00:00"},{"alias_kind":"pith_short_12","alias_value":"ELOHDCVMUCH4","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"ELOHDCVMUCH4HXUO","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"ELOHDCVM","created_at":"2026-05-18T12:25:53.939244+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/ELOHDCVMUCH4HXUOO6EYKJEPW4","json":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4.json","graph_json":"https://pith.science/api/pith-number/ELOHDCVMUCH4HXUOO6EYKJEPW4/graph.json","events_json":"https://pith.science/api/pith-number/ELOHDCVMUCH4HXUOO6EYKJEPW4/events.json","paper":"https://pith.science/paper/ELOHDCVM"},"agent_actions":{"view_html":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4","download_json":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4.json","view_paper":"https://pith.science/paper/ELOHDCVM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0602013&json=true","fetch_graph":"https://pith.science/api/pith-number/ELOHDCVMUCH4HXUOO6EYKJEPW4/graph.json","fetch_events":"https://pith.science/api/pith-number/ELOHDCVMUCH4HXUOO6EYKJEPW4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4/action/storage_attestation","attest_author":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4/action/author_attestation","sign_citation":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4/action/citation_signature","submit_replication":"https://pith.science/pith/ELOHDCVMUCH4HXUOO6EYKJEPW4/action/replication_record"}},"created_at":"2026-05-18T04:00:16.352642+00:00","updated_at":"2026-05-18T04:00:16.352642+00:00"}