{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4ZCUDYOYIDTEGJJJG6HTQEOSPI","short_pith_number":"pith:4ZCUDYOY","schema_version":"1.0","canonical_sha256":"e64541e1d840e6432529378f3811d27a0f51b098887a2194567ef7d1e67a6b4f","source":{"kind":"arxiv","id":"1707.07973","version":1},"attestation_state":"computed","paper":{"title":"Lagrangian Numerical Methods for Ocean Biogeochemical Simulations","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Francesco Paparella, Marina Popolizio","submitted_at":"2017-07-25T13:06:49Z","abstract_excerpt":"We propose two closely--related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be used in settings where the flow is nearly incompressible and the P\\'eclet numbers are so high that resolving all the scales of motion is unfeasible. This is commonplace in ocean flows. Our methods consist in augmenting the method of characteristics, which is suitable for advection--reaction problems, with couplings among nearby particles, producing fluxes that mimic diffusion, or unresolved small-scale transport. The m"},"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":"1707.07973","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-07-25T13:06:49Z","cross_cats_sorted":[],"title_canon_sha256":"f61d3ac80b00eeaa153ddf20750b30d2c1d6bbba45c1b005fe5e11ac59944cf3","abstract_canon_sha256":"515c6da61b24a77526b40b5244e66ae203aed1405465400cdc1c0ce55e0de141"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:27.541793Z","signature_b64":"dBS1RqCrTGMl/rt7Eoqig7C+8L9WivXiO8paz3WnPr/CbN9fng2BoHy+lRg4uyYUd2MYjflFrTR3QSLLbYwYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e64541e1d840e6432529378f3811d27a0f51b098887a2194567ef7d1e67a6b4f","last_reissued_at":"2026-05-18T00:21:27.541036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:27.541036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lagrangian Numerical Methods for Ocean Biogeochemical Simulations","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Francesco Paparella, Marina Popolizio","submitted_at":"2017-07-25T13:06:49Z","abstract_excerpt":"We propose two closely--related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be used in settings where the flow is nearly incompressible and the P\\'eclet numbers are so high that resolving all the scales of motion is unfeasible. This is commonplace in ocean flows. Our methods consist in augmenting the method of characteristics, which is suitable for advection--reaction problems, with couplings among nearby particles, producing fluxes that mimic diffusion, or unresolved small-scale transport. The m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07973","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":"1707.07973","created_at":"2026-05-18T00:21:27.541159+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07973v1","created_at":"2026-05-18T00:21:27.541159+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07973","created_at":"2026-05-18T00:21:27.541159+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ZCUDYOYIDTE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ZCUDYOYIDTEGJJJ","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ZCUDYOY","created_at":"2026-05-18T12:31:00.734936+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/4ZCUDYOYIDTEGJJJG6HTQEOSPI","json":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI.json","graph_json":"https://pith.science/api/pith-number/4ZCUDYOYIDTEGJJJG6HTQEOSPI/graph.json","events_json":"https://pith.science/api/pith-number/4ZCUDYOYIDTEGJJJG6HTQEOSPI/events.json","paper":"https://pith.science/paper/4ZCUDYOY"},"agent_actions":{"view_html":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI","download_json":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI.json","view_paper":"https://pith.science/paper/4ZCUDYOY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07973&json=true","fetch_graph":"https://pith.science/api/pith-number/4ZCUDYOYIDTEGJJJG6HTQEOSPI/graph.json","fetch_events":"https://pith.science/api/pith-number/4ZCUDYOYIDTEGJJJG6HTQEOSPI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI/action/storage_attestation","attest_author":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI/action/author_attestation","sign_citation":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI/action/citation_signature","submit_replication":"https://pith.science/pith/4ZCUDYOYIDTEGJJJG6HTQEOSPI/action/replication_record"}},"created_at":"2026-05-18T00:21:27.541159+00:00","updated_at":"2026-05-18T00:21:27.541159+00:00"}