{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GPKVNAJTJXXBES2WN46F7MHTCG","short_pith_number":"pith:GPKVNAJT","schema_version":"1.0","canonical_sha256":"33d55681334dee124b566f3c5fb0f3118461e1e30d73b7bc061843226c1be7df","source":{"kind":"arxiv","id":"1703.01132","version":1},"attestation_state":"computed","paper":{"title":"Analysis of a fractional-step scheme for the P1 radiative diffusion model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Aur\\'elien Larcher (LATP, IRSN), Jean-Claude Latch\\'e (IRSN), Raphaele Herbin (I2M), Thierry Gallou\\\"et (I2M)","submitted_at":"2017-03-03T12:39:55Z","abstract_excerpt":"We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite volume fractional-step scheme for this problem enjoying the following properties. First, we show that each discrete solution satisfies a priori L -estimates, through a discrete maxi- mum principle; by a topological degree argument, this yields the existence of a solution, which is proven to be unique. Second, we establish uniform (with respect to the size of the meshes and the time step) L2 -bounds for the space and"},"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":"1703.01132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-03T12:39:55Z","cross_cats_sorted":[],"title_canon_sha256":"4e7f6ccb18bee81f0377caa3098f928b0b942b2829c61e679972ce96f1bf959c","abstract_canon_sha256":"cb3712d28bc5b80ecb6006c82779fee4530c9da51d094a3e63cdeb60555a6352"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:35.900377Z","signature_b64":"/fD+TpIz0DmogkwDv1gY/81ywYuRDE9/WKSbLag/lT8WnAa6r36x3JrOSKjHdjxf0uK3xl8KyYpmcNLCrZvnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33d55681334dee124b566f3c5fb0f3118461e1e30d73b7bc061843226c1be7df","last_reissued_at":"2026-05-18T00:49:35.899674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:35.899674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of a fractional-step scheme for the P1 radiative diffusion model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Aur\\'elien Larcher (LATP, IRSN), Jean-Claude Latch\\'e (IRSN), Raphaele Herbin (I2M), Thierry Gallou\\\"et (I2M)","submitted_at":"2017-03-03T12:39:55Z","abstract_excerpt":"We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite volume fractional-step scheme for this problem enjoying the following properties. First, we show that each discrete solution satisfies a priori L -estimates, through a discrete maxi- mum principle; by a topological degree argument, this yields the existence of a solution, which is proven to be unique. Second, we establish uniform (with respect to the size of the meshes and the time step) L2 -bounds for the space and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01132","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":"1703.01132","created_at":"2026-05-18T00:49:35.899774+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01132v1","created_at":"2026-05-18T00:49:35.899774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01132","created_at":"2026-05-18T00:49:35.899774+00:00"},{"alias_kind":"pith_short_12","alias_value":"GPKVNAJTJXXB","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GPKVNAJTJXXBES2W","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GPKVNAJT","created_at":"2026-05-18T12:31:18.294218+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/GPKVNAJTJXXBES2WN46F7MHTCG","json":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG.json","graph_json":"https://pith.science/api/pith-number/GPKVNAJTJXXBES2WN46F7MHTCG/graph.json","events_json":"https://pith.science/api/pith-number/GPKVNAJTJXXBES2WN46F7MHTCG/events.json","paper":"https://pith.science/paper/GPKVNAJT"},"agent_actions":{"view_html":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG","download_json":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG.json","view_paper":"https://pith.science/paper/GPKVNAJT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01132&json=true","fetch_graph":"https://pith.science/api/pith-number/GPKVNAJTJXXBES2WN46F7MHTCG/graph.json","fetch_events":"https://pith.science/api/pith-number/GPKVNAJTJXXBES2WN46F7MHTCG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG/action/storage_attestation","attest_author":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG/action/author_attestation","sign_citation":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG/action/citation_signature","submit_replication":"https://pith.science/pith/GPKVNAJTJXXBES2WN46F7MHTCG/action/replication_record"}},"created_at":"2026-05-18T00:49:35.899774+00:00","updated_at":"2026-05-18T00:49:35.899774+00:00"}