{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KY6LJZAOS45AZXXM6CJ4H3PDBP","short_pith_number":"pith:KY6LJZAO","schema_version":"1.0","canonical_sha256":"563cb4e40e973a0cdeecf093c3ede30bdf9bff791c2046affbd2db0b9c1c4162","source":{"kind":"arxiv","id":"1601.01862","version":3},"attestation_state":"computed","paper":{"title":"Effective junction conditions for degenerate parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cyril Imbert (DMA), Vinh Duc Nguyen","submitted_at":"2016-01-08T12:49:51Z","abstract_excerpt":"We are interested in the study of parabolic equations on a multi-dimensional junction, i.e. the union of a finite number of copies of a half-hyperplane of dimension d + 1 whose boundaries are identified. The common boundary is referred to as the junction hyperplane. The parabolic equations on the half-hyperplanes are in non-divergence form, fully non-linear and possibly degenerate, and they do degenerate and are quasi-convex along the junction hyperplane. More precisely, along the junction hyperplane the non-linearities do not depend on second order derivatives and their sublevel sets with res"},"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":"1601.01862","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-08T12:49:51Z","cross_cats_sorted":[],"title_canon_sha256":"00d04abdedca18f013012061bb21c62288fc2f0be56b3247c86da55c6730bc60","abstract_canon_sha256":"311fd550e4f9a4216882497e3db3e3551329e721b5e6aa2863dc0e7b1c930c9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:58.061712Z","signature_b64":"oRzawYW9owt+ceT7HB2ugqiYFjbXtRb1CHa1IYAYoWLHObieIO72uP9iy76nNVJDEWYjjIhMSg/mS07LX3+bDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"563cb4e40e973a0cdeecf093c3ede30bdf9bff791c2046affbd2db0b9c1c4162","last_reissued_at":"2026-05-18T00:34:58.060996Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:58.060996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective junction conditions for degenerate parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cyril Imbert (DMA), Vinh Duc Nguyen","submitted_at":"2016-01-08T12:49:51Z","abstract_excerpt":"We are interested in the study of parabolic equations on a multi-dimensional junction, i.e. the union of a finite number of copies of a half-hyperplane of dimension d + 1 whose boundaries are identified. The common boundary is referred to as the junction hyperplane. The parabolic equations on the half-hyperplanes are in non-divergence form, fully non-linear and possibly degenerate, and they do degenerate and are quasi-convex along the junction hyperplane. More precisely, along the junction hyperplane the non-linearities do not depend on second order derivatives and their sublevel sets with res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01862","kind":"arxiv","version":3},"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":"1601.01862","created_at":"2026-05-18T00:34:58.061121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.01862v3","created_at":"2026-05-18T00:34:58.061121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01862","created_at":"2026-05-18T00:34:58.061121+00:00"},{"alias_kind":"pith_short_12","alias_value":"KY6LJZAOS45A","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"KY6LJZAOS45AZXXM","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"KY6LJZAO","created_at":"2026-05-18T12:30:29.479603+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/KY6LJZAOS45AZXXM6CJ4H3PDBP","json":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP.json","graph_json":"https://pith.science/api/pith-number/KY6LJZAOS45AZXXM6CJ4H3PDBP/graph.json","events_json":"https://pith.science/api/pith-number/KY6LJZAOS45AZXXM6CJ4H3PDBP/events.json","paper":"https://pith.science/paper/KY6LJZAO"},"agent_actions":{"view_html":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP","download_json":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP.json","view_paper":"https://pith.science/paper/KY6LJZAO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.01862&json=true","fetch_graph":"https://pith.science/api/pith-number/KY6LJZAOS45AZXXM6CJ4H3PDBP/graph.json","fetch_events":"https://pith.science/api/pith-number/KY6LJZAOS45AZXXM6CJ4H3PDBP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP/action/storage_attestation","attest_author":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP/action/author_attestation","sign_citation":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP/action/citation_signature","submit_replication":"https://pith.science/pith/KY6LJZAOS45AZXXM6CJ4H3PDBP/action/replication_record"}},"created_at":"2026-05-18T00:34:58.061121+00:00","updated_at":"2026-05-18T00:34:58.061121+00:00"}