{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HRH4RFTP54I4QXBWHAANH6JH2E","short_pith_number":"pith:HRH4RFTP","schema_version":"1.0","canonical_sha256":"3c4fc8966fef11c85c363800d3f927d131ec128ca6f84c30f78e9975aa0b90cf","source":{"kind":"arxiv","id":"1311.3603","version":4},"attestation_state":"computed","paper":{"title":"Anisotropic diffusive transport: connecting microscopic scattering and macroscopic transport properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Erik Alerstam","submitted_at":"2013-11-14T18:44:21Z","abstract_excerpt":"This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and the macroscopic diffusion tensor, in the limit of independent scatterers, is presented. The theory is accompanied by a numerical method capable of performing the calculations. In addition, a boundary condition appropriate for modeling systems with anisotropic radiance is derived. It is shown that anisotropic diffusion theory, when based on these development"},"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":"1311.3603","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-11-14T18:44:21Z","cross_cats_sorted":[],"title_canon_sha256":"bfbb099c395cc5528bc0680d125b07fd0cf23b022aa35362346bc817d2d04b6f","abstract_canon_sha256":"b6076ff453ed6b505c0db31fb3a36d6b2bb849ec64d34dba9377fcd3942b50b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:21.565760Z","signature_b64":"IUfaRRl7bKUTMpkSbfp+Lxo2149DcF4tuPB/3ANpPnrOR1iCB5OuUh3T2vetftEOs6Se9vnPRSkR6/0uHCPPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c4fc8966fef11c85c363800d3f927d131ec128ca6f84c30f78e9975aa0b90cf","last_reissued_at":"2026-05-18T02:45:21.565247Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:21.565247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anisotropic diffusive transport: connecting microscopic scattering and macroscopic transport properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Erik Alerstam","submitted_at":"2013-11-14T18:44:21Z","abstract_excerpt":"This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and the macroscopic diffusion tensor, in the limit of independent scatterers, is presented. The theory is accompanied by a numerical method capable of performing the calculations. In addition, a boundary condition appropriate for modeling systems with anisotropic radiance is derived. It is shown that anisotropic diffusion theory, when based on these development"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3603","kind":"arxiv","version":4},"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":"1311.3603","created_at":"2026-05-18T02:45:21.565331+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.3603v4","created_at":"2026-05-18T02:45:21.565331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3603","created_at":"2026-05-18T02:45:21.565331+00:00"},{"alias_kind":"pith_short_12","alias_value":"HRH4RFTP54I4","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HRH4RFTP54I4QXBW","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HRH4RFTP","created_at":"2026-05-18T12:27:46.883200+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/HRH4RFTP54I4QXBWHAANH6JH2E","json":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E.json","graph_json":"https://pith.science/api/pith-number/HRH4RFTP54I4QXBWHAANH6JH2E/graph.json","events_json":"https://pith.science/api/pith-number/HRH4RFTP54I4QXBWHAANH6JH2E/events.json","paper":"https://pith.science/paper/HRH4RFTP"},"agent_actions":{"view_html":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E","download_json":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E.json","view_paper":"https://pith.science/paper/HRH4RFTP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.3603&json=true","fetch_graph":"https://pith.science/api/pith-number/HRH4RFTP54I4QXBWHAANH6JH2E/graph.json","fetch_events":"https://pith.science/api/pith-number/HRH4RFTP54I4QXBWHAANH6JH2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E/action/storage_attestation","attest_author":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E/action/author_attestation","sign_citation":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E/action/citation_signature","submit_replication":"https://pith.science/pith/HRH4RFTP54I4QXBWHAANH6JH2E/action/replication_record"}},"created_at":"2026-05-18T02:45:21.565331+00:00","updated_at":"2026-05-18T02:45:21.565331+00:00"}